Interpreting graphs and charts
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1 G Interpreting graphs and charts on
2 To the Student In FOCUS on Interpreting Graphs and Charts, Book G, you will read problems and answer questions. You will practice using a math strategy called Interpreting Graphs and Charts. You will learn about the strategy on the Learn About pages. You will see a sample passage, sample questions, and sample answer choices on the Lesson Preview pages. Then you will practice using the strategy in twenty lessons. Each lesson has a passage and five questions. After you finish reading the passage, answer the five questions. For the first four questions, fill in the correct answers on the Answer Form on page 53. Or, you may fill in the correct answers directly on the page. For the fifth question, show your work. Then write and explain your answer. Fill in the circle on the Answer Form to show that you have completed the fifth question. Use the Tracking Chart on page 47 to show when you have finished each lesson and the number of questions that you answered correctly. After each group of five lessons, complete a self-assessment to see how you are doing. So... FOCUS and enjoy! Acknowledgments Product Development Project Developer: Mazer Creative Services Curriculum Associates Project Editor: Pamela Halloran Curriculum Associates Project Designer: Susan Hawk Photo and Illustration Credits Shutterstock.com: cover procurator ISBN Curriculum Associates, Inc. North Billerica, MA 1862 No part of this book may be reproduced by any means without written permission from the publisher. All Rights Reserved. Printed in USA
3 Table of Contents Learn About... 2 Lesson Preview... 4 Lesson 1 Penguin Population... 6 Lesson 2 Gone Fishing... 8 Lesson 3 Patients of All Ages... 1 Lesson 4 Old MacDonald s Farm Lesson 5 26 Winter Olympic Medals Lesson 6 Las Vegas Vacation Lesson 7 Roaring Roller Coasters Lesson 8 Yearbooks for Sale!... 2 Lesson 9 Touchdown! Goal! Ace! Lesson 1 Shearing Sheep Lesson 11 Dinosaurs Come in All Sizes Lesson 12 Gone Today, Here Tomorrow Lesson 13 Food Favorites... 3 Lesson 14 Baby-sitting for a New Bicycle Lesson 15 Miniature Golf Lesson 16 Drama Club Lesson 17 Cooper s Studies Lesson 18 Pen Pals... 4 Lesson 19 Favorite Types of Music Lesson 2 Red Riding Hood Revisited Tracking Chart Self-Assessment 1, Lessons Self-Assessment 2, Lessons Self-Assessment 3, Lessons Self-Assessment 4, Lessons Self-Assessment 5, Lessons Answer Form... 53
4 Learn About Interpreting Graphs and Charts: Bar Graphs, Stem-and-Leaf Plots, and Scale Maps A bar graph uses numbers and bars to compare amounts. A stem-and-leaf plot shows groups of data organized by place value. The bar graph shows that 5 students scored between 9 and 99. The stem-and-leaf plot shows that these scores are 92, 93, 93, 95, and 98. Bar Graph Stem-and-Leaf Plot Number of Students Science Test Scores Scores tens digits Science Test Scores Stems Leaves 6 4, 6, 7 7 2, 2, 4, 7, 8, 8 8, 1, 1, 1, 4, 6, 6, 9 9 2, 3, 3, 5, 8 ones digits A scale map is a proportional representation of a location. The scale is used to find the distance between points. This scale map shows that the distance between the basketball court and the swimming pool is 8 meters. Basketball Court Entrance 2 cm 4 cm Weight Room 3 cm Swimming Pool 5 cm 4 cm Racquetball Court 1 cm = 2 meters Look at the map above. Jaime walked from the swimming pool to the racquetball court and then to the weight room. How far did Jaime walk in all? From the swimming pool to the racquetball court: 4 cm From the racquetball court to the weight room: 5 cm = 9. Each centimeter represents 2 meters, so multiply: 9 2 = 18. Jaime walked 18 meters in all. Remember: A bar graph uses numbers and bars to compare amounts. A stem-and-leaf plot organizes data by place value. A scale map is a proportional representation of a location. 2
5 Learn About Interpreting Graphs and Charts: Circle Graphs, Line Graphs, and Coordinate Grids Line graphs are used to show change over time. Coordinate grids can be used to show rates. The line graph and coordinate grid below both show information about the time spent shoveling snow. Line Graph Coordinate Grid Minutes Time Spent Shoveling Snow Sat. Sun. Mon. Tues. Wed. Day Pounds of Snow Shoveled Flannel 7% Minutes Shirts Students are Wearing A circle graph shows how each part of a group relates to the whole. This circle graph shows the percent of students wearing different types of shirts. Sweatshirt 47% T-shirt 23% Sweater 13% Polo 1% Look at the coordinate grid above. If the shoveling rate continues, how many pounds of snow will be shoveled in 6 minutes? The number of pounds of snow increases by 15 pounds each minute = 9 At this rate, 9 pounds of snow would be shoveled in 6 minutes. Remember: Line graphs are used to show change over time. Coordinate grids can be used to show rates. A circle graph shows how each part of a group relates to the whole. 3
6 Lesson 17 Read the passage. Then do Numbers 1 5. Cooper s Studies Cooper is studying to be a veterinarian. He learns about different dog breeds. Some of them are tiny, and others grow to be huge. Smaller breeds tend to have longer life spans (13 to 15 years), and larger breeds may live only 8 to 1 years. The bar graph displays the average weights of six different dog breeds. 1 Average Weights of Dogs 9 8 Weight (lb) Basset Hound Collie Chihuahua Great Dane Breed Husky Manchester Terrier 1. Which dog weighs less than the Manchester Terrier? A Basset Hound B Husky C Chihuahua D Collie 2. Which dogs represent the mode weight? A Collie and Husky B Basset Hound and Husky C Great Dane and Chihuahua D Manchester Terrier and Collie 38
7 3. What is the range of the data? A 85 lb B 9 lb C 95 lb D 1 lb 4. One collie weighs about as much as how many Chihuahuas? A 8 Chihuahuas B 9 Chihuahuas C 1 Chihuahuas D 15 Chihuahuas 5. The amount that a dog eats is proportional to its weight. If a Manchester Terrier eats 1.5 cups of dry dog food each day, approximately how much dry dog food does a Great Dane eat each day? Show your work in the space below. Remember to check your solution. Write your solution. Explain how you found your solution. 39
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