{"id":15731,"date":"2022-04-03T10:20:26","date_gmt":"2022-04-03T04:50:26","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=15731"},"modified":"2022-04-07T11:06:27","modified_gmt":"2022-04-07T05:36:27","slug":"big-ideas-math-answers-grade-5-chapter-12","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane"},"content":{"rendered":"<p><strong>Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane<\/strong> will help the students to improve their math skills easily. Answers are provided for Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane along with the explanation. All the solutions are explained clearly step-by-step in a simple manner. Every topic is explained by the math experts and given with real-time examples. Therefore, make your preparation simple by referring to our <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">Big Ideas Math Answers Grade 5<\/a> Chapter 12 Patterns in the Coordinate Plane.<\/p>\n<h2>Big Ideas Math Book 5th Grade Chapter 12 Patterns in the Coordinate Plane Answer Key<\/h2>\n<p>Students who are struggling to solve Big Ideas Math Book 5th Grade Answer Key Chapter 12 Patterns in the Coordinate Plane have reached the correct place. This<strong> BIM Book 5th Grade 12th Chapter Answer Key<\/strong> gives the most accurate answers to all the questions related to this chapter. Different methods of solving every question are given on this page. Verify the below links to know the different methods to solve problems. Be the first to learn the concepts and practice all the questions available here.<\/p>\n<p><strong>Lesson: 1 Plot Points in a Coordinate Plane<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.1_Plot_Points_in_a_Coordinate_Plane\">Lesson 12.1 Plot Points in a Coordinate Plane<\/a><\/li>\n<li><a href=\"#Plot_Points_in_a_Coordinate_Plane_Homework_&amp;_practice_12.1\">Plot Points in a Coordinate Plane Homework &amp; practice 12.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Relate Points in a Coordinate Plane<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.2_Relate_Points_in_a_Coordinate_Plane\">Lesson 12.2 Relate Points in a Coordinate Plane<\/a><\/li>\n<li><a href=\"#Relate_Points_in_a_Coordinate_Plane_Homework_&amp;_Practice_12.2\">Relate Points in a Coordinate Plane Homework &amp; Practice 12.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Draw polygons in a Coordinate Plane<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.3_Draw_polygons_in_a_Coordinate_Plane\">Lesson 12.3 Draw polygons in a Coordinate Plane<\/a><\/li>\n<li><a href=\"#Draw_polygons_in_a_Coordinate_Plane_Homework_&amp;_Practice_12.3\">Draw polygons in a Coordinate Plane Homework &amp; Practice 12.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Graph Data<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.4_Graph_Data\">Lesson 12.4 Graph Data<\/a><\/li>\n<li><a href=\"#Graph_Data_Homework_&amp;_Practice_12.4\">Graph Data Homework &amp; Practice 12.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Make and Interpret Line Graphs<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.5_Make_and_Interpret_Line_Graphs\">Lesson 12.5 Make and Interpret Line Graphs<\/a><\/li>\n<li><a href=\"#Make_and_Interpret_Line_Graphs_Homework_&amp;_Practice_12.5\">Make and Interpret Line Graphs Homework &amp; Practice 12.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Numerical Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.6_Numerical_Paterns\">Lesson 12.6 Numerical Patterns<\/a><\/li>\n<li><a href=\"#Numerical_Paterns_Homework_&amp;_Practice_12.6\">Numerical Patterns Homework &amp; Practice 12.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Graph and Analyze Relationships<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_12.7_Graph_and_Analyze_Relationships\">Lesson 12.7 Graph and Analyze Relationships<\/a><\/li>\n<li><a href=\"#Graph_and_Analyze_Relationships_Homework_&amp;_Practice_12.7\">Graph and Analyze Relationships Homework &amp; Practice 12.7<\/a><\/li>\n<\/ul>\n<p><strong>Chapter: 12 &#8211; Patterns in the Coordinate Plane<\/strong><\/p>\n<ul>\n<li><a href=\"#Patterns_in_the_Coordinate_Plane_Performance_Task_12\">Patterns in the Coordinate Plane Performance Task 12<\/a><\/li>\n<li><a href=\"#Patterns_in_the_Coordinate_Plane_Treasure_Hunt\">Patterns in the Coordinate Plane Treasure Hunt<\/a><\/li>\n<li><a href=\"#Patterns_in_the_Coordinate_Plane_Chapter_Practice_12\">Patterns in the Coordinate Plane Chapter Practice 12<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_12.1_Plot_Points_in_a_Coordinate_Plane\"><\/a>Lesson 12.1 Plot Points in a Coordinate Plane<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Choose a location for your buried treasure on the grid. Choose a point where two grid lines My Treasure intersect. An example is shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15965\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 1\" width=\"167\" height=\"186\" \/><br \/>\nTake turns with a partner guessing the location of each other\u2019s buried treasure. Keep track of your guesses on the grid. After each guess, give a clue to help yourMy Guessespartner, such as \u201cmy treasure is northwest of your guess.\u201dThis is an image Continue to guess until a treasure is located.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 2\" width=\"557\" height=\"271\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-2.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-2-300x146.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><br \/>\n<strong>Reasoning<\/strong><br \/>\nThe point where the horizontal number line and the vertical number line intersect is called the origin. Why do you think it is called that?<\/p>\n<p><strong>Think and Grow: The Coordinate Plane<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nA coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. An ordered pair is a pair of numbers that is used to locate a point in a coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15967\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 3\" width=\"623\" height=\"252\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-3.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-3-300x121.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\n<strong>Example<\/strong><br \/>\nWrite the ordered pair that corresponds to point M.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15987\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 4\" width=\"311\" height=\"345\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-4.png 311w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-4-270x300.png 270w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15988\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 5\" width=\"306\" height=\"432\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-5.png 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-5-213x300.png 213w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nThe horizontal distance from the origin to point M is __ units. So, the x-coordinate is __.<br \/>\nThe vertical distance from the origin to point M is ___ units. So, the y-coordinate is ___. The ordered pair is __.<\/p>\n<p>Answer:<br \/>\nThe horizontal distance from the origin to point M is 5 units. So, the x-coordinate is 5.<br \/>\nThe vertical distance from the origin to point M is 5units. So, the y-coordinate is 3. The ordered pair is (5, 3).<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Write the ordered pair corresponding to the point.<\/p>\n<p>Question 1.<br \/>\nPoint B<br \/>\nAnswer:(4,2)<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-1-1\/\" rel=\"attachment wp-att-38542\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-38542\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.1-1.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.1-1\" width=\"151\" height=\"151\" \/><\/a><br \/>\nExplanation:<br \/>\nThe horizontal distance from the origin to point B is <span style=\"text-decoration: underline;\">_4_<\/span> units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_4_.<\/span><br \/>\nThe vertical distance from the origin to point B is <span style=\"text-decoration: underline;\">__2_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_2__.<\/span> The ordered pair is <span style=\"text-decoration: underline;\">_(4,2)_.<\/span><\/p>\n<p>Question 2.<br \/>\nPoint S<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6\" width=\"151\" height=\"151\" \/><br \/>\nAnswer:(0,4)<br \/>\nExplanation:<br \/>\nThe horizontal distance from the origin to point S is <span style=\"text-decoration: underline;\">0 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_0_.<\/span><br \/>\nThe vertical distance from the origin to point S is <span style=\"text-decoration: underline;\">__4_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_4__.<\/span><br \/>\nThe ordered pair is _(0,4)_.<\/p>\n<p>Plot and label the point in the coordinate plane.<\/p>\n<p>Question 3.<br \/>\nF(5, 4)<br \/>\nAnswer:(5,4)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-3\/\" rel=\"attachment wp-att-39295\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39295\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-3.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 3\" width=\"208\" height=\"205\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\"> 5\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 4\u00a0<\/span>units up. Then plot and label the point.<br \/>\nThe point can be labeled as Y,(5,4)<\/p>\n<p>Question 4.<br \/>\nP(3, 0)<br \/>\nAnswer:(3,0)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-4\/\" rel=\"attachment wp-att-39297\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39297\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-4.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 4\" width=\"224\" height=\"210\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\"> 3\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 0\u00a0<\/span>units up. Then plot and label the point.<br \/>\nThe point can be labeled as Y,(3,0)<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use the coordinate plane to write the ordered pair corresponding to the point.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><\/p>\n<p>Question 5.<br \/>\nPoint M<br \/>\nAnswer:(8,8)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point M is <span style=\"text-decoration: underline;\">8\u00a0<\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_8_.<\/span><br \/>\nThe vertical distance from the origin to point M is <span style=\"text-decoration: underline;\">__8<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">8_.<\/span><br \/>\nThe ordered pair is _<span style=\"text-decoration: underline;\">(8,8)<\/span>_.<\/p>\n<p>Question 6.<br \/>\nPoint Q<br \/>\nAnswer:(2,7)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point Q is 2 \u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_2_.<\/span><br \/>\nThe vertical distance from the origin to point Q is <span style=\"text-decoration: underline;\">__7_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_7__.<\/span><br \/>\nThe ordered pair is _<span style=\"text-decoration: underline;\">(2,7)<\/span>_.<\/p>\n<p>Question 7.<br \/>\nPoint N<br \/>\nAnswer: (7,6)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point N is <span style=\"text-decoration: underline;\">7<\/span> units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_7_.<\/span><br \/>\nThe vertical distance from the origin to point N is <span style=\"text-decoration: underline;\">_6_<\/span> units.<br \/>\nSo, the y-coordinate is _<span style=\"text-decoration: underline;\">6<\/span>__.<br \/>\nThe ordered pair is _<span style=\"text-decoration: underline;\">(7,6)_<\/span>.<\/p>\n<p>Question 8.<br \/>\nPoint R<br \/>\nAnswer:(2,0)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point R is <span style=\"text-decoration: underline;\">2 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_2_.<\/span><br \/>\nThe vertical distance from the origin to point R is <span style=\"text-decoration: underline;\">__0_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_0_.<\/span><br \/>\nThe ordered pair is <span style=\"text-decoration: underline;\">_(2,0)_<\/span>.<\/p>\n<p>Question 9.<br \/>\nPoint P<br \/>\nAnswer:(6,1)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point P is <span style=\"text-decoration: underline;\">6 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_6_.<\/span><br \/>\nThe vertical distance from the origin to point P is <span style=\"text-decoration: underline;\">__1_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_4__.<\/span><br \/>\nThe ordered pair is _(6,1)_.<\/p>\n<p>Question 10.<br \/>\nPoint T<br \/>\nAnswer: (0,5)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 6.1\" width=\"209\" height=\"195\" \/><br \/>\nThe horizontal distance from the origin to point T is <span style=\"text-decoration: underline;\">0\u00a0<\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_0_.<\/span><br \/>\nThe vertical distance from the origin to point P is <span style=\"text-decoration: underline;\">__5_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_5__.<\/span><br \/>\nThe ordered pair is _(0,5)_.<\/p>\n<p>Plot and label the point in the coordinate plane above.<\/p>\n<p>Question 11.<br \/>\nS(0, 3)<br \/>\nAnswer: The Point can be labeled as (0,3)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-11-2\/\" rel=\"attachment wp-att-39287\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39287\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-11-1.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 11\" width=\"196\" height=\"178\" \/><\/a><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">0\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 3 <\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(0,3)<\/p>\n<p>Question 12.<br \/>\nF(2, 5)<br \/>\nAnswer: (2,5)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12\/\" rel=\"attachment wp-att-39279\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39279\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12\" width=\"207\" height=\"223\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\">2\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 5 <\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(2,5)<\/p>\n<p>Question 13.<br \/>\nW(0, 0)<br \/>\nAnswer:(0,0)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-13-2\/\" rel=\"attachment wp-att-39290\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39290\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-13-1.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 13\" width=\"184\" height=\"182\" \/><\/a><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">0\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 0 <\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(0,0)<\/p>\n<p>Name the point for the ordered pair.<\/p>\n<p>Question 14.<br \/>\n(5, 2)<br \/>\nAnswer: D(5,2)<br \/>\nExplanation:<br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">5\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 2 <\/span> units up then label the point.<br \/>\nThe point can be Named as D(5,2)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-7.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 7.1\" width=\"208\" height=\"205\" \/><\/p>\n<p>Question 15.<br \/>\n(8, 4)<br \/>\nAnswer: E(8,4)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-7.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 7.1\" width=\"208\" height=\"205\" \/><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">8\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 4 <\/span> units up then label the point.<br \/>\nThe point can be Named as E(8,4)<\/p>\n<p>Question 16.<br \/>\n(0, 3)<br \/>\nAnswer: F(0,3)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-7.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 7.1\" width=\"208\" height=\"205\" \/><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">0\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 3 <\/span> units up then label the point.<br \/>\nThe point can be Named as D(5,2)<\/p>\n<p>Question 17.<br \/>\n<strong>Reasoning<\/strong><br \/>\nHow are the locations of the points A(0, 4) and B(4, 0) different in a coordinate plane?<br \/>\nAnswer: A(0,4) is in Y axis as x is 0 and y is 4. B(4,0) is in X axis as x is 4 and y is 0.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nNewton buries a bone in a park at the location shown. How can he use a coordinate plane to describe its location?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 8\" width=\"160\" height=\"110\" \/><\/p>\n<p>Answer:<br \/>\nHe can use the x-coordinate and y-coordinate to describe the location.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nIn a video game, you move an aircraft carrier and a tugboat away from your base. Use the directions to plot and label the locations of the aircraft carrier and the tugboat.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 9\" width=\"275\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-9.png 275w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-9-271x300.png 271w\" sizes=\"(max-width: 275px) 100vw, 275px\" \/><br \/>\n\u2022 Aircraft carrier: Located 3 miles east and 4 miles north of your base.<br \/>\n\u2022 Tugboat: Located 8 miles east and twice as many miles north of your base as the aircraft carrier.<br \/>\nTo find the location of the aircraft carrier, start at your base, which is at the origin.<\/p>\n<p>Move __ units east, or right, and ___ units north, or up.<br \/>\nPlot and label the point as A(___, ___ ).<br \/>\nTo find the location of the tugboat, start at your base, which is at the origin.<br \/>\nMove ___ units east, or right, and ___ \u00d7 __ = ___ units north, or up.<br \/>\nPlot the label the point as T(__, ___).<br \/>\nAnswer: Mov<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 19.<br \/>\nA guidebook describes how to get to various statues in Chicago, Illinois, from Willis Tower. Plot and label the location of each statue on the map.<br \/>\nDubuffet\u2019s Monument with Standing Beast: Walk 2 blocks east and 5 blocks north.<br \/>\n\u2022 Mir\u00f3\u2019s Sun, Moon, and One Star: Walk twice as many blocks east as you do to get to the Standing Beast, and 3 blocks north.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 10\" width=\"257\" height=\"243\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-10.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-10\" width=\"257\" height=\"243\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich statue is closer to Moon, and One Star, Cloud Gate or Flamingo? Explain.<\/p>\n<h3><a id=\"Plot_Points_in_a_Coordinate_Plane_Homework_&amp;_practice_12.1\"><\/a>Plot Points in a Coordinate Plane Homework &amp; practice 12.1<\/h3>\n<p>Use the coordinate plane to write the ordered pair corresponding to the point.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><\/p>\n<p>Question 1.<br \/>\nPoint E<br \/>\nAnswer: (5,7)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point E is <span style=\"text-decoration: underline;\">5 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_5_.<\/span><br \/>\nThe vertical distance from the origin to point E is <span style=\"text-decoration: underline;\">__7_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_7__.<\/span><br \/>\nThe ordered pair is _(5,7)_.<\/p>\n<p>Question 2.<br \/>\nPoint H<br \/>\nAnswer: (0,7)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point H is <span style=\"text-decoration: underline;\">0 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_0_.<\/span><br \/>\nThe vertical distance from the origin to point H is <span style=\"text-decoration: underline;\">__7_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_7__.<\/span><br \/>\nThe ordered pair is _(0,7)_.<\/p>\n<p>Question 3.<br \/>\nPoint F<br \/>\nAnswer: (3,3)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point F is <span style=\"text-decoration: underline;\">3 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_3_.<\/span><br \/>\nThe vertical distance from the origin to point F is <span style=\"text-decoration: underline;\">__3<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_3__.<\/span><br \/>\nThe ordered pair is _(3,3)_<\/p>\n<p>Question 4.<br \/>\nPoint J<br \/>\nAnswer: (1,0)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point J is <span style=\"text-decoration: underline;\">1 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_1_.<\/span><br \/>\nThe vertical distance from the origin to point J is <span style=\"text-decoration: underline;\">__0_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_0__.<\/span><br \/>\nThe ordered pair is _(1,0)_.<\/p>\n<p>Question 5.<br \/>\nPoint G<br \/>\nAnswer: (7,2)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point G is <span style=\"text-decoration: underline;\">7 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_7_.<\/span><br \/>\nThe vertical distance from the origin to point G is <span style=\"text-decoration: underline;\">__2_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_2__.<\/span><br \/>\nThe ordered pair is _(7,2)_.<\/p>\n<p>Question 6.<br \/>\nPoint K<br \/>\nAnswer: (8,5)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 11\" width=\"212\" height=\"201\" \/><br \/>\nThe horizontal distance from the origin to point K is <span style=\"text-decoration: underline;\">8 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_8_.<\/span><br \/>\nThe vertical distance from the origin to point K is <span style=\"text-decoration: underline;\">__5_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_5_.<\/span><br \/>\nThe ordered pair is _(8,5)_.<\/p>\n<p>Plot and label the point in the coordinate plane above.<\/p>\n<p>Question 7.<br \/>\nZ(8, 0)<br \/>\nAnswer: The Point can be labeled as (8,0)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-e-7\/\" rel=\"attachment wp-att-39286\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39286\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-7.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 E 7\" width=\"184\" height=\"184\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-7.png 184w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-7-150x150.png 150w\" sizes=\"(max-width: 184px) 100vw, 184px\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\">8\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 0 <\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(8,0)<\/p>\n<p>Question 8.<br \/>\nB(5, 5)<br \/>\nAnswer: The Point can be labeled as (5,5)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-e-8\/\" rel=\"attachment wp-att-39293\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39293\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-8.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 E 8\" width=\"209\" height=\"207\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-8.png 209w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-8-150x150.png 150w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\">5\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 5 <\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(5,5)<\/p>\n<p>Question 9.<br \/>\nM(1, 2)<br \/>\nAnswer: The Point can be labeled as (1,2)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-e-9\/\" rel=\"attachment wp-att-39294\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39294\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-E-9.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 E 9\" width=\"189\" height=\"200\" \/><\/a><br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\">1\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 2<\/span> units up then plot and label the point.<br \/>\nThe point can be labeled as Y,(1,2)<\/p>\n<p>Name the point for the ordered pair.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 12\" width=\"210\" height=\"205\" \/><\/p>\n<p>Question 10.<br \/>\n(5, 4)<br \/>\nAnswer: Q(5,2)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 12\" width=\"210\" height=\"205\" \/><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">5\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 4\u00a0<\/span>units up then label the point.<br \/>\nThe point can be Named as Q(5,4)<\/p>\n<p>Question 11.<br \/>\n(0, 8)<br \/>\nAnswer: P(0,8)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 12\" width=\"210\" height=\"205\" \/><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">0\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 8<\/span>units up then label the point.<br \/>\nThe point can be Named as P(0,8)<\/p>\n<p>Question 12.<br \/>\n(3, 1)<br \/>\nAnswer: N(5,2)<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15996\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 12\" width=\"210\" height=\"205\" \/><br \/>\nStart the Origin. Move <span style=\"text-decoration: underline;\">3\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 1 <\/span>units up then label the point.<br \/>\nThe point can be Named as N(3,1)<\/p>\n<p>Question 13.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nUse the coordinate plane above. Point T is 3 units from point M. Name two possible ordered pairs for point T.<br \/>\nAnswer: T(7,8), (7,0)&amp;(0,8)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-q13\/\" rel=\"attachment wp-att-39750\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-Q13.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 Q13\" width=\"229\" height=\"234\" \/><\/a><br \/>\nThe horizontal distance from the origin to point M is <span style=\"text-decoration: underline;\">4 <\/span>\u00a0units.<br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_4_.<\/span><br \/>\nThe vertical distance from the origin to point M is <span style=\"text-decoration: underline;\">_5_<\/span> units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_5_.<\/span><br \/>\nThe ordered pair is _(4,5)_.<br \/>\nPoint T is 3 units from point M<br \/>\nThe horizontal distance from\u00a0 point M is <span style=\"text-decoration: underline;\">4 <\/span>\u00a0units to add\u00a0<span style=\"text-decoration: underline;\">3\u00a0<\/span><br \/>\nSo, the x-coordinate is <span style=\"text-decoration: underline;\">_4+3=7_.<\/span><br \/>\nThe vertical distance from the point M is <span style=\"text-decoration: underline;\">5 <\/span>\u00a0units to add <span style=\"text-decoration: underline;\">3<\/span>\u00a0units.<br \/>\nSo, the y-coordinate is <span style=\"text-decoration: underline;\">_5+3=8_.<\/span><br \/>\nThe ordered pair is _(7,8)_.<br \/>\nThe two possible ordered pairs for point T is (0,7)&amp; (8,0).<\/p>\n<p>Question 14.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain why the order of the x- and y-coordinates is important when identifying or plotting points in a coordinate plane.<br \/>\nAnswer: Locations on the\u00a0coordinate plane\u00a0are described as ordered pairs. An ordered pair tells you the location of a point by relating the point&#8217;s location along the\u00a0<b>x<\/b>-axis (the first value of the ordered pair) and along the\u00a0<b>y<\/b>-axis (the second value of the ordered pair).<\/p>\n<p>Question 15.<br \/>\nTo get from the school to the arcade, you walk 4 blocks east and 3 blocks north. To get from the school to the skate park, your friend walks 2 blocks east and twice as many blocks north as you. Plot and label the locations of the arcade and the skate park.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15997\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-13.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 13\" width=\"236\" height=\"242\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich building is closer to the bus station, the library or the post office? Explain.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Multiply.<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15998\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-14.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 14\" width=\"136\" height=\"54\" \/><br \/>\nAnswer: 5\/3=1 2\/3<\/p>\n<p>Explanation: First Multiply with the whole number(1) with the denominator(4) then add numerator (4+1=5)<br \/>\nand denominator is same as original. i.e, 5\/4<br \/>\nthen same as next mixed fraction Multiply with the whole number(1) with the denominator(3) then add numerator (3+1=4)<br \/>\nand denominator is same as original. i.e, 4\/3<br \/>\nMultiply 5\/4*4\/3=20\/12<br \/>\nThis fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 20 and 12 using 4 i.e, 5\/3=1 2\/3<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15999\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-15.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 15\" width=\"144\" height=\"60\" \/><\/p>\n<p>Answer: 7\/2= 3 1\/2<\/p>\n<p>Explanation: First Multiply with the whole number(1) with the denominator(5) then add numerator (5+2=7)<br \/>\nand denominator is same as original. i.e, 7\/5<br \/>\nthen same as next mixed fraction Multiply with the whole number(2) with the denominator(2) then add numerator (4+1=5)<br \/>\nand denominator is same as original. i.e, 5\/2<br \/>\nMultiply 7\/5*5\/2=35\/10<br \/>\nThis fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 10 using 5 i.e, 7\/2=3 1\/2<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-16.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 16\" width=\"145\" height=\"57\" \/><\/p>\n<p>Answer: 527\/48=10 47\/48<\/p>\n<p>Explanation: First Multiply with the whole number(2) with the denominator(6) then add numerator (12+5=17)<br \/>\nand denominator is same as original. i.e, 17\/6<br \/>\nthen same as next mixed fraction Multiply with the whole number(3) with the denominator(8) then add numerator (24+7=31)<br \/>\nand denominator is same as original. i.e, 31\/8<br \/>\nMultiply 17\/6*31\/8= 527\/48.<br \/>\ntherefore we can write it as 10 47\/48.<\/p>\n<h3><a id=\"Lesson_12.2_Relate_Points_in_a_Coordinate_Plane\"><\/a>Lesson 12.2 Relate Points in a Coordinate Plane<\/h3>\n<p>Plot and label the points in the coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16001\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-17.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 17\" width=\"193\" height=\"137\" \/><br \/>\nDraw a line segment to connect each pair of points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16002\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 18\" width=\"242\" height=\"243\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18.png 242w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-150x150.png 150w\" sizes=\"(max-width: 242px) 100vw, 242px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16003\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-19.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 19\" width=\"200\" height=\"72\" \/><br \/>\nPlot and label more points that lie on the line segments you drew. What do you notice about the coordinates?<br \/>\nA and C<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-01\/\" rel=\"attachment wp-att-39796\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-01.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12-2 01\" width=\"221\" height=\"234\" \/><\/a><br \/>\nIn A and C line segment we observed that the y- Coordinate of A and C is same.<\/p>\n<p>B and G<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-0\/\" rel=\"attachment wp-att-39793\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-0.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12-2 0\" width=\"201\" height=\"215\" \/><\/a><br \/>\nIn B and G line segment we observed that the X- Coordinate of B and G is same.<br \/>\nD and E<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-03\/\" rel=\"attachment wp-att-39794\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-03.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12-2 03\" width=\"221\" height=\"222\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-03.png 221w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-03-150x150.png 150w\" sizes=\"(max-width: 221px) 100vw, 221px\" \/><\/a><br \/>\nIn D and E line segment we observed that the Y- Coordinate of D and E is same.<br \/>\nF and H<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-04\/\" rel=\"attachment wp-att-39795\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-04.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12-2 04\" width=\"230\" height=\"220\" \/><\/a><br \/>\nIn F and H line segment we observed that the X- Coordinate of F and H is same.<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nHow can you find the distance between each pair of points? Explain your reasoning.<\/p>\n<p><strong>Think and Grow: Relate Points in a Coordinate Plane<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nPoints on a horizontal line have the same-coordinates. Points on a vertical line have the same x-coordinates.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16004\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-20.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 20\" width=\"169\" height=\"163\" \/><br \/>\nYou can count units or use subtraction to find the distance between two points when they lie on the same horizontal line or vertical line.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind the distance between points G and H.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16005\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 21\" width=\"200\" height=\"205\" \/><br \/>\n<strong>One Way:<\/strong> Count units.<br \/>\n<strong>Step 1:<\/strong> Identify the locations of the points: Point G is located at (2, 3). Point H is located at (8, 3).<br \/>\n<strong>Step 2:<\/strong> Draw a line segment to connect the points.<br \/>\n<strong>Step 3:<\/strong> Count horizontal units: There are __ units between points G and H.<br \/>\nSo, the distance between points G and H is ___.<\/p>\n<p><strong>Another Way:<\/strong> Use subtraction<\/p>\n<p>Points G and H have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n8 &#8211; 2 = <span style=\"text-decoration: underline;\">_6__<\/span><br \/>\nSo, the distance between points G and H is <span style=\"text-decoration: underline;\">6<\/span>___.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the distance between the points in the coordinate plane above.<\/p>\n<p>Question 1.<br \/>\nE and F<br \/>\nAnswer: 4 Units<br \/>\nExplanation<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1a\/\" rel=\"attachment wp-att-39800\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1A.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -1A\" width=\"162\" height=\"173\" \/><\/a><br \/>\nPoints E and F have the same X-coordinates. They lie on a Vertical line. Subtract the Y-coordinates to find the distance.<br \/>\n5 &#8211; 1 = <span style=\"text-decoration: underline;\">__4_<\/span><br \/>\nSo, the distance between points E and F is <span style=\"text-decoration: underline;\">_4__<\/span> units<\/p>\n<p>Question 2.<br \/>\nP and Q<br \/>\nAnswer: 3 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1b\/\" rel=\"attachment wp-att-39801\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1B.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -1B\" width=\"159\" height=\"170\" \/><\/a><br \/>\nPoints P and Q have the same Y-coordinates. They lie on a Vertical line. Subtract the X-coordinates to find the distance.<br \/>\n3 &#8211; 0 = <span style=\"text-decoration: underline;\">__3_<\/span><br \/>\nSo, the distance between points P and Q is <span style=\"text-decoration: underline;\">_3__ <\/span>units.<\/p>\n<p>Question 3.<br \/>\nS and T<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1c\/\" rel=\"attachment wp-att-39802\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1C.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -1C\" width=\"163\" height=\"171\" \/><\/a><br \/>\nPoints S and T have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n7 &#8211; 0 = <span style=\"text-decoration: underline;\">__7_<\/span><br \/>\nSo, the distance between points S and T is <span style=\"text-decoration: underline;\">_7_<\/span> Units.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the distance between the points in the coordinate plane.<\/p>\n<p>Question 4.<br \/>\nE and F<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1-4\/\" rel=\"attachment wp-att-39833\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1-4.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -1 4\" width=\"181\" height=\"176\" \/><\/a><br \/>\nPoints E and F have the same X-coordinates. They lie on a Vertical line. Subtract the Y-coordinates to find the distance.<br \/>\n8 &#8211; 3 = <span style=\"text-decoration: underline;\">__5<\/span><br \/>\nSo, the distance between points E and F is <span style=\"text-decoration: underline;\">_5_<\/span> units<\/p>\n<p>Question 5.<br \/>\nJ and G<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1-4-b\/\" rel=\"attachment wp-att-39835\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1-4-B.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -1 4 B\" width=\"166\" height=\"173\" \/><\/a><br \/>\nPoints J and G have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n8 &#8211; 0 = <span style=\"text-decoration: underline;\">__8_<\/span><br \/>\nSo, the distance between points J and G is <span style=\"text-decoration: underline;\">_8_<\/span> Units.<\/p>\n<p>Question 6.<br \/>\nF and K<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-1-4-c\/\" rel=\"attachment wp-att-39836\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-39836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-1-4-C.png\" alt=\"\" width=\"184\" height=\"173\" \/><\/a><br \/>\nPoints F and K have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n8 &#8211; 5 = <span style=\"text-decoration: underline;\">__3_<\/span><br \/>\nSo, the distance between points F and K is <span style=\"text-decoration: underline;\">_3_<\/span> Units.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-16008\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-23.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 23\" width=\"207\" height=\"201\" \/><\/p>\n<p>Question 7.<br \/>\nWhich is longer, \\(\\overline{J M}\\) or \\(\\overline{H R}\\)?<\/p>\n<p>Find the distance between the points.<\/p>\n<p>Question 8.<br \/>\n(1, 7) and (7, 7)<br \/>\nAnswer: 6 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-08a\/\" rel=\"attachment wp-att-39838\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-39838\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-08A.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18 12-2 08A\" width=\"190\" height=\"195\" \/><\/a><br \/>\nLets take point A is (1,7) and Point B is (7,7)<br \/>\nPoints A and B have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n7 &#8211; 1 = <span style=\"text-decoration: underline;\">__6_<\/span><br \/>\nSo, the distance between points A and B is <span style=\"text-decoration: underline;\">_6_<\/span> Units.<\/p>\n<p>Question 9.<br \/>\n(0, 1) and (3, 1)<br \/>\nAnswer: 3 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-08b\/\" rel=\"attachment wp-att-39839\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-39839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-08B.png\" alt=\"\" width=\"183\" height=\"182\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-08B.png 183w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-08B-150x150.png 150w\" sizes=\"(max-width: 183px) 100vw, 183px\" \/><\/a><br \/>\nLets take point C is (0,1) and Point D is (3,1)<br \/>\nPoints C and D have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n3 &#8211; 0 = <span style=\"text-decoration: underline;\">__3_<\/span><br \/>\nSo, the distance between points C and D is <span style=\"text-decoration: underline;\">_3_<\/span> Units.<\/p>\n<p>Question 10.<br \/>\n(0, 0) and (6, 0)<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-18-12-2-08c\/\" rel=\"attachment wp-att-39840\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-39840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-18-12-2-08C.png\" alt=\"\" width=\"178\" height=\"197\" \/><\/a><br \/>\nLets take point E is (0,0) and Point F is (6,0)<br \/>\nPoints E and F have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n6 &#8211; 0 = <span style=\"text-decoration: underline;\">__6_<\/span><br \/>\nSo, the distance between points E and F is <span style=\"text-decoration: underline;\">_6_<\/span> Units.<\/p>\n<p>A line passes through the given points. Name two other points that lie on the line.<\/p>\n<p>Question 11.<br \/>\n(0, 6) and (5, 6)<br \/>\nAnswer: (1,6),(2,6),(3,6),(4,6)<br \/>\nExplanation:<br \/>\nLets take point A is (0,6) and Point B is (5,6)<br \/>\nPoints A and B have the same y-coordinates. They lie on a horizontal line.<br \/>\nSo the other points lie on the line are (1,6),(2,6),(3,6),(4,6)<\/p>\n<p>Question 12.<br \/>\n(4, 2) and (4, 8)<br \/>\nAnswer: (4,3),(4,4),(4,5),(4,6)<br \/>\nExplanation:<br \/>\nLets take point C is (4,2) and Point D is (4,8)<br \/>\nPoints C and D have the same X-coordinates. They lie on a Vertical line.<br \/>\nSo the other points lie on the line are (4,3),(4,4),(4,5),(4,6) etc<\/p>\n<p>Question 13.<br \/>\n(3, 3) and (3, 6)<br \/>\nAnswer: (3,4),(3,5)<br \/>\nExplanation:<br \/>\nLets take point E is (3,3) and Point F is (3,6)<br \/>\nPoints E and F have the same X-coordinates. They lie on a Vertical line.<br \/>\nSo the other points lie on the line are (3,4),(3,5)<\/p>\n<p>Question 14.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton plots the points (2, 7) and (6, 7) and connects them with a line segment. Descartes says that (10, 7) also lies on the line segment. Is he correct? Explain.<br \/>\nAnswer: Yes<br \/>\nExplanation:<br \/>\nPoints on a Vertical line have the same-coordinates. They lie on a horizontal line.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich pair of points does not lie on a line that is parallel to x-axis? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16007\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-23.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 23.1\" width=\"260\" height=\"90\" \/><br \/>\nAnswer:\u00a0 (1,2) and (1,6)<br \/>\nExplanation:<br \/>\nPoints on a Vertical line have the same-coordinates. They lie on a horizontal line. Except (1,2) and (1,6) , these two<br \/>\nPoints on a horizontal line have the same-coordinates. They lie on a Vertical line.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nAn archaeologist uses rope to section off a rectangular dig site. How many meters of rope does the archaeologist use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16009\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-24.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 24\" width=\"211\" height=\"188\" \/><br \/>\nTo find how many meters of rope the archaeologist uses, find the perimeter of the rectangular dig site.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16010\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-25.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 25\" width=\"308\" height=\"74\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-25.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-25-300x72.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16011\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-26.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 26\" width=\"305\" height=\"134\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-26.png 305w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-26-300x132.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><br \/>\nUse a formula to find the perimeter of the site.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16012\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-27.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 27\" width=\"387\" height=\"108\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-27.png 387w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-27-300x84.png 300w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><br \/>\nSo, the archaeologist uses __ meters of rope.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nThe owner of an animal shelter uses fencing to create a rectangular dog pen. How many yards of fencing does the owner use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16013\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-28.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 28\" width=\"212\" height=\"168\" \/><br \/>\nAnswer:<br \/>\nyards of fencing the owner use<br \/>\nTo find how many yards of fencing the owner use, to find the perimeter of the rectangular dog pen.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou run 5 laps around the edges of the volleyball court. How far do you run in feet? in yards?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16014\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-29.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 29\" width=\"264\" height=\"183\" \/><\/p>\n<p>Answer:<br \/>\n10 \u00d7 6 = 60 feet<br \/>\nConvert from foot to yards<br \/>\n1 feet = 0.33 yards<br \/>\n60 feet = 20 yards<\/p>\n<h3><a id=\"Relate_Points_in_a_Coordinate_Plane_Homework_&amp;_Practice_12.2\"><\/a>Relate Points in a Coordinate Plane Homework &amp; Practice 12.2<\/h3>\n<p>Find the distance between the points in the coordinate plane.<\/p>\n<p>Question 1.<br \/>\nP and M<br \/>\nAnswer: 6 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-a\/\" rel=\"attachment wp-att-40371\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40371\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-A.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21 12.2 -P1 A\" width=\"222\" height=\"239\" \/><\/a><br \/>\nPoints P and M have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n7 &#8211; 1 = <span style=\"text-decoration: underline;\">__6_<\/span><br \/>\nSo, the distance between points P and M is <span style=\"text-decoration: underline;\">_6_<\/span> Units.<\/p>\n<p>Question 2.<br \/>\nB and Z<br \/>\nAnswer: 3 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-b\/\" rel=\"attachment wp-att-40372\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40372\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-B.png\" alt=\"\" width=\"237\" height=\"233\" \/><\/a><br \/>\nPoints B and Z have the same X-coordinates. They lie on a Vertical line. Subtract the Y-coordinates to find the distance.<br \/>\n3 &#8211; 0 = <span style=\"text-decoration: underline;\">_0\u00a0<\/span><br \/>\nSo, the distance between points B and Z is <span style=\"text-decoration: underline;\">_0_<\/span> units<\/p>\n<p>Question 3.<br \/>\nK and T<br \/>\nAnswer: 5 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-c\/\" rel=\"attachment wp-att-40373\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-C.png\" alt=\"\" width=\"260\" height=\"252\" \/><\/a><br \/>\nPoints K and T have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n6 &#8211; 1 = <span style=\"text-decoration: underline;\">__5_<\/span><br \/>\nSo, the distance between points K and T is <span style=\"text-decoration: underline;\">_5_<\/span> Units.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-16015\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-30.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 30\" width=\"204\" height=\"208\" \/><\/p>\n<p>Question 4.<br \/>\nWhich is longer, \\(\\overline{C D}\\) or \\(\\overline{K P}\\)?<\/p>\n<p>Answer: \\(\\overline{C D}\\) longer than \\(\\overline{K P}\\)<\/p>\n<p>Find the distance between the points.<\/p>\n<p>Question 5.<br \/>\n(1, 5) and (6, 5)<br \/>\nAnswer: 5 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-d\/\" rel=\"attachment wp-att-40374\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40374\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-D.png\" alt=\"\" width=\"211\" height=\"226\" \/><\/a><br \/>\nLets take point A is (1,5) and Point B is (6,5)<br \/>\nPoints A and B have the same y-coordinates. They lie on a horizontal line. Subtract the x-coordinates to find the distance.<br \/>\n6 &#8211; 1 = <span style=\"text-decoration: underline;\">_5_<\/span><br \/>\nSo, the distance between points A and B is <span style=\"text-decoration: underline;\">_5_<\/span> Units.<\/p>\n<p>Question 6.<br \/>\n(3, 4) and (3, 6)<br \/>\nAnswer: 2 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-e\/\" rel=\"attachment wp-att-40375\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-E.png\" alt=\"\" width=\"210\" height=\"232\" \/><\/a><br \/>\nLets take point C is (3,4) and Point D is (3,6)<br \/>\nPoints C and D have the same X-coordinates. They lie on a Vertical line. Subtract the Y-coordinates to find the distance.<br \/>\n6 &#8211; 4 = <span style=\"text-decoration: underline;\">_2\u00a0<\/span><br \/>\nSo, the distance between points C and D is <span style=\"text-decoration: underline;\">_2_<\/span> Units.<\/p>\n<p>Question 7.<br \/>\n(0, 2) and (0, 9)<br \/>\nAnswer: 7 Units<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-21-12-2-p1-f\/\" rel=\"attachment wp-att-40376\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-21-12.2-P1-F.png\" alt=\"\" width=\"207\" height=\"211\" \/><\/a><br \/>\nLets take point E is (0,2) and Point F is (0,9)<br \/>\nPoints E and F have the same X-coordinates. They lie on a Vertical line. Subtract the Y-coordinates to find the distance.<br \/>\n9 &#8211; 2 = <span style=\"text-decoration: underline;\">_7\u00a0<\/span><br \/>\nSo, the distance between points E and F is <span style=\"text-decoration: underline;\">_7_<\/span> Units.<\/p>\n<p>A line passes through the given points. Name two other points that lie on the line.<\/p>\n<p>Question 8.<br \/>\n(6, 0) and (6, 7)<br \/>\nAnswer: (6,1),(6,2),6,3)<br \/>\nExplanation:<br \/>\nLets take point A is (6,0) and Point B is (6,7)<br \/>\nPoints A and B have the same X-coordinates. They lie on a Vertical line.<br \/>\nSo the other points lie on the line are (6,1),(6,2),(6,3)<\/p>\n<p>Question 9.<br \/>\n(5, 3) and (1, 3)<br \/>\nAnswer: (2,3),(3,3)(4,3)<br \/>\nExplanation:<br \/>\nLets take point C is (5,3) and Point D is (1,3)<br \/>\nPoints C and D have the same y-coordinates. They lie on a horizontal line.<br \/>\nSo the other points lie on the line are (2,3),(3,3)(4,3)<\/p>\n<p>Question 10.<br \/>\n(2, 2) and (2, 9)<br \/>\nAnswer: (2,3),(2,4),(2,5)<br \/>\nExplanation:<br \/>\nLets take point E is (2,2) and Point F is (2,9)<br \/>\nPoints E and F have the same X-coordinates. They lie on a Vertical line.<br \/>\nSo the other points lie on the line are (2,3),(2,4),(2,5)<\/p>\n<p>Question 11.<br \/>\n<strong>Structure<\/strong><br \/>\nName four different points that are 3 units away from (5, 4).<\/p>\n<p>Answer:<br \/>\nA distance of 5 units from the origin represents the hypotenuse of a right triangle with sides 3- 4 &#8211; 5<br \/>\nIf the x-coordinate is 4 then the y-coordinate is | 3 | = \u00b1 3<br \/>\nthe coordinates are (4, 3 ) and (4, &#8211; 3 )<\/p>\n<p>Question 12.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich point is farther from (3, 4)? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16016\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-31.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 31\" width=\"174\" height=\"36\" \/><\/p>\n<p>Answer: K(9, 4)<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA farmer builds a coop for his chickens. He uses poultry netting to enclose the coop. How many feet of netting does he use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16017\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-32.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 32\" width=\"215\" height=\"221\" \/><\/p>\n<p>Answer: 6 feet<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA giant chessboard is painted on the ground in a park. How many square yards of space does the chessboard occupy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16018\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-33.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 33\" width=\"223\" height=\"243\" \/><\/p>\n<p>Answer: 81 yards<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient. Then check your answer.<\/p>\n<p>Question 15.<br \/>\n23.6 \u00f7 4 = ___<\/p>\n<p>Answer:<br \/>\nDivide 23.6 by 4<br \/>\nWe get<br \/>\n23.6\/4 = 5.9<br \/>\nThus the quotient is 5.9<\/p>\n<p>Question 16.<br \/>\n36.9 \u00f7 3 = ___<\/p>\n<p>Answer:<br \/>\nDivide the two numbers 36.9 and 3.<br \/>\n36.9 \u00f7 3 = 12.3<\/p>\n<p>Question 17.<br \/>\n114.87 \u00f7 7 = ___<\/p>\n<p>Answer:<br \/>\nDivide the two numbers 114.87 and 7<br \/>\n114.87 \u00f7 7 = 16.41<\/p>\n<h3><a id=\"Lesson_12.3_Draw_polygons_in_a_Coordinate_Plane\"><\/a>Lesson 12.3 Draw polygons in a Coordinate Plane<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Plot and label three points in which two of the ordered pairs have the same x-coordinates and two of the ordered pairs have the same y-coordinates.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16019\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-34.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 34\" width=\"250\" height=\"239\" \/><br \/>\nThe points represent the vertices of a polygon. Describe the polygon.<\/p>\n<p><strong>Structure<\/strong><br \/>\nExplain how you can plot another point above to form a rectangle.<\/p>\n<p><strong>Think and Grow: Draw Polygons in a Coordinate Plane<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nYou can use ordered pairs to represent vertices of polygons. To draw a polygon in a coordinate plane, plot and connect the vertices.<br \/>\n<strong>Example<\/strong><br \/>\nThe vertices of a polygon are A (2, 2), B(3, 5), C(6, 6), and D(6, 2). Draw the polygon in a coordinate plane. Then identify it.<br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16021\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-35.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 35\" width=\"210\" height=\"203\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16059\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-352.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 352\" width=\"496\" height=\"228\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-352.png 496w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-352-300x138.png 300w\" sizes=\"(max-width: 496px) 100vw, 496px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Draw the polygon with the given vertices in a coordinate plane. Then identify it.<\/p>\n<p>Question 1.<br \/>\nJ(0, 8), K(4, 7), L(5, 0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16022\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-36.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 36\" width=\"202\" height=\"193\" \/><br \/>\nAnswer: Triangle<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1a\/\" rel=\"attachment wp-att-40394\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40394\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1A.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3-1A\" width=\"211\" height=\"213\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1A.png 211w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1A-150x150.png 150w\" sizes=\"(max-width: 211px) 100vw, 211px\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon J,K,L is a <span style=\"text-decoration: underline;\">Triangle.<\/span><\/p>\n<p>Question 2.<br \/>\nP(1, 4), Q(2, 7), R(6, 7), S(7, 4), T(4, 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16024\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-37.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 37\" width=\"200\" height=\"197\" \/><br \/>\nAnswer: Pentagon.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1b\/\" rel=\"attachment wp-att-40395\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40395\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1B.png\" alt=\"\" width=\"227\" height=\"213\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon P,Q,R,S,T is a <span style=\"text-decoration: underline;\">Pentagon.<\/span><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Draw the polygon with the given vertices in a coordinate plane. Then identify it.<\/p>\n<p>Question 3.<br \/>\nC(1, 6), D(4, 6), E(4, 1), F(1, 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16023\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-37.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 37.1\" width=\"177\" height=\"167\" \/><br \/>\nAnswer: Rectangle.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1d\/\" rel=\"attachment wp-att-40400\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40400\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1D.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3-1D\" width=\"289\" height=\"264\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon C,D,E,F is a <span style=\"text-decoration: underline;\">Rectangle.<\/span><\/p>\n<p>Question 4.<br \/>\nJ(2, 2), K(2, 4), L(4, 6), M(6, 4), N(6, 2), P(4, 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16025\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-38.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 38\" width=\"176\" height=\"163\" \/><br \/>\nAnswer: Hexagon.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1c\/\" rel=\"attachment wp-att-40396\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40396\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1C.png\" alt=\"\" width=\"202\" height=\"213\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon J,K,L,M,N,P is a <span style=\"text-decoration: underline;\">Hexagon.\u00a0<\/span><\/p>\n<p>Identify the polygon with the given vertices.<\/p>\n<p>Question 5.<br \/>\nA(2, 6), B(6, 2), C(3, 2)<br \/>\nAnswer: Triangle.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-5\/\" rel=\"attachment wp-att-40406\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-5.png\" alt=\"\" width=\"220\" height=\"217\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon A ,B , C is a\u00a0\u00a0<span style=\"text-decoration: underline;\">Tringle.<\/span><\/p>\n<p>Question 6.<br \/>\nG(0, 3), H(6, 3), I(4, 1), J(2, 1)<br \/>\nAnswer: Isosceles Trapezoid<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-6\/\" rel=\"attachment wp-att-40407\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-6.png\" alt=\"\" width=\"249\" height=\"213\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon G,H,I,J is a <span style=\"text-decoration: underline;\">Isosceles Trapezoid .<\/span><\/p>\n<p>Question 7.<br \/>\nP(1, 1), Q(1, 6), R(6, 6), S(6, 1)<br \/>\nAnswer: Square<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-7\/\" rel=\"attachment wp-att-40405\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-7.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3- 7\" width=\"225\" height=\"218\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon P, Q ,R, S is a <span style=\"text-decoration: underline;\">Rectangle.<\/span><\/p>\n<p>Question 8.<br \/>\nX(0, 0), Y(0, 7), Z(2, 0)<br \/>\nAnswer: Triangle.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-8\/\" rel=\"attachment wp-att-40408\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-8.png\" alt=\"\" width=\"239\" height=\"225\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon X ,Y, Z is a <span style=\"text-decoration: underline;\">Triangle.\u00a0<\/span><\/p>\n<p>Plot (6, 3), (6, 8), and (9, 3) in a coordinate plane. Plot another point to form the given quadrilateral. Name the point.<\/p>\n<p>Question 9.<br \/>\nrectangle<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-9\/\" rel=\"attachment wp-att-40463\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-9.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3-9\" width=\"204\" height=\"229\" \/><\/a><\/p>\n<p>Question 10.<br \/>\ntrapezoid<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-10\/\" rel=\"attachment wp-att-40465\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40465\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-10.png\" alt=\"\" width=\"215\" height=\"212\" \/><\/a><\/p>\n<p>Question 11.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite four ordered pairs that represent the vertices of a square<\/p>\n<p>Answer:<br \/>\n(2, 2), (4, 2), (2, 4), (4, 4)<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend draws the polygon shown. She names the polygon. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16026\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-39.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 39\" width=\"171\" height=\"157\" \/><\/p>\n<p>Answer:<br \/>\nNo your friend is incorrect because the given figure has 4 sides so it is a quadrilateral not a polygon.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou and a friend use computer software to create a symmetric company logo using a coordinate plane. Your friend completes one half of the logo as shown. Draw the other half. Then list the vertices of the logo.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16027\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-40.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 40\" width=\"199\" height=\"206\" \/><br \/>\n<strong>Step 1:<\/strong> Plot the vertices for the other half of the logo on the opposite side of the line of symmetry.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16028\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-41.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 41\" width=\"498\" height=\"40\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-41.png 498w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-41-300x24.png 300w\" sizes=\"(max-width: 498px) 100vw, 498px\" \/><\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-64928\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-40.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-40\" width=\"199\" height=\"206\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Draw the other half of the symmetric logo. Then list its vertices.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16029\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-42.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 42\" width=\"208\" height=\"198\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64930\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-42.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-42\" width=\"208\" height=\"198\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16030\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-43.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 43\" width=\"212\" height=\"198\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64931\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-43.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-43\" width=\"212\" height=\"198\" \/><\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOne half of the design for a symmetric flower garden is shown in the coordinate plane. The line of symmetry is represented by the walkway. Draw the other half of the design for the flower garden. Then list its vertices.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16031\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-44.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 12 Patterns in the Coordinate Plane 44\" width=\"190\" height=\"182\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64934\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-44.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-44\" width=\"190\" height=\"182\" \/><\/p>\n<h3><a id=\"Draw_polygons_in_a_Coordinate_Plane_Homework_&amp;_Practice_12.3\"><\/a>Draw polygons in a Coordinate Plane Homework &amp; Practice 12.3<\/h3>\n<p>Draw the polygon with the given vertices in a coordinate plane. Then identify it.<\/p>\n<p>Question 1.<br \/>\nA(2, 3), B(2, 6), C(5, 6), D(5, 3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15968\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-45.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 45\" width=\"210\" height=\"200\" \/><br \/>\nAnswer:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-a\/\" rel=\"attachment wp-att-40470\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3-1 A\" width=\"219\" height=\"227\" \/><\/a><\/p>\n<p><strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon A, B, C, D is a <span style=\"text-decoration: underline;\">Trapezoid..<\/span><\/p>\n<p>Question 2.<br \/>\nJ(3, 2), K(3, 5), L(6, 5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15969\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-46.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 46\" width=\"211\" height=\"192\" \/><br \/>\nAnswer: Triangle<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-b\/\" rel=\"attachment wp-att-40471\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-B.png\" alt=\"\" width=\"251\" height=\"220\" \/><\/a><br \/>\n<strong>Step 1:<\/strong> Plot and label the vertices.<br \/>\n<strong>Step 2:<\/strong> Draw line segments to connect the points. Be sure to connect the points in order to draw the polygon.<br \/>\nPolygon J, K, L is a\u00a0<span style=\"text-decoration: underline;\">Triangle.<\/span><\/p>\n<p>Identify the polygon with the given vertices.<\/p>\n<p>Question 3.<br \/>\nM(2, 6), N(4, 4), P(4, 0), Q(2, 2)<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-a3\/\" rel=\"attachment wp-att-40480\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-40480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A3.png\" alt=\"Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6 12.3-1 A3\" width=\"223\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A3.png 223w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A3-150x150.png 150w\" sizes=\"(max-width: 223px) 100vw, 223px\" \/><\/a><\/p>\n<p>Question 4.<br \/>\nA(1, 2), B(1, 6), C(4, 6), D(6, 4), E(4, 2)<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-a4\/\" rel=\"attachment wp-att-40481\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A4.png\" alt=\"\" width=\"214\" height=\"229\" \/><\/a><\/p>\n<p>Question 5.<br \/>\nP(4, 1), Q(0, 1), R(1, 4), S(5, 5)<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-a5\/\" rel=\"attachment wp-att-40482\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A5.png\" alt=\"\" width=\"228\" height=\"214\" \/><\/a><\/p>\n<p>Question 6.<br \/>\nE(1, 2), F(1, 3), G(6, 3), H(6, 2)<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-solutions-grade-5-chapter-12-patterns-in-the-coordinate-plane-6-12-3-1-a6\/\" rel=\"attachment wp-att-40483\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-40483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-6-12.3-1-A6.png\" alt=\"\" width=\"214\" height=\"225\" \/><\/a><\/p>\n<p>Plot (1, 2), (4, 2), and (3, 4) in a coordinate plane. Plot another point to form the given quadrilateral. Name the point.<\/p>\n<p>Question 7.<br \/>\ntrapezoid<\/p>\n<p>Question 8.<br \/>\nparallelogram<\/p>\n<p>Question 9.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite the coordinates of the vertices of a rectangle that has a perimeter of 12 units and an area of 5 square units.<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nFive ordered pairs represent the vertices of a polygon. Will the polygon always be a pentagon?<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nDraw the other half of the symmetric logo. Then list its vertices.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-47.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 47\" width=\"179\" height=\"125\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou complete one fourth of an image with graphic design software. The computer generates the rest of the image with the two lines of symmetry. Draw the rest of the image.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15971\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-48.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 48\" width=\"164\" height=\"161\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Estimate the sum or difference.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15972\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-49.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 49\" width=\"72\" height=\"45\" \/><br \/>\nAnswer: 1\/4<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15973\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-50.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 50\" width=\"69\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\n77\/80<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15974\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-51.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 51\" width=\"74\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\n= 3\/40<\/p>\n<h3><a id=\"Lesson_12.4_Graph_Data\"><\/a>Lesson 12.4 Graph Data<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>The table shows the amount of snow that falls each day for 7 days. Show how you can use ordered pairs in the coordinate plane to represent this information. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15975\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-52.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 52\" width=\"543\" height=\"152\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-52.png 543w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-52-300x84.png 300w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><br \/>\nWhat conclusions can you make from your data display?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15976\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-53.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 53\" width=\"243\" height=\"242\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-53.png 243w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-53-150x150.png 150w\" sizes=\"(max-width: 243px) 100vw, 243px\" \/><br \/>\nAnswer:(1,2), (2,4), (3,6),(4,6),(,5,8),(6,10),(7,14)<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-grade-5-chapter-12-patterns-in-the-coordinate-plane-59-12-4-00-a\/\" rel=\"attachment wp-att-42562\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-42562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.00-A.png\" alt=\"Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59 12.4.00 A\" width=\"265\" height=\"282\" \/><\/a><br \/>\nLets take A(1,2), B(2,4), C(3,6), D(4,6), E(,5,8), F(6,10), G(7,14)<br \/>\nThe horizontal distance from the origin to points A.B.C.D.E.F.G.H\u00a0 are <span style=\"text-decoration: underline;\">1,2,3,4,5,6,7<\/span>_ units respectively. So, the x-coordinates are <span style=\"text-decoration: underline;\">1,2,3,4,5,6,7<\/span> .<br \/>\nThe vertical distance from the origin to points\u00a0 A.B.C.D.E.F.G.H are<span style=\"text-decoration: underline;\"> 2,4,6,6,8,10,14 _<\/span> units. So, the y-coordinate are __<span style=\"text-decoration: underline;\">2,4,6,6,8,10,14<\/span>_. The ordered pair is <span style=\"text-decoration: underline;\">_A(1,2), B(2,4), C(3,6), D(4,6), E(,5,8), F(6,10), G(7,14)<\/span>_.<br \/>\n<strong>Reasoning<\/strong><br \/>\nOn Day 8, 1 inch of snow falls. How can you represent this information in the coordinate plane?<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-grade-5-chapter-12-patterns-in-the-coordinate-plane-59-12-4-00-a1-2\/\" rel=\"attachment wp-att-42564\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-42564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.00-A1-1-300x238.png\" alt=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.00-A1-1.png\" width=\"300\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.00-A1-1-300x238.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.00-A1-1.png 346w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Answer: (8,16)<br \/>\nExplanation:<br \/>\nStart the Origin. Move\u00a0<span style=\"text-decoration: underline;\"> 8\u00a0<\/span> Units right and\u00a0<span style=\"text-decoration: underline;\"> 16 <\/span>units up. label the point.<br \/>\nThe point can be labeled as H,(8,16).<\/p>\n<p><strong>Think and Grow: Graph Data<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nData are values collected from observations or measurements. You can use a coordinate plane to graph and interpret two categories of related data.<br \/>\n<strong>Example<\/strong><br \/>\nThe table shows how many gold bars you collect at each level of a video game. Graph the data in a coordinate plane. In how many levels do you collect more than 30 gold bars?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15977\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-54.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 54\" width=\"299\" height=\"100\" \/><br \/>\n<strong>Step 1:<\/strong> Write the ordered pairs from the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15978\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-55.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 55\" width=\"201\" height=\"263\" \/><br \/>\n<strong>Step 2:<\/strong> For each axis, choose appropriate numbers to represent the data in the table.<br \/>\n<strong>Step 3:<\/strong> Write a title for the graph and label each axis.<br \/>\n<strong>Step 4:<\/strong> Plot a point for each ordered pair.<br \/>\nThree points are above the grid line that represents 30 bars. So, you collect more than 30 gold bars in __ levels.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nThe table shows the water levels of a portion of a river during a flood. Graph the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15980\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-57.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 57\" width=\"598\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-57.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-57-300x153.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><br \/>\nWhat does the point (5, 7) represent?<br \/>\nAnswer: In 5 hours time span 7 feet water level during flood.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-grade-5-chapter-12-patterns-in-the-coordinate-plane-59-12-4-1a\/\" rel=\"attachment wp-att-42544\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-42544\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.1A.png\" alt=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.1A.png\" width=\"239\" height=\"297\" \/><\/a><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 2.<br \/>\nThe table shows how many cars a salesman sells in each of 6 months. Graph the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15981\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-58.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 58\" width=\"302\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-58.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-58-300x78.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nWhat does the point (1, 7) represent?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15982\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 59\" width=\"199\" height=\"296\" \/><br \/>\nWhat is the difference of the greatest number of cars sold and the least number of cars sold? Explain.<\/p>\n<p>Use the graph.<br \/>\nAnswer: in month of span salesman sells 7 cars.<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-grade-5-chapter-12-patterns-in-the-coordinate-plane-59-12-4-2a\/\" rel=\"attachment wp-att-42547\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-42547\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.2A-218x300.png\" alt=\"Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59 12.4.2A\" width=\"218\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.2A-218x300.png 218w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.2A.png 256w\" sizes=\"(max-width: 218px) 100vw, 218px\" \/><\/a><\/p>\n<p>Question 3.<br \/>\nThe graph shows how many receiving yards a football player has in each of seven games. How many receiving yards does he have in Game 3?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15983\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-60.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 60\" width=\"257\" height=\"297\" \/><br \/>\nHow many times as many receiving yards does he have in Game 4 as in Game 2?<br \/>\nIn how many games does he have more than 40 receiving yards?<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\nIn each game receiving yards are lets label it as A,B,C,D,E,F,G.<br \/>\nA(1,30), B(2,20), C(3,50), D(4,80), E(5,60), F(6,40), G(7,100).<br \/>\nreceiving yards a football player has in each of game 30,20,50,80,60,40,100.<br \/>\nIn Game 3Receiving yards are 50<br \/>\nSo, the distance between points Game 4 and game 2 is 80-60=60<br \/>\n60 times as many receiving yards does he have in Game 4 as in Game 2.<br \/>\nThere are 4 games more than 40 receiving yards.<\/p>\n<p>Question 4.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe player has 75 receiving yards in Game 8. The player has \\(\\frac{1}{5}\\) of this number of receiving yards in Game 9. Graph the data in the coordinate plane above.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe table shows the ages of eight students and the time they spend on the Internet for 1 week. Graph the data. Of the students who spend more than 15 hours on the Internet, how many are older than 10?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15984\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-61.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 61\" width=\"242\" height=\"156\" \/><br \/>\n<strong>Step 1:<\/strong> Write the ordered pairs from the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15985\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-62.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 62\" width=\"239\" height=\"50\" \/><br \/>\n<strong>Step 2:<\/strong> For each axis, choose appropriate numbers to represent the data in the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15986\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-63.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane 63\" width=\"213\" height=\"238\" \/><br \/>\n<strong>Step 3:<\/strong> Write a title for the graph and label each axis.<br \/>\n<strong>Step 4:<\/strong> Plot a point for each ordered pair.<br \/>\nFive points are above the grid line that represents points represents 15 hours. Of those, ___ points represents students older than 10.<br \/>\nSo, __ students older than 10 spend more than 15 hours on the Internet.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 5.<br \/>\nThe table show much five students sleep the night before a quiz and their quiz scores. Graph the data. Of the students who sleep more than 7 hours, how many score higher than 8 points?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15939\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-64.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 64\" width=\"291\" height=\"106\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15940\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-65.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 65\" width=\"266\" height=\"282\" \/><br \/>\nAnswer:<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-grade-5-chapter-12-patterns-in-the-coordinate-plane-59-12-4-5a\/\" rel=\"attachment wp-att-43279\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-43279\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.5A.png\" alt=\"Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59 12.4.5A\" width=\"221\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.5A.png 221w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-59-12.4.5A-150x150.png 150w\" sizes=\"(max-width: 221px) 100vw, 221px\" \/><\/a><br \/>\nThe students who sleep more than 7 hours are 3(B,C,D)<br \/>\n3 members score higher than 8 points<\/p>\n<h3><a id=\"Graph_Data_Homework_&amp;_Practice_12.4\"><\/a>Graph Data Homework &amp; Practice 12.4<\/h3>\n<p>Question 1.<br \/>\nThe table shows how many students are in a choir club in each of 6 years. Graph the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15941\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-66.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 66\" width=\"295\" height=\"77\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15942\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 67\" width=\"211\" height=\"219\" \/><br \/>\nWhat does the point (2, 20) represent?<\/p>\n<p>What is the difference of the greatest number of students and least number of students? Explain.<br \/>\nAnswer: In 2 years 20 students are joined in a choir club<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-5th-grade-chapter-12-patterns-in-the-coordinate-plane-67-12-4-paractice1-a\/\" rel=\"attachment wp-att-43433\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-43433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67-12.4.Paractice1-A.png\" alt=\"Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67 12.4.Paractice1 A\" width=\"245\" height=\"259\" \/><\/a><br \/>\nWhat is the difference of the greatest number of students and least number of students<br \/>\nGrates number of students joined in the year of 6th that is 35 members<br \/>\nleast number of students joined in the year of 1st that is 15 members<br \/>\nThe difference of the greatest number(6,65) of students and least number of students(1,15) is 35-15=20<\/p>\n<p>Use the graph.<\/p>\n<p>Question 2.<br \/>\nThe graph shows how many students earn an A on each of seven tests. How many students earn an A on Test 4?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15943\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-68.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 68\" width=\"215\" height=\"295\" \/><br \/>\nHow many times as many students earn an A on Test 6 as on Test 2?<br \/>\nOn how many tests do fewer than 20 students earn an A? more than 20 students?<\/p>\n<p>Answer: students earn an A on Test 4 is 18 students<br \/>\nstudents earn an A on Test 6 as on Test 2 is 10<br \/>\n5 students\u00a0 are fewer than 20students earn an A<br \/>\n1 test only More than 20 students earn A.<\/p>\n<p>Question 3.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nTwenty-five students take Test 1. How many students do not earn an A on the test?<br \/>\nAnswer:<br \/>\n25 &#8211; 12 = 13<\/p>\n<p>Question 4.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe table shows the ages of five students and how many baby teeth each of them has lost. Graph the data. Of the students who are older than 10 years, how many lost more than 18 baby teeth?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15944\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-69.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 69\" width=\"305\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-69.png 305w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-69-300x97.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15945\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-70.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 70\" width=\"313\" height=\"281\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-70.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-70-300x269.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\nAnswer:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-5th-grade-chapter-12-patterns-in-the-coordinate-plane-67-12-4-paractice4-aaa\/\" rel=\"attachment wp-att-43503\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-43503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67-12.4.Paractice4-AAA.png\" alt=\"Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67 12.4.Paractice4 AAA\" width=\"238\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67-12.4.Paractice4-AAA.png 238w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-67-12.4.Paractice4-AAA-150x150.png 150w\" sizes=\"(max-width: 238px) 100vw, 238px\" \/><\/a><br \/>\nBaby teeth lost from each team A,B ,C,D.E respectively 18,20,18,14,20<br \/>\nB,C,E are older than 10 years<br \/>\n2 (B&amp;E) students are lost more than 18 baby teeth.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient. Then check your answer.<\/p>\n<p>Question 5.<br \/>\n5 \u00f7 0.8 = ___<\/p>\n<p>Answer:<br \/>\nDivide two numbers 5 and 0.8<br \/>\n5 \u00f7 0.8 = 6.25<\/p>\n<p>Question 6.<br \/>\n91.2 \u00f7 15 = __<\/p>\n<p>Answer:<br \/>\nDivide two numbers 91.2 and 15<br \/>\n91.2 \u00f7 15 = 6.08<\/p>\n<p>Question 7.<br \/>\n14.4 \u00f7 3.2 = ___<\/p>\n<p>Answer:<br \/>\nDivide two numbers 14.4 and 3.2<br \/>\n14.4 \u00f7 3.2 = 4.5<\/p>\n<h3><a id=\"Lesson_12.5_Make_and_Interpret_Line_Graphs\"><\/a>Lesson 12.5 Make and Interpret Line Graphs<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>The table shows the heights of a bamboo plant over several days. Show how you can use a coordinate plane to represent this information. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15946\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-71.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 71\" width=\"127\" height=\"168\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15947\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-72.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 72\" width=\"306\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-72.png 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-72-300x81.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nHow can you use your graph to estimate the height of the plant on Day 4? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15948\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-73.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 73\" width=\"276\" height=\"266\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhat could the height of the bamboo plant be on Day 10? Explain your reasoning.<\/p>\n<p>Answer 42 on day 10<\/p>\n<p><strong>Think and Grow: Make and Interpret Line Graphs<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nA line graph is a graph that uses line segments to show how data values change over time.<br \/>\n<strong>Example<\/strong><br \/>\nThe table shows the weights of a dog over 6 months. Make a line graph of the data. Between which two months of age does the dog gain the most weight?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15949\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-74.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 74\" width=\"347\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-74.png 347w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-74-300x59.png 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><br \/>\n<strong>Step 1:<\/strong> Write the ordered pairs from the table.<br \/>\n(1, 10), (2, 20), (3, 30), (4, 50), (5, 55), (6, 58)<br \/>\n<strong>Step 2:<\/strong> For each axis, choose appropriate numbers to represent the data in the table.<br \/>\n<strong>Step 3:<\/strong> Write a title for the graph and label each axis.<br \/>\n<strong>Step 4:<\/strong> Plot a point for each ordered pair. Then connect the points with line segments.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15950\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 75\" width=\"213\" height=\"315\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75.png 213w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75-203x300.png 203w\" sizes=\"(max-width: 213px) 100vw, 213px\" \/><br \/>\nThe greatest difference in weights occurs between the points (___, ___ ) and (___, ___ ).<br \/>\nSo, the dog gains the most weight between ___ and ___ months of age.<br \/>\nAnswer: 3&amp;4 months age<br \/>\nExplanation:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-5th-grade-chapter-12-patterns-in-the-coordinate-plane-75-12-5-ka\/\" rel=\"attachment wp-att-45448\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-45448\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75-12.5-KA-240x300.png\" alt=\"Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75 12.5 KA\" width=\"240\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75-12.5-KA-240x300.png 240w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75-12.5-KA.png 274w\" sizes=\"(max-width: 240px) 100vw, 240px\" \/><\/a><br \/>\nThe greatest difference in weights occurs between the points (_<span style=\"text-decoration: underline;\">3<\/span>__, <span style=\"text-decoration: underline;\">__30_<\/span> ) and <span style=\"text-decoration: underline;\">(__4_, __50_<\/span> ).<br \/>\nSo, the dog gains the most weight between <span style=\"text-decoration: underline;\">__3_<\/span> and <span style=\"text-decoration: underline;\">_4__<\/span> months of age.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Use the graph above.<\/p>\n<p>Question 1.<br \/>\nBetween which two months of age does the dog gain the least amount of weight? Explain.<br \/>\nAnswer: 55 &amp; 58<br \/>\nExplanation:<br \/>\nThe Least difference in weights occurs between the points (<span style=\"text-decoration: underline;\">5<\/span>__, <span style=\"text-decoration: underline;\">__55_<\/span> ) and (__<span style=\"text-decoration: underline;\">6<\/span>_,\u00a0 _<span style=\"text-decoration: underline;\">58<\/span>_ ).<br \/>\nSo, the dog gains the least amount of weight <span style=\"text-decoration: underline;\">__5<\/span> and <span style=\"text-decoration: underline;\">_6_<\/span> months of age.<\/p>\n<p>Question 2.<br \/>\nHow much do you think the dog weighs when it is 7 months of age? Explain your reasoning.<br \/>\nAnswer: 60<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use the graph.<\/p>\n<p>Question 3.<br \/>\nThe table shows the height of a seedling over 7 days. Make a line graph of the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15951\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-76.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 76\" width=\"386\" height=\"91\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-76.png 386w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-76-300x71.png 300w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><br \/>\nBetween which two days did the seedling grow the most? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15952\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-77.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 77\" width=\"239\" height=\"336\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-77.png 239w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-77-213x300.png 213w\" sizes=\"(max-width: 239px) 100vw, 239px\" \/><br \/>\nHow tall do you think the seedling will be after 8 days? Explain.<br \/>\nAnswer: 3&amp; 4 days,<br \/>\nExplanation<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/big-ideas-math-answers-5th-grade-chapter-12-patterns-in-the-coordinate-plane-75-12-5-3-a\/\" rel=\"attachment wp-att-45467\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-45467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75-12.5-3-A.png\" alt=\"Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-75 12.5-3 A\" width=\"193\" height=\"259\" \/><\/a><br \/>\nThe greatest difference in seedling grow occurs between the points (_<span style=\"text-decoration: underline;\">3<\/span>__, <span style=\"text-decoration: underline;\">__8_<\/span> ) and <span style=\"text-decoration: underline;\">(__4_, _18_<\/span> ).<br \/>\nSo, the Seeding grow between <span style=\"text-decoration: underline;\">__3_<\/span> and <span style=\"text-decoration: underline;\">_4__<\/span> days.<br \/>\nAfter 8 days Seeding may decrease.<\/p>\n<p>Question 4.<br \/>\n<strong>Reasoning<\/strong><br \/>\nInterpret the point (0, 0) in the context of the situation.<\/p>\n<p>Use the graph.<\/p>\n<p>Question 5.<br \/>\nThe graph shows the total numbers of likes a social media page has over 8 days. How many likes does the page have after 4 days?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15953\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-78.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 78\" width=\"246\" height=\"314\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-78.png 246w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-78-235x300.png 235w\" sizes=\"(max-width: 246px) 100vw, 246px\" \/><br \/>\nWhat is the difference of likes on Day 7 and Day 3?<br \/>\nAnswer: After 4 days Social media likes are<span style=\"text-decoration: underline;\"> 225<\/span>.<br \/>\nDifference between 7th day Social media likes and 3rd day Social media likes are=175.<br \/>\nExplanation:<br \/>\nGiven that 8th day Social media likes are 300<br \/>\n4th day Social media likes are 75<br \/>\nDifference between 8th day Social media likes and 4th day Social media likes =300-75=225<br \/>\nAfter 4 days Social media likes are<span style=\"text-decoration: underline;\"> 225<\/span>.<br \/>\nGiven that 7th day Social media likes are 225<br \/>\n3rd day Social media likes are 50<br \/>\nDifference between 7th day Social media likes and 3rd day Social media likes are =225-50=<span style=\"text-decoration: underline;\">175<\/span>.<\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou track the likes between Days 7 and 8 by each hour. Does the total number of likes at every hour fall between 225 and 300? Explain.<br \/>\nAnswer: Yes:<br \/>\nExplanation:<br \/>\nThe graph shows between 7th and 8th day the social media likes are increased 225 to 300.<br \/>\nSo, the total number of likes at every hour fall between 225 and 300.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe table shows your heart rate during an exercise routine. Make a line graph of the data. Use the graph to estimate your heart rate after exercising for 15 minutes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15954\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-80.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 80\" width=\"160\" height=\"200\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15956\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 81\" width=\"447\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81.png 447w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81-300x51.png 300w\" sizes=\"(max-width: 447px) 100vw, 447px\" \/><br \/>\n<strong>Step 1:<\/strong> Write the ordered pairs from the table.<br \/>\n(0, 80), (10, 110), (20, 140), (30, 148), (35, 135)<br \/>\n<strong>Step 2:<\/strong> For each axis, choose appropriate numbers to represent the data in the table. You can show a break in the vertical axis between 0 and 80 because there are no data values between 0 and 80.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15955\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81.1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 81.1\" width=\"244\" height=\"242\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81.1.png 244w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-81.1-150x150.png 150w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><br \/>\n<strong>Step 3:<\/strong> Write a title for the graph and label each axis.<br \/>\n<strong>Step 4:<\/strong> Plot a point for each ordered pair. Then connect the points with line segments. Use the line segment that connects (10, 110) and (20, 140) to estimate your heart rate after exercising for 15 minutes.<br \/>\nAfter exercising for 15 minutes, your heart rate is about __ beats per minute.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 7.<br \/>\nThe table shows how many views a video has over several hours. Make a line graph of the data. Use the graph to estimate the total number of views the video has after 2 hours.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15957\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-82.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 82\" width=\"339\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-82.png 339w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-82-300x74.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15958\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-83.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 83\" width=\"248\" height=\"266\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64941\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-83.jpg\" alt=\"Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-83\" width=\"248\" height=\"266\" \/><\/p>\n<h3><a id=\"Make_and_Interpret_Line_Graphs_Homework_&amp;_Practice_12.5\"><\/a>Make and Interpret Line Graphs Homework &amp; Practice 12.5<\/h3>\n<p><strong>Example<\/strong><br \/>\nThe table shows the temperatures of a city over several hours during a snowstorm. Make a line graph of the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15959\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-84.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 84\" width=\"351\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-84.png 351w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-84-300x97.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><br \/>\nBetween which two hours does the temperature decrease the most? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15960\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-85.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 85\" width=\"223\" height=\"300\" \/><br \/>\nThe greatest difference in temperatures occurs between the points (2, 28) and (3, 24). So, the temperature decreases the most between Hours 2 and 3.<br \/>\nEstimate the temperature at 4 hours and 30 minutes.<br \/>\n23 degrees Fahrenheit<\/p>\n<p>Question 1.<br \/>\nThe table shows the total number of pieces of beach glass you find during an hour at the beach. Make a line graph of the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15961\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-86.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 86\" width=\"358\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-86.png 358w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-86-300x65.png 300w\" sizes=\"(max-width: 358px) 100vw, 358px\" \/><br \/>\nBetween which two times did you find the most pieces of beach glass? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15962\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-87.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 87\" width=\"203\" height=\"217\" \/><br \/>\nEstimate how many pieces you had after 25 minutes.<\/p>\n<p>Use the graph.<\/p>\n<p>Question 2.<br \/>\nThe graph shows the total amounts of money your class raises over 8 days. How much money does your class raise after 6 days?<br \/>\nHow much money does your class raise between Days 2 and 7?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15880\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-88.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 88\" width=\"253\" height=\"316\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-88.png 253w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-88-240x300.png 240w\" sizes=\"(max-width: 253px) 100vw, 253px\" \/><\/p>\n<p>Answer:<br \/>\n120 &#8211; 30 = 90<\/p>\n<p>Question 3.<br \/>\n<strong>Logic<\/strong><br \/>\nYour friend says that your class raises $115 after 9 days. Explain why your friend\u2019s statement does not make sense.<\/p>\n<p>Answer Your friend&#8217;s statement makes sense.<\/p>\n<p>Use the graph.<\/p>\n<p>Question 4.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe table shows a bald eagle\u2019s heights above the ground after several seconds. Make a line graph of the data. Use the graph to estimate the eagle\u2019s height above the ground after 6 seconds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15881\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-89.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 89\" width=\"340\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-89.png 340w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-89-300x86.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15882\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-90.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 90\" width=\"250\" height=\"239\" \/><\/p>\n<p>Question 5.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe eagle flies past her nest, which is 120 feet above the ground. After how many seconds do you think the eagle flies past her nest? Explain.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15883\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-91.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 91\" width=\"119\" height=\"51\" \/><\/p>\n<p>Answer: 8<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15963\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-92.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 92\" width=\"117\" height=\"57\" \/><\/p>\n<p>Answer: 12<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15964\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-12-Patterns-in-the-Coordinate-Plane-93.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 12 Patterns in the Coordinate Plane 93\" width=\"124\" height=\"61\" \/><\/p>\n<p>Answer: 50<\/p>\n<h3><a id=\"Lesson_12.6_Numerical_Paterns\"><\/a>Lesson 12.6 Numerical Paterns<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Newton saves $10 each month. Descartes saves $30 each month. Complete each table. What patterns do you notice?<br \/>\n<strong>Newton:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15884\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 94\" width=\"464\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94.png 464w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94-300x55.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-64945\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94-300x55.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94\" width=\"300\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94-300x55.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-94.jpg 464w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<strong>Descartes:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 95\" width=\"467\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95.png 467w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95-300x50.png 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-64946\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95-300x50.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95\" width=\"300\" height=\"50\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95-300x50.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-95.jpg 467w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nHow much will Newton have saved when Descartes has saved $300? Explain your reasoning.<\/p>\n<p>Answer: 10 months<\/p>\n<p><strong>Think and Grow: Numerical Paterns<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou use 2 pounds of beef to make a batch of empanadas. Each batch makes eight servings. Complete the rule that relates the number of servings to the number of pounds of beef.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15886\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-96.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 96\" width=\"205\" height=\"132\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15888\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-97.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 97\" width=\"389\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-97.png 389w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-97-300x78.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><br \/>\n<strong>Step 1:<\/strong> Create each pattern and complete the table.<br \/>\nUse the rule \u201cAdd __\u201d to find the number of pounds of beef.<br \/>\n0, 2, 4, ___, ___, ___<br \/>\nUse the rule \u201cAdd __\u201d to find the number of servings.<br \/>\n0, 8, 16, ___, ___, ___<br \/>\n<strong>Step 2:<\/strong> Write ordered pairs that relate the number of servings to the number of pounds of beef.<br \/>\n(0, 0), (8, 2), (16, 4), ___, ___, ___<br \/>\n<strong>Step 3:<\/strong> Write a rule. As you make each batch, the number of pounds of beef is always __ as much as the number of servings.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15887\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-97.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 97.1\" width=\"180\" height=\"242\" \/><br \/>\nSo, divide the number of servings by __ to find the number of pounds of beef.<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Create each pattern and complete the table.<br \/>\nUse the rule \u201cAdd __\u201d to find the number of pounds of beef.<br \/>\n0, 2, 4, 6, 8, 10<br \/>\nUse the rule \u201cAdd __\u201d to find the number of servings.<br \/>\n0, 8, 16, 24, 32, 40<br \/>\n<strong>Step 2:<\/strong> Write ordered pairs that relate the number of servings to the number of pounds of beef.<br \/>\n(0, 0), (8, 2), (16, 4), (24, 6), (32, 8), (40, 10)<br \/>\n<strong>Step 3:<\/strong> Write a rule. As you make each batch, the number of pounds of beef is always __ as much as the number of servings.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the given rules to complete the table. Then complete the rule that relates the number of hours worked to the amount earned.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 98\" width=\"470\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98.png 470w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98-300x70.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><br \/>\nMultiply the number of hours worked by __ to find the amount earned.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98-1-300x70.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98 (1)\" width=\"300\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98-1-300x70.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-98-1.jpg 470w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nMultiply the number of hours worked by 8 to find the amount earned.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use the given rules to complete the table. Then complete the rule.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15890\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 99\" width=\"510\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99-300x64.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><br \/>\nDivide the number of cups of water __ by to find the number of cups of lemon juice.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66086\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99-300x64.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99\" width=\"300\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99-300x64.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-99.jpg 510w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nDivide the number of cups of water 7 by to find the number of cups of lemon juice.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15891\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 100\" width=\"433\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100.png 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100-300x71.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><br \/>\nMultiply the number of push-ups by __ to find the number of sit-ups.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66087\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100-300x71.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100\" width=\"300\" height=\"71\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-100.jpg 433w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nMultiply the number of push-ups by 2 to find the number of sit-ups.<\/p>\n<p>Question 4.<br \/>\nComplete the rule. Then use the rule to complete the table.<br \/>\nMultiply the amount of money that Newton saves by __ to find the amount of money that Descartes saves.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15892\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-101.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 101\" width=\"408\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-101.png 408w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-101-300x76.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/><\/p>\n<p>Answer:<br \/>\nMultiply the amount of money that Newton saves by 3 to find the amount of money that Descartes saves.<\/p>\n<p>Question 5.<br \/>\nStructure<br \/>\nThe ordered pairs (3, 2), (6, 4), and (9, 6) relate the number of avocados to the number of plum tomatoes in a guacamole recipe. Use the relationship to complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 102\" width=\"644\" height=\"193\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102.png 644w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102-300x90.png 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102-300x90.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102\" width=\"300\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102-300x90.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-102.jpg 644w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFor each $1 bill you pay, you get 4 tokens and can play 2 games. You have 60 tokens. How many games can you play?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-103.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 103\" width=\"138\" height=\"132\" \/><br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\nUse a rule to create each pattern. Use a table to organize the information.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 104\" width=\"405\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104.png 405w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104-300x81.png 300w\" sizes=\"(max-width: 405px) 100vw, 405px\" \/><br \/>\nWrite ordered pairs that relate the number of tokens to the number of games you can play.<br \/>\n(4, 2), ___, ___, ___<br \/>\nWrite a rule. The number of games you can play is always ___ as much as the number of tokens.<br \/>\nSo, divide the number of tokens by __ to find the number of games you can play.<br \/>\n60 \u00f7 __ = ___<br \/>\nSo, you can play games.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66090\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104-300x81.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104\" width=\"300\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-104.jpg 405w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n(4, 2), (8,2), (12,6), (16,8)<br \/>\nWrite a rule. The number of games you can play is always half as much as the number of tokens.<br \/>\nSo, divide the number of tokens by 2 to find the number of games you can play.<br \/>\n60 \u00f7 2= 30<br \/>\nSo, you can play 30 games.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 6.<br \/>\nEach day, you read 33 pages and your friend reads 11 pages. How many pages does your friend read when you read 396 pages?<\/p>\n<p>Answer: 132 pages<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nEach day, you read 33 pages and your friend reads 11 pages.<br \/>\n33\/11 = 3<br \/>\n396\/3 = 132<br \/>\nThus your friend read 132 pages when you read 396 pages.<\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nEach pack of trading cards has 1 hero card, 5 combination cards, and 30 action cards. You buy packs of trading cards and get 35 combination cards. How many hero cards and action cards do you get?<\/p>\n<p>Answer: 7 hero cards<\/p>\n<h3><a id=\"Numerical_Paterns_Homework_&amp;_Practice_12.6\"><\/a>Numerical Paterns Homework &amp; Practice 12.6<\/h3>\n<p>Question 1.<br \/>\nUse the given rules to complete the table. Then complete the rule.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 105\" width=\"456\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105.png 456w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105-300x68.png 300w\" sizes=\"(max-width: 456px) 100vw, 456px\" \/><br \/>\nMultiply the number of candles sold by __ to find the amount of money raised.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105-300x68.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105\" width=\"300\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105-300x68.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-105.jpg 456w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nMultiply the number of candles sold by 8 to find the amount of money raised.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15897\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 106\" width=\"344\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106.png 344w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106-300x92.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><br \/>\nMultiply the number of servings by __ to find the number of pretzels.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66094\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106-300x92.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106\" width=\"300\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106-300x92.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-106.jpg 344w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nMultiply the number of servings by 20 to find the number of pretzels.<\/p>\n<p>Question 3.<br \/>\nComplete the rule. Then use the rule to complete the table.<br \/>\nDivide the number of contestants by __ to find the number of winners.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15898\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-107.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 107\" width=\"325\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-107.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-107-300x101.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><\/p>\n<p>Answer:<br \/>\nDivide the number of contestants by 4 to find the number of winners.<\/p>\n<p>Question 4.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nDraw Figure 4. How many red squares are in Figure 8? How many yellow squares are in Figure 8? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15899\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 108\" width=\"552\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108-300x65.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-66095\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108-300x65.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108\" width=\"300\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108-300x65.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-108.jpg 552w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nEach person at a baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets. How much money in certificates does the group receive?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nEach person at a baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets.<br \/>\n39 \u00d7 2 = $78<\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite a rule that relates the number of months to the cost of a gym membership. What is the cost of a 1-year membership?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15900\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-109.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 109\" width=\"240\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\n1 month $15<br \/>\n12 months = 15 \u00d7 12<br \/>\n= $180<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Convert the mass.<\/p>\n<p>Question 7.<br \/>\n7 g = __ mg<\/p>\n<p>Answer:<\/p>\n<p>Question 8.<br \/>\n92 g = ___ kg<\/p>\n<p>Answer:<br \/>\nconvert from grams to kgs.<br \/>\n92 grams = 0.92 kg<\/p>\n<p>Convert the capacity<\/p>\n<p>Question 9.<br \/>\n800 mL = __ L<\/p>\n<p>Answer:<br \/>\nConvert from ml to l<br \/>\n1 ml = 0.001<br \/>\n800 ml = 0.8 liters<\/p>\n<p>Question 10.<br \/>\n3 L = __ mL<\/p>\n<p>Answer:<br \/>\nConvert from liters to ml<br \/>\n1 liter = 1000 ml<br \/>\n3 liter = 3 \u00d7 1000 ml = 3000 ml<\/p>\n<h3><a id=\"Lesson_12.7_Graph_and_Analyze_Relationships\"><\/a>Lesson 12.7 Graph and Analyze Relationships<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete each table and graph the data in the coordinate plane. What do you notice about the points?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-110.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 110\" width=\"558\" height=\"409\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-110.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-110-300x220.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><br \/>\n<strong>Structure<\/strong><br \/>\nHow can you use the graphs to find the number of feet in 7 yards and the number of pints in 6 gallons? Explain your reasoning.<\/p>\n<p><strong>Think and Grow: Graph and Analyze Relationships<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFor each glass of iced tea Newton makes, he uses 2 spoonfuls of iced-tea mix and 10 fluid ounces of water. Newton uses 16 spoonfuls of iced-tea mix. How many fluid ounces of water does he use?<br \/>\n<strong>Step 1:<\/strong> Find the first several numbers in the numerical patterns for the amounts of iced-tea mix and water.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15902\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 112\" width=\"624\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112-300x70.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><br \/>\n<strong>Step 2:<\/strong> Write the ordered pairs from the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-113.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 113\" width=\"174\" height=\"69\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15904\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-114.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 114\" width=\"145\" height=\"253\" \/><br \/>\n<strong>Step 3:<\/strong> Plot the ordered pairs. Connect the points with line segments.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15905\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-115.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 115\" width=\"249\" height=\"254\" \/><br \/>\nBecause the ordered pairs follow a pattern, you can extend the line to the point where the x-coordinateis 16.<br \/>\nWhen the x-coordinate is 16, the y-coordinate is ___<br \/>\nSo, Newton uses __ fluid ounces of water.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112-300x70.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112\" width=\"300\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112-300x70.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-112.jpg 624w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-113.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 113\" width=\"174\" height=\"69\" \/><br \/>\n(2, 10), (4, 20), (6, 30), (8, 40), (10, 50), (12, 60), (14, 70), (16, 80)<br \/>\nBecause the ordered pairs follow a pattern, you can extend the line to the point where the x-coordinate is 16.<br \/>\nWhen the x-coordinate is 16, the y-coordinate is 80<br \/>\nSo, Newton uses 80 fluid ounces of water.<\/p>\n<p><strong>Show and Use<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the graph above. Newton uses 18 spoonfuls of iced-tea mix. How many fluid ounces of water does he use? Explain your reasoning<\/p>\n<p>Answer: 100<br \/>\nWhen the x-coordinate is 18, the y-coordinate is 100<br \/>\nSo, Newton uses 100 fluid ounces of water.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use the given information to complete the table. Describe the relationship between the two numerical patterns and plot the points.<\/p>\n<p>Question 2.<br \/>\nA slime recipes calls for 120 milliliters of vegetable oil and 30 grams of cornstarch. You measure 600 milliliters of vegetable oil. How many grams of cornstarch do you need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 116\" width=\"367\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116.png 367w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116-300x67.png 300w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15907\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-117.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 117\" width=\"284\" height=\"185\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116-300x67.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116-300x67.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-116.jpg 367w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-67097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-117.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-117\" width=\"284\" height=\"185\" \/><\/p>\n<p>Question 3.<br \/>\nA sponsor donates $5 for every 4 laps walked around a track. How much money does the sponsor donate for 28 laps walked?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15908\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 118\" width=\"341\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118.png 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118-300x69.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15909\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-119.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 119\" width=\"232\" height=\"237\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67099\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118-300x69.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118\" width=\"300\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118-300x69.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-118.jpg 341w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-67100\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-119.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-119\" width=\"232\" height=\"237\" \/><\/p>\n<p>Question 4.<br \/>\n<strong>Writing<\/strong><br \/>\nHow can you use the graph to determine the number of cups in 4 gallons?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15910\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-120.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 120\" width=\"177\" height=\"252\" \/><\/p>\n<p>Answer: (4, 64)<\/p>\n<p>Question 5.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhat does the ordered pair (0, 0) represent in the graph?<\/p>\n<p>Answer: Origin<\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse the graph to determine the number of cups in 2\\(\\frac{1}{2}\\) gallons.<\/p>\n<p>Answer: 40 cups<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nSome friends plan to go to a trampoline park for 2 hours. They want to go to the park that costs less money. Which park should they choose? What is the cost for each person?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15911\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-121.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 121\" width=\"200\" height=\"130\" \/><br \/>\nGraph the relationship between time and cost at both parks. Park A has been done for you.<br \/>\n<strong>Step 1:<\/strong> Make a table for time and cost at Park B.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15912\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 122\" width=\"400\" height=\"126\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122.png 400w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122-300x95.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15913\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-123.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 123\" width=\"227\" height=\"326\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-123.png 227w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-123-209x300.png 209w\" sizes=\"(max-width: 227px) 100vw, 227px\" \/><br \/>\n<strong>Step 2:<\/strong> Write the ordered pairs from the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15914\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-124.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 124\" width=\"229\" height=\"84\" \/><br \/>\n<strong>Step 3:<\/strong> Plot the ordered pairs. Connect the points with line segments.<\/p>\n<p>Use the graph to compare the costs for 2 hours at the parks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15915\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-125.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 125\" width=\"593\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-125.png 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-125-300x91.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><br \/>\nSo, the group of friends should choose Trampoline Park __<br \/>\nThe cost for each person is $ ___.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67101\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122-300x95.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122\" width=\"300\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122-300x95.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-122.jpg 400w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSo, the group of friends should choose Trampoline Park A.<br \/>\nThe cost for each person is $ 15.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 7.<br \/>\nOn your map, every centimeter represents 20 kilometers. On your friend\u2019s map, every 2 centimeters represents 50 kilometers. On whose map does 6 centimeters represent a greater distance? How much greater? Explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nOn your map, every centimeter represents 20 kilometers.<br \/>\nOn your friend\u2019s map, every 2 centimeters represents 50 kilometers.<br \/>\n4 cm = 100 kilometers<br \/>\n6 cm = 150 kilometers<\/p>\n<h3><a id=\"Graph_and_Analyze_Relationships_Homework_&amp;_Practice_12.7\"><\/a>Graph and Analyze Relationships Homework &amp; Practice 12.7<\/h3>\n<p>Question 1.<br \/>\nUse the graph above. You plan to park your car for 140 minutes. How much money do you put into the meter?<\/p>\n<p>Answer: $35 for 140 minutes<\/p>\n<p>Question 2.<br \/>\nA boxer exercises by jumping rope. He completes 150 repetitions every minute. He completes 750 repetitions. For how many minutes does he jump rope?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15916\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 126\" width=\"652\" height=\"205\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126.png 652w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126-300x94.png 300w\" sizes=\"(max-width: 652px) 100vw, 652px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67105\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126-300x94.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126\" width=\"300\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126-300x94.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-126.jpg 652w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 3.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says a baker makes 60 plain bagels in 5 hours. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15917\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-127.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 127\" width=\"225\" height=\"71\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15918\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-128.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 128\" width=\"179\" height=\"185\" \/><\/p>\n<p>Answer: Yes, your friend is correct<\/p>\n<p>Question 4.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nSome friends plan to rent bicycles for 6 hours. They want to choose the option that costs less money. Which option should they choose? What is the cost for each person?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15920\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 129\" width=\"358\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.png 358w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129-300x111.png 300w\" sizes=\"(max-width: 358px) 100vw, 358px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15919\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 129.1\" width=\"203\" height=\"332\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1.png 203w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1-183x300.png 183w\" sizes=\"(max-width: 203px) 100vw, 203px\" \/><\/p>\n<p>Answer: They should choose option B.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67106\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1-183x300.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1\" width=\"183\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1-183x300.jpg 183w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-129.1.jpg 203w\" sizes=\"(max-width: 183px) 100vw, 183px\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15921\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-130.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 130\" width=\"141\" height=\"55\" \/><\/p>\n<p>Answer:<br \/>\nConvert from feet to inches<br \/>\n3.3 feet = 39.6 inches<\/p>\n<p>Question 6.<br \/>\n6 mi = __ yd<\/p>\n<p>Answer:<br \/>\nConvert from miles to yards<br \/>\n1 mile = 1760 yards<br \/>\n6 miles = 10560 yards<\/p>\n<h3><a id=\"Patterns_in_the_Coordinate_Plane_Performance_Task_12\"><\/a>Patterns in the Coordinate Plane Performance Task 12<\/h3>\n<p>You use a series of commands on an app to create an animation of Descartes dancing and jumping.<\/p>\n<p>Question 1.<br \/>\na. Complete the animation commands to moveDescartes. Plot the points to show his movement.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15922\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-131.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 131\" width=\"646\" height=\"262\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-131.png 646w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-131-300x122.png 300w\" sizes=\"(max-width: 646px) 100vw, 646px\" \/><br \/>\nb. Connect the points. Describe the animation in your own words.<\/p>\n<p>Question 2.<br \/>\nYou play the animation commands to make Descartes dance.<br \/>\na. It takes 4 seconds for Descartes to move through the animation commands 1 time. Complete the table and graph the data in the coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15923\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 132\" width=\"348\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132.png 348w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132-300x68.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15924\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-133.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 133\" width=\"260\" height=\"279\" \/><br \/>\nb. You want Descartes to dance for an exact number of seconds. How can you find the number of times to play the animation commands? Use an example to justify your reasoning.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-67109\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132-300x68.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132\" width=\"300\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132-300x68.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-132.jpg 348w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-67110\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-133-1.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-133\" width=\"260\" height=\"279\" \/><\/p>\n<h3><a id=\"Patterns_in_the_Coordinate_Plane_Treasure_Hunt\"><\/a>Patterns in the Coordinate Plane Treasure Hunt<\/h3>\n<p><strong>Directions:<\/strong><\/p>\n<ol>\n<li>Each player arranges four Treasure Hunt Gold Bars on the My Treasure coordinate plane, horizontally or vertically.<\/li>\n<li>On your turn, name an ordered pair in the coordinate plane. If your partner says you found part of a gold bar, then plot the ordered pair in red. Otherwise, plot the ordered pair in black. Your turn is over.<\/li>\n<li>On your partner\u2019s turn, if your partner finds part of a gold bar, then plot a red on the ordered X pair in the coordinate plane. Tell your partner when all parts of a gold bar have been found.<\/li>\n<li>The first player to find all parts of the partner\u2019s gold bars wins!<\/li>\n<\/ol>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15925\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-134.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 134\" width=\"673\" height=\"517\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-134.png 673w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-134-300x230.png 300w\" sizes=\"(max-width: 673px) 100vw, 673px\" \/><\/p>\n<h3><a id=\"Patterns_in_the_Coordinate_Plane_Chapter_Practice_12\"><\/a>Patterns in the Coordinate Plane Chapter Practice 12<\/h3>\n<p><strong>12.1 Plot Points in a Coordinate Plane<\/strong><\/p>\n<p>Use the coordinate plane to write the ordered pair corresponding to the point.<\/p>\n<p>Question 1.<br \/>\nPoint A<\/p>\n<p>Answer: The ordered pair of Point A is (4, 6)<\/p>\n<p>Question 2.<br \/>\nPoint D<\/p>\n<p>Answer: The ordered pair of Point B is (0, 0)<\/p>\n<p>Question 3.<br \/>\nPoint B<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15926\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-135.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 135\" width=\"198\" height=\"199\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-135.png 198w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-135-150x150.png 150w\" sizes=\"(max-width: 198px) 100vw, 198px\" \/><\/p>\n<p>Answer: The ordered pair of Point B is (2, 3)<\/p>\n<p>Question 4.<br \/>\nPoint E<\/p>\n<p>Answer: The ordered pair of Point E is (2, 0)<\/p>\n<p>Question 5.<br \/>\nPoint C<\/p>\n<p>Answer: The ordered pair of Point C is (8, 3)<\/p>\n<p>Question 6.<br \/>\nPoint F<\/p>\n<p>Answer: The ordered pair of Point F is (8, 7)<\/p>\n<p>Plot and label the point in the coordinate plane above.<\/p>\n<p>Question 7.<br \/>\nN(3, 0)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64697\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12\" width=\"220\" height=\"199\" \/><\/p>\n<p>Question 8.<br \/>\nP(1, 5)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64698\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-img_2.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12 img_2\" width=\"220\" height=\"199\" \/><\/p>\n<p>Question 9.<br \/>\nR(2, 1)<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64699\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-img_3.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12 img_3\" width=\"220\" height=\"199\" \/><\/p>\n<p>Name the point for the ordered pair.<\/p>\n<p>Question 10.<br \/>\n(0, 8)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15928\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-136.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 136\" width=\"200\" height=\"201\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-136.png 200w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-136-150x150.png 150w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/><\/p>\n<p>Answer: G is the point for the ordered pair (0, 8)<\/p>\n<p>Question 11.<br \/>\n(5, 6)<\/p>\n<p>Answer: J is the point for the ordered pair (5, 6)<\/p>\n<p>Question 12.<br \/>\n(4, 2)<\/p>\n<p>Answer: H is the point for the ordered pair (4, 2)<\/p>\n<p>Question 13.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nUse the coordinate plane above. Point S is 2 units from point J. Name two possible ordered pairs for point S.<\/p>\n<p>Answer: The two possible ordered pairs for point S are (6, 2) or (4, 4)<\/p>\n<p><strong>12.2 Relate Points in a Cooordinate Plane<\/strong><\/p>\n<p>Find the distance between the points in the coordinate grid.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15927\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-136.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 136.1\" width=\"205\" height=\"196\" \/><\/p>\n<p>Question 14.<br \/>\nA and B<\/p>\n<p>Answer:<br \/>\nThe distance between the two points A and B is 2 units.<\/p>\n<p>Question 15.<br \/>\nE and F<\/p>\n<p>Answer: The distance between the two points E and F is 3 units.<\/p>\n<p>Question 16.<br \/>\nC and D<\/p>\n<p>Answer: The distance between the two points C and D is 7 units.<\/p>\n<p>Question 17.<br \/>\nWhich is longer, \\(\\overline{A C}\\) or \\(\\overline{G E}\\) ?<\/p>\n<p>Answer: \\(\\overline{A C}\\) is longer than \\(\\overline{G E}\\).<\/p>\n<p>Find the distance between the points.<\/p>\n<p>Question 18.<br \/>\n(0, 0) and (0, 4)<\/p>\n<p>Answer:<br \/>\nThe formula for distance between the points is \u221a(x2 &#8211; x1)\u00b2 + (y2 &#8211; y1)\u00b2<br \/>\n= \u221a(0 &#8211; 0)\u00b2 + (4 &#8211; 0)\u00b2<br \/>\n= \u221a16<br \/>\n= 4<br \/>\nThus the distance between the points is 4.<\/p>\n<p>Question 19.<br \/>\n(3, 2) and (3, 9)<\/p>\n<p>Answer:<br \/>\nThe formula for distance between the points is \u221a(x2 &#8211; x1)\u00b2 + (y2 &#8211; y1)\u00b2<br \/>\n= \u221a(3 &#8211; 3)\u00b2 + (9 &#8211; 2)\u00b2<br \/>\n= \u221a49<br \/>\n= 7<br \/>\nThus the distance between the points is 7.<\/p>\n<p>Question 20.<br \/>\n(0, 5) and (7, 5)<\/p>\n<p>Answer:<br \/>\nThe formula for distance between the points is \u221a(x2 &#8211; x1)\u00b2 + (y2 &#8211; y1)\u00b2<br \/>\n= \u221a(7 &#8211; 0)\u00b2 + (5 &#8211; 5)\u00b2<br \/>\n= \u221a49<br \/>\n= 7<br \/>\nThus the distance between the points is 7.<\/p>\n<p>A line passes through the given points. Name two other points that lie on the line.<\/p>\n<p>Question 21.<br \/>\n(0, 1) and (0, 7)<\/p>\n<p>Answer: (0, 5) and (0, 6) these two points lie on the same line.<\/p>\n<p>Question 22.<br \/>\n(5, 2) and (5, 8)<\/p>\n<p>Answer: (5, 3) and (5, 7) these two points lie on the same line.<\/p>\n<p>Question 23.<br \/>\n(6, 3) and (0, 3)<\/p>\n<p>Answer: (4, 3) and (3, 3) these two points lie on the same line.<\/p>\n<p><strong>12.3 Draw Polygons in a Coordinate Plane<\/strong><\/p>\n<p>Draw the polygon with the given vertices in a coordinate plane. Then identify it.<\/p>\n<p>Question 24.<br \/>\nA(2, 5), B(5, 5), C(5, 0), D(2, 0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15929\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-137.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 137\" width=\"172\" height=\"169\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64706\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-137-1.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-137\" width=\"172\" height=\"169\" \/><\/p>\n<p>Question 25.<br \/>\nD(1, 3), E(1, 5), F(3, 6), G(5, 5), H(5, 3), J(3, 2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15930\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-138.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 138\" width=\"170\" height=\"166\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64708\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-137-2.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-137\" width=\"172\" height=\"169\" \/><\/p>\n<p><strong>12.4 Graph Data<\/strong><\/p>\n<p>Question 26.<br \/>\nThe table shows how many home runs your team scores in each of six kickball games. Graph the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15931\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 139\" width=\"615\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139.png 615w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139-300x91.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><br \/>\nWhat does the point (6, 3) represent? What is the difference of the greatest number of home runs and the least number of home runs? Explain.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-64709\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139-1-300x91.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139\" width=\"300\" height=\"91\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139-1-300x91.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-139-1.png 615w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n(2, 1) is the least number of home runs.<\/p>\n<p><strong>12.5 Make an Interpret Line Graphs<\/strong><\/p>\n<p>Question 27.<br \/>\nThe table shows the total numbers of coupon books you sell over 7 days. Make a line graph of the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15932\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-140.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 140\" width=\"348\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-140.png 348w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-140-300x65.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15933\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-141.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 141\" width=\"250\" height=\"326\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-141.png 250w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-141-230x300.png 230w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><br \/>\nOn which day do you sell the most books? Explain.<\/p>\n<p>Answer: 7th day<br \/>\nHow many books do you think you sell after 9 days? Explain.<\/p>\n<p>Answer: 29 books<\/p>\n<p><strong>12.7 Numerical Patterns<\/strong><\/p>\n<p>Question 28.<br \/>\nUse the given rules to complete the table. Then complete the rule.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15934\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 142\" width=\"513\" height=\"115\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142.png 513w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142-300x67.png 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><br \/>\nMultiply the number of ounces of pudding mix by __ to find the number of ounces of pumpkin.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-64712\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142-1-300x67.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142\" width=\"300\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142-1-300x67.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-142-1.png 513w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>12.7 Graph and Analyze Relationships<\/strong><\/p>\n<p>Question 29.<br \/>\nAn employee earns $80 every 8 hours. How much money does she earn after 40 hours?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15935\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 143\" width=\"369\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143.png 369w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143-300x62.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15936\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-144.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 144\" width=\"218\" height=\"188\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-64713\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143-1-300x62.png\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143\" width=\"300\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143-1-300x62.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-143-1.png 369w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-64714\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-144.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-144\" width=\"218\" height=\"188\" \/><\/p>\n<p>Question 30.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA group of friends wants to play laser tag for 60 minutes. They want to go to the facility that costs less money. Which facility should they choose? What is the cost for each person?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15937\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-145.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 145\" width=\"356\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-145.png 356w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-145-300x160.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15938\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-146.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 12 Patterns in the Coordinate Plane 146\" width=\"244\" height=\"331\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-146.png 244w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane-146-221x300.png 221w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><\/p>\n<p>Answer: They need to choose Facility B.<\/p>\n<p><em>Final Words:<\/em><\/p>\n<p>Learn the Big Ideas Math Book 5th Grade Solution Key Chapter 12 Patterns in the Coordinate Plane provided and improve your math as well as problem-solving skills. You can achieve greater heights and fall in love with Math with our Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane. Bookmark our ccssmathanswers.com to get the solutions of Big Ideas Math Grade 5 Chapters from 1 to 13.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane will help the students to improve their math skills easily. Answers are provided for Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane along with the explanation. All the solutions are explained clearly step-by-step in a simple manner. &#8230; <a title=\"Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-12\/\" aria-label=\"More on Big Ideas Math Answers Grade 5 Chapter 12 Patterns in the Coordinate Plane\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":89671,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-12-Patterns-in-the-Coordinate-Plane.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15731"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=15731"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15731\/revisions"}],"predecessor-version":[{"id":90257,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15731\/revisions\/90257"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89671"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=15731"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=15731"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=15731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}