Authors Basich Whitney • Brown • Dawson • Gonsalves • Silbey • Vielhaber Joe McBride/CORBIS Photo Credits Cover, i Joe McBride/CORBIS; iv (tl)File Photo, (tc tr)The McGraw-Hill Companies, (cl c)Doug Martin, (cr)Aaron Haupt, (bl bc)File Photo; v (L to R 11 12)The McGraw-Hill Companies, (5 10 13 14)File Photo; vii Dynamic Graphics Group/Creatas/Alamy; viii Jeremy Woodhouse/Getty Images; ix Glen Allison/Getty Images; x CORBIS; xi Scott Villalobos/SuperStock; 2–3 STOCK4B/ Getty Images; 33 CORBIS; 42–43 Masterfile; 48 Courtesy Miami University Copyright © 2008 by The McGraw-Hill Companies, Inc All rights reserved Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN: 978-0-07-878211-4 MHID: 0-07-878211-2 Printed in the United States of America 10 055/027 16 15 14 13 12 11 10 09 08 07 California Math Triumphs Volume 5A California Math Triumphs Volume Place Value and Basic Number Skills 1A Chapter Counting 1A Chapter Place Value 1A Chapter Addition and Subtraction 1B Chapter Multiplication 1B Chapter Division 1B Chapter Integers Volume Fractions and Decimals 2A Chapter Parts of a Whole 2A Chapter Equivalence of Fractions 2B Chapter Operations with Fractions 2B Chapter Positive and Negative Fractions and Decimals Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Volume Ratios, Rates, and Percents 3A Chapter Ratios and Rates 3A Chapter Percents, Fractions, and Decimals 3B Chapter Using Percents 3B Chapter Rates and Proportional Reasoning Volume The Core Processes of Mathematics 4A Chapter Operations and Equality 4A Chapter Math Fundamentals 4B Chapter Math Expressions 4B Chapter Linear Equations 4B Chapter Inequalities Volume Functions and Equations 5A Chapter Patterns and Relationships 5A Chapter Graphing 5B Chapter Proportional Relationships 5B Chapter The Relationship Between Graphs and Functions Volume Measurement 6A Chapter How Measurements Are Made 6A Chapter Length and Area in the Real World 6B Chapter Exact Measures in Geometry 6B Chapter Angles and Circles iii Authors and Consultants AUTHORS Frances Basich Whitney Kathleen M Brown Dixie Dawson Project Director, Mathematics K–12 Santa Cruz County Office of Education Capitola, California Math Curriculum Staff Developer Washington Middle School Long Beach, California Math Curriculum Leader Long Beach Unified Long Beach, California Philip Gonsalves Robyn Silbey Kathy Vielhaber Mathematics Coordinator Alameda County Office of Education Hayward, California Math Specialist Montgomery County Public Schools Gaithersburg, Maryland Mathematics Consultant St Louis, Missouri Viken Hovsepian Professor of Mathematics Rio Hondo College Whittier, California Dinah Zike Educational Consultant, Dinah-Might Activities, Inc San Antonio, Texas CONSULTANTS Assessment Donna M Kopenski, Ed.D Math Coordinator K–5 City Heights Educational Collaborative San Diego, California Instructional Planning and Support ELL Support and Vocabulary Beatrice Luchin ReLeah Cossett Lent Mathematics Consultant League City, Texas Author/Educational Consultant Alford, Florida iv (tl)File Photo, (tc tr)The McGraw-Hill Companies, (cl c)Doug Martin, (cr)Aaron Haupt, (bl bc)File Photo Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc CONTRIBUTING AUTHORS California Advisory Board CALIFORNIA ADVISORY BOARD Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Glencoe wishes to thank the following professionals for their invaluable feedback during the development of the program They reviewed the table of contents, the prototype of the Student Study Guide, the prototype of the Teacher Wraparound Edition, and the professional development plan Linda Anderson Cheryl L Avalos Bonnie Awes Kathleen M Brown 4th/5th Grade Teacher Oliveira Elementary School, Fremont, California Mathematics Consultant Retired Teacher Hacienda Heights, California Teacher, 6th Grade Math Monroe Clark Middle School San Diego, California Math Curriculum Staff Developer Washington Middle School Long Beach, California Carol Cronk Audrey M Day Jill Fetters Grant A Fraser, Ph.D Mathematics Program Specialist San Bernardino City Unified School District San Bernardino, California Classroom Teacher Rosa Parks Elementary School San Diego, California Math Teacher Tevis Jr High School Bakersfield, California Professor of Mathematics California State University, Los Angeles Los Angeles, California Eric Kimmel Donna M Kopenski, Ed.D Michael A Pease Chuck Podhorsky, Ph.D Mathematics Department Chair Frontier High School Bakersfield, California Math Coordinator K–5 City Heights Educational Collaborative San Diego, California Instructional Math Coach Aspire Public Schools Oakland, California Math Director City Heights Educational Collaborative San Diego, California Arthur K Wayman, Ph.D Frances Basich Whitney Mario Borrayo Melissa Bray Professor Emeritus California State University, Long Beach Long Beach, California Project Director, Mathematics K–12 Santa Cruz County Office of Education Capitola, CA Teacher Rosa Parks Elementary San Diego, California K–8 Math Resource Teacher Modesto City Schools Modesto, California v (L to R 11 12)The McGraw-Hill Companies, (5 10 13 14)File Photo California Reviewers CALIFORNIA REVIEWERS Each California Reviewer reviewed at least two chapters of the Student Study Guides, providing feedback and suggestions for improving the effectiveness of the mathematics instruction Melody McGuire Math Teacher California College Preparatory Academy Oakland, California 6th and 7th Grade Math Teacher McKinleyville Middle School McKinleyville, California Eppie Leamy Chung Monica S Patterson Teacher Modesto City Schools Modesto, California Educator Aspire Public Schools Modesto, California Judy Descoteaux Rechelle Pearlman Mathematics Teacher Thornton Junior High School Fremont, California 4th Grade Teacher Wanda Hirsch Elementary School Tracy, California Paul J Fogarty Armida Picon Mathematics Lead Aspire Public Schools Modesto, California 5th Grade Teacher Mineral King School Visalia, California Lisa Majarian Anthony J Solina Classroom Teacher Cottonwood Creek Elementary Visalia, California Lead Educator Aspire Public Schools Stockton, California vi Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Bobbi Anne Barnowsky Volume 5A Functions and Equations Chapter Patterns and Relationships 1-1 Sort and Classify .4 KAF1.1, 1SDAP1.1 1-2 Patterns .13 1SDAP2.1, 2SDAP2.1 Progress Check .20 1-3 Number Relationships 21 2SDAP2.1, 3AF2.2, 1-4 Solve Equations .27 3AF2.1, 4AF1.5 Progress Check .33 Assessment Study Guide .34 Chapter Test .38 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Standards Practice 40 Dana Meadows near Yosemite National Park Chapters and are contained in Volume 5A Chapters and are contained in Volume 5B Standards Addressed in This Chapter KAF1.1 Identify, sort, and classify objects by attribute and identify objects that not belong to a particular group (e.g., all these balls are green, those are red) 1SDAP1.1 Sort objects and data by common attributes and describe the categories 1SDAP2.1 Describe, extend, and explain ways to get to a next element in simple repeating patterns (e.g., rhythmic, numeric, color, and shape) 2SDAP2.1 Recognize, describe, and extend patterns and determine a next term in linear patterns (e.g., 4, 8, 12 , the number of ears on one horse, two horses, four horses) 3AF2.1 Solve simple problems involving a functional relationship between two quantities (e.g., find the total cost of multiple items given the cost per unit) 3AF2.2 Extend and recognize a linear pattern by its rules (e.g., the number of legs on a given number of horses may be calculated by counting by 4s or by multiplying the number of horses by 4) 4AF1.5 Understand that an equation such as y = 3x + is a prescription for determining a second number when a first number is given vii Dynamic Graphics Group/Creatas/Alamy Contents Chapter Graphing Standards Addressed in This Chapter 2-1 Bar Graphs and Picture Graphs 44 1SDAP1.2, 2SDAP1.1, 2SDAP1.2 2-2 Line Plots 53 3SDAP1.3, 2SDAP1.1, 2SDAP1.2 Progress Check .60 2-3 Ordered Pairs 61 5SDAP1.5, 4MG2.0, 5SDAP1.4 2-4 Coordinate Grids 67 4MG2.1, 5SDAP1.4, 5SDAP1.5 Progress Check .75 Assessment Study Guide .76 Chapter Test .80 Standards Practice 82 2SDAP1.1 Record numerical data in systematic ways, keeping track of what has been counted 2SDAP1.2 Represent the same data set in more than one way (e.g., bar graphs and charts with tallies) 3SDAP1.3 Summarize and display the results of probability experiments in a clear and organized way (e.g., use a bar graph or a line plot) 4MG2.0 Students use twodimensional coordinate grids to represent points and graph lines and simple figures 4MG2.1 Draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3x and connect them by using a straight line) 5SDAP1.4 Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by the graph 5SDAP1.5 Know how to write ordered pairs correctly; for example, (x, y) viii Jeremy Woodhouse/Getty Images Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Golden Gate Bridge, San Francisco 1SDAP1.2 Represent and compare data (e.g., largest, smallest, most often, least often) by using pictures, bar graphs, tally charts, and picture graphs Contents Chapter Proportional Relationships 3-1 Linear Patterns 3AF2.1, 3AF2.2 3-2 Ratios and Rates 11 3AF2.1, 6AF2.1 Progress Check .18 3-3 Proportional Reasoning 19 3AF2.1, 6NS1.3 Assessment Study Guide .26 Chapter Test .28 Standards Practice 30 Wind turbines, Altamont Chapters and are contained in Volume 5A Chapters and are contained in Volume 5B Standards Addressed in This Chapter 3AF2.1 Solve simple problems involving a functional relationship between two quantities (e.g., find the total cost of multiple items given the cost per unit) 3AF2.2 Extend and recognize a linear pattern by its rules (e.g., the number of legs on a given number of horses may be calculated by counting by 4s or by multiplying the number of horses by 4) 6NS1.3 Use proportions to solve problems (e.g., determine the value of N N if = _, find the length of a side of a 21 polygon similar to a known polygon) Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc 6AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches ix Glen Allison/Getty Images Contents Chapter The Relationship Between Graphs and Functions 4-1 Introduction to Functions 34 Standards Addressed in This Chapter 5AF1.5 4-2 Graph Linear and Nonlinear Equations 41 7AF3.0, 7AF3.1 Progress Check 50 4-3 Direct Variation .51 7AF3.3, 7AF3.4 4-4 Slope 59 7AF3.3, 7AF3.4 Progress Check 66 Assessment Study Guide 67 Chapter Test 72 Standards Practice 74 x CORBIS 7AF3.0 Students graph and interpret linear and some nonlinear functions 7AF3.1 Graph functions of the y = nx2 and y = nx3 and use in solving problems 7AF3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph 7AF3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle) Fit a line to the plot and understand that the slope of the line equals the ratio of the quantities Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc Redwood National Park 5AF1.5 Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid Graph each equation Make a table for the equation y = -x + x -x + -1 -(-1) + -(1) + -(2) + -(0) + Graph the equation from Exercise Ordered Pair y y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 Step by Step Practice Kyle pays 4d - dollars a week to join an exercise class at his health club, where d is the number of days he attends Show the relationship between the number of days Kyle exercises at the health club and the amount of money he will pay each week on the coordinate grid How much money, m, will Kyle pay if he attends the class days this week? Copyright © by The McGraw-Hill Companies, Inc Step Make a table Substitute 1, 2, and for d Solve for m Step Graph the ordered pairs Connect the points with a line d 4d - 4(1) - 2 4(2) - 4(3) - y Ordered Pair 10 O y 10 d The ordered pair means that Kyle will pay $ to attend the exercise class days this week GO ON Lesson 2-4 Coordinate Grids 71 Step by Step Problem-Solving Practice Problem-Solving Strategies ✓ Make a graph It costs $3 to rent new video games and $1 to rent older games Sabrina has $10 to rent video games Substitute three values in the equation 3x + y = 10 to show how many new, x, and older games, y, Sabrina can rent for $10 Look for a pattern Guess and check Act it out Solve a simpler problem Understand Read the problem Write what you know Let x represent the number of new video games and y represent the older games Sabrina can spend The values that you substitute for x and y must fit the equation 3x + y = 10 Plan Pick a strategy One strategy is to make a graph Solve Rewrite the equation by solving for y 3x + y = 10 3x + y - 3x = 10 - 3x y = 10 - 3x Then make a table Substitute 1, 2, and for x Solve for y 10 - 3x 10 - 3(1) 10 - 3(2) 10 - 3(3) y Older Games x Ordered Pair O y 10 x New Games Graph the ordered pairs Connect the points with a line Explain the solutions Sabrina can rent new and for $10 Sabrina can rent new and for $10 Sabrina can rent new and games for $10 Check 72 older games older games older Use multiplication to check your answers Chapter Graphing Copyright © by The McGraw-Hill Companies, Inc 10 7 NATURE Julio wants to have a picnic with his friends at a state park The cost of admission to the park is $2 per person, plus $1 for parking Write an equation to represent the situation Then substitute four values to find out how much Julio will have to pay Make a table and then graph the ordered pairs Check off each step Understand x Plan 2x + Ordered Pair y Solve Check Explain how to graph the equation y = 5x + 8 10 O y 10 x Copyright © by The McGraw-Hill Companies, Inc Hours Skills, Concepts, and Problem Solving Make a table for the equation y = -3x + x -3x + y -2 -3(-2) + 10 -1 10 Ordered Pair (-2, 10) Graph the equation from Exercise 10 y x O -5-4 -3-2-1 -1 -2 GO ON Lesson 2-4 Coordinate Grids 73 Solve JOGGING Ronald walks miles in hour Write an equation to represent the situation Then substitute five values to find how far Ronald can walk in each situation Make a table and then graph the ordered pairs to find the solutions h 3h m 3(0) Ordered Pair (0, 0) Miles 11 10 O y 10 x Hours How many miles can Ronald walk in hours? Vocabulary Check sentence Write the vocabulary word that completes each A(n) is a grid in which a horizontal number line and a vertical number line intersect at their zero points 13 A(n) is a pair of numbers that are the coordinates in a coordinate grid 14 Writing in Math y = -x + Explain how to make a table for the equation Spiral Review 15 SHAPES Dylan wants to draw a square The first three points are plotted on the coordinate grid Where should the fourth point be plotted to make a square? Plot the point (Lesson 2-3, p 61) O 74 Chapter Graphing y 7x Copyright © by The McGraw-Hill Companies, Inc 12 Chapter Progress Check 2 (Lessons 2-3 and 2-4) Name the ordered pair for each point A B C D 10 # y $ x O -10-8 -6-4-2 -2 10 -4 -6 " -8 % -10 Make a table for the equation y = -3x - x y -2 -1 Graph the equation from Exercise y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 -6 -7 Solve Copyright © by The McGraw-Hill Companies, Inc PACKAGES The delivery company that Selena works for charges $5 to pick up packages The company also charges $2 for each pound a package weighs Make a table and then graph the ordered pairs Selena picked up a 4-pound package How much will it cost to deliver the package? x y 14 13 12 11 10 O y 10 x Lesson 2-4 Coordinate Grids 75 Chapter Study Guide Vocabulary and Concept Check bar graph, p 44 data, p 44 Write the vocabulary word that completes each sentence A(n) is a graph that compares data by using bars of different lengths or heights to show values A(n) is a graph that uses columns of Xs above a number line to show frequency of data key, p 44 line plot, p 53 ordered pair, p 61 origin, p 61 tally chart, p 44 tally mark, p 44 is information collected from a survey or experiment x-axis, p 61 y-axis, p 61 Using a(n) is a way to organize data using marks to record survey results A(n) tells what or how many each symbol stands for in a graph Label the diagram below Write the correct vocabulary term in each blank (2, 3) -3 -2 -1 -1 (0, 0) O x -2 -3 76 Chapter Study Guide Copyright © by The McGraw-Hill Companies, Inc y Lesson Review 2-1 Bar Graphs and Picture Graphs (pp 44–52) How many students play football? Use the bar graph from Example to answer each question Number of Students Playing Sports What is the total number of students playing baseball? Football Sport 10 Example Soccer Baseball 11 How many more students play baseball than play soccer? 10 12 14 16 Number of Students Look at the category Football The length of the bar is 7, so there are students playing football 2-2 Copyright © by The McGraw-Hill Companies, Inc 12 Line Plots (pp 53–59) Example Sarala drew number cards out of a bag 25 times without looking The bag contained different-numbered cards The tally chart shows her results Create a line plot to display the data How many times did Sarala draw a 10 card? Ling rolled a number cube 20 times Each time Ling rolled the number cube, she recorded the number on a tally chart Create a line plot to display the data that Ling recorded on her table Results of Rolls Results Card Number Frequency IIII III 10 IIII I 15 IIII 20 IIII I Number Rolled Frequency III IIII II IIII II IIII Results Results of Rolls 10 15 Sarala drew a 10 card 20 times × × × × × × × × × × × × × × × × × × × × Chapter Study Guide 77 2-3 13 Ordered Pairs (pp 61–66) Name the ordered pair for each point y : x O -5-4 -3-2-1 -1 ; -2 -3 -4 -5 Example Name the ordered pair for point R y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 Start at the origin, (0, 0) W Move to the right, along the x-axis, until you are under point R You moved right units, so the x-coordinate is X Y Then move units up, along a line parallel to the y-axis, until you reach point R You moved up units, so the y-coordinate is Z The ordered pair for point R is (2, 4) Graph each ordered pair A (-4, -4) 15 B (2, 4) 16 C (-3, 5) 17 D (-5, 0) Graph the ordered pair (5, -3) y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 78 Chapter Study Guide Start at the origin, (0, 0) Move units to the right, along the x-axis Then move units down, along a line parallel to the y-axis Plot a point y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 Copyright © by The McGraw-Hill Companies, Inc 14 Example (pp 67–74) Graph the equation y = -3x - x -3x - y -2 -3(-2) - -1 -3(-1) - -3(0) - 1 -3(1) - Dollars Saved Copyright © by The McGraw-Hill Companies, Inc Tony has $3 in his savings account He wants to save $2 more each week Show the relationship between the number of dollars he saves each week and the total amount of money in his savings account O equals 0.5 times pints ⎧ ⎨ ⎩ y = 0.5 × x Write the equation: y = 0.5x -2 -3 -4 -5 10 quarts ⎧ ⎨ ⎩ y ⎧ ⎨ ⎩ Let x = number of pints and y = number of quarts x O -5-4 -3-2-1 -1 19 There are pints in a quart Write an equation to represent the situation Then substitute five values to show the relationship between pints and quarts on a coordinate grid y Make a table Substitute 0, 2, 4, 6, and for x Solve for y x 0.5x y 0.5(0) Ordered Pair (0, 0) 0.5(2) (2, 1) 0.5(6) (6, 3) 0.5(8) (8, 4) 10 0.5(10) (10, 5) Graph the ordered pairs Connect the points with a line How many pints are in quarts? 10 x Number of Weeks The ordered pair (10, 5) means that there are 10 pints in quarts Quarts Ordered Pair (-2, 5) Example ⎧ ⎨ ⎩ 18 Coordinate Grids ⎧ ⎨ ⎩ 2-4 10 O y 10 x Pints How much money will Tony have in his savings account after more weeks? Tony will have $ Chapter Study Guide 79 Chapter Chapter Test The line plot shows the results of rolling a number cube 22 times Use the line plot to answer each question Results of 22 Rolls Which number was rolled the most? How many times was a number rolled? × × × × × × × × × What two numbers were rolled the same number of times? and × × ×× ×× ×× × × × × × Use the pictograph to answer each question How many chocolate milk shakes were ordered? How many vanilla milk shakes were ordered? Milk Shake Orders Flavor Number Ordered Chocolate Vanilla What was the total number of milk shakes ordered? Strawberry Key: = 20 orders What flavor of milk shake was ordered the least? Make a bar graph of the data in the tally chart Favorite Kinds of Juice Number of Votes 50 40 30 Favorite Juice Type of Juice Number of Votes Orange IIII IIII IIII IIII IIII IIII IIII IIII IIII I Tomato IIII IIII I Grape IIII IIII IIII IIII IIII IIII II Vegetable IIII III Pineapple III 20 10 Gr ap e Ve ge tab le Pin ea pp le To m ato Or an ge Types of Juice 80 How many more students chose orange juice than tomato juice as their favorite? Chapter Test GO ON Copyright © by The McGraw-Hill Companies, Inc Tommy took a survey of some of his friends, asking them to name their favorite kinds of juice The tally chart shows the results Name the ordered pair for each point 10 A 11 B 12 C 13 D 14 Make a table for the equation y = 3x - " % y # x O -5-4 -3-2-1 -1 -2 -3 -4 -5 $ x y -1 15 Graph the equation from Exercise 14 y x O -5-4 -3-2-1 -1 -2 -3 -4 -5 Solve 17 Food Item Selections FOOD The cooks at the Jefferson Hall cafeteria recorded the number of times three different food items were selected within a 15-minute period during dinner They recorded the results on a tally chart How many people chose home fries during that time period? Food Item Number of Times Selected Pizza IIII III Home Fries IIII IIII IIII Salad III TRAVEL The cost of a taxicab ride is $2 plus $2 for each mile Complete the table and then graph the ordered pairs x y 10 Total Cost Copyright © by The McGraw-Hill Companies, Inc 16 10 O y 10 x Number of Miles Delmar took a taxicab ride for miles What was his total charge for the taxicab ride? Chapter Test 81 Chapter Standards Practice Choose the best answer and fill in the corresponding circle on the sheet at right In Ms Goldberg’s class, how many students have birthdays in November or December? Month Number of Birthdays September A Type of Movie October November December Key: = students A students C 10 students B students D 12 students C Type of Movie Votes I Drama IIII Comedy IIII IIII Comedy IIII IIII Action I Action IIII IIII II Horror III Horror III Votes D Type of Movie Votes Drama IIII Drama IIII Comedy IIII II Comedy IIII IIII Action IIII IIII Action IIII II Horror III Horror I y What is a rule for this pattern? 30, 60, 120, 240, 480, 960 9x F parallelogram G rectangle H square F add 30 G subtract 30 H multiply by J add 60 J trapezoid GO ON 82 Chapter Standards Practice Copyright © by The McGraw-Hill Companies, Inc O Votes Drama B Type of Movie Which shape is made by plotting and connecting the following points on the coordinate grid: (3, 1), (7, 4), (7, 6), (3, 9)? 10 Corey took a survey of his classmates’ favorite kinds of movies His results show that more students enjoyed action movies than horror movies Which tally chart represents these results? What could be the next number in the sequence? 4y = x + 19 12, 17, 22, 27, 32, A 37 C 42 B 40 D 47 Find y if x = 25 F 11 H 44 G 62 J 81 ANSWER SHEET Copyright © by The McGraw-Hill Companies, Inc What is the next figure in this pattern? F H G J Which ordered pair does not fall on the line for the equation y = x + 3? 10 O Directions: Fill in the circle of each correct answer A B C D F G H J A B C D F G H J A B C D F G H J A B C D F G H J y Success Strategy When checking your answers, not change your mind on your answer choice unless you misread the question Your first choice is often the right one 9x A (3, 7) C (5, 8) B (2, 5) D (6, 9) Chapter Standards Practice 83 Index A Algebra and Functions, 4, 21, 27 Answer sheet, 41, 83 Assessment, 38–39, 80–81 attribute, 4–12 M Manipulatives counters, 27 Mathematical Reasoning See Step-by-Step Problem Solving Measurement and Geometry, 61, 67 B bar graph, 43, 44, 45, 46, 47, 48, 49, 51, 60, 74, 77 C California Mathematics Content Standards, 4, 21, 27, 44, 53, 61, 67 N number pattern, 21–26 O ordered pair, 61–66, 67–74 origin, 61–66, 67–74 Chapter Preview, 3, 43 Chapter Test, 38–39, 80–81 coordinate grid, 61–66, 67–75, 76, 78, 79, 81 Correct the Mistakes, 39 D E equation, 27–32 K key, 44–52 Key Concept, 4, 13, 21, 27, 44, 53, 61, 67 L line plot, 53–59, 60, 66, 77, 80 84 Index pattern, 13–19, 21–26 Reflect, 10, 17, 25, 31, 50, 58, 65, 73 rule pattern, 21–26 picture graph, 44–52, 59, 60, 80, 82 S Problem-Solving See Step-byStep Problem Solving sort, 4–12 Progress Check, 20, 33, 60, 75 spinner, 49, 53 R Real-World Applications ages, 30, 39 animals, 20 babies, 33 baby-sitting, 66 baseball, 49 basketball, 49 books, 24, 26 cities, 65 cleaning, 73 fashion, 31 fish, 25 fitness, 25 food, 9, 11, 39 Spiral Review, 18, 26, 32, 52, 59, 66, 74 Standards Practice, 40–41, 82–83 Statistics, Data Analysis, and Probability, 4, 13, 21, 44, 53, 61, 67 Step-by-Step Practice, 8, 15, 23, 29, 47, 55, 64, 71 Step-by-Step Problem Solving Practice, 9–10, 16, 24–25, 30–31, 49, 57, 64–65, 72–73 Draw a diagram, Look for a pattern, 16 Make a graph, 72 Make a table, 24 Copyright © by The McGraw-Hill Companies, Inc data, 44–52, 53–59 P football, 57 hairstyles, 52 hobbies, 31, 33, 36 homework, 36 jogging, 74 lacrosse, 51 landscaping, 16, 39 letters, 57 money, 32, 59 movies, 32 music, 26 neighborhoods, 20 notebooks, 18 number sense, 10, 12 packages, 75 pictures, 32 school, 16, 51 shapes, 36, 74 towns, 66 travel, 18, 26, 36, 39, 64 weather, 16, 19 Solve a simpler problem, 49, 64 Use a graph, 57 Use logical reasoning, 30 Study Guide, 34–37, 76–79 Success Strategy, 41, 83 T W Who is Correct?, 7, 14, 22, 28, 46, 54, 63, 70 Writing in Math, 12, 18, 26, 32, 52, 59, 66, 74 X tally chart, 43, 44–52, 53, 54, 56, 59, 60, 77, 81, 82 x-axis, 61–66, 67–74 tally mark, 44–52, 53–59 x-coordinate, 61–66, 67–74 term, 13 Y V value, 27–32 y-axis, 61–66, 67–74 y-coordinate, 61–66, 67–74 variable, 27–32 Venn diagram, 4–12, 19, 35, 39 Vocabulary, 4, 13, 21, 27, 44, 53, 61, 67 Vocabulary and Concept Check, 34, 76 Copyright © by The McGraw-Hill Companies, Inc Vocabulary Check, 12, 18, 26, 32, 52, 59, 66, 74 Index 85 ... 10 09 08 07 California Math Triumphs Volume 5A California Math Triumphs Volume Place Value and Basic Number Skills 1A Chapter Counting 1A Chapter Place Value 1A Chapter Addition and Subtraction... of Mathematics 4A Chapter Operations and Equality 4A Chapter Math Fundamentals 4B Chapter Math Expressions 4B Chapter Linear Equations 4B Chapter Inequalities Volume Functions and Equations 5A. .. School Bakersfield, California Math Coordinator K–5 City Heights Educational Collaborative San Diego, California Instructional Math Coach Aspire Public Schools Oakland, California Math Director City