• Expressions and Equations Moving Right Along Lesson 16-1 Representing Relationships
Expressions and Equations ACTIVITY 16 Moving Right Along Lesson 16-1 Representing Relationships Learning Targets: Create a table representing a relationship given a verbal description. Write an equation to represent a relationship given a verbal description or a table. Investigate rate of change. Graph equations of the form y = ax. My Notes • • • • SUGGESTED LEARNING STRATEGIES: Shared Reading, Role Play, Visualization, Quickwrite, Critique Reasoning, Think-Pair-Share, Create Representations, Look for a Pattern One sunny day Sen T. Pede and his friend Lady Bug start out from the elm tree and move toward a rose bush that is 45 feet away. Sen crawls at 5 feet per minute and Lady crawls at 3 feet per minute. 1. Model with mathematics. Use the diagram below to show where each critter is exactly three minutes after they start their journey. Place the letter S at Sen’s location and the letter L at Lady’s location. 0 5 L S 10 15 20 25 30 35 40 45 © 2014 College Board. All rights reserved. 2. Complete this table to show how far Sen and Lady are from the elm tree for each time value. Time Since Leaving Elm Tree (min.) 0 1 2 3 4 5 Sen’s Distance from Elm Tree (ft) Lady’s Distance from Elm Tree (ft) 3. Describe a pattern you see in Sen’s row of the table. Use words and mathematical symbols. 4. Sen crawls d feet in m minutes. Write an equation using d and m to represent the relationship between how long Sen has been traveling and how far he has travelled from the elm tree. Activity 16 • Expressions and Equations 199 Lesson 16-1 Representing Relationships Activity 16 continued My Notes 5. How far will Sen be from the elm tree after seven minutes? Use your equation to justify your response. 6. How long will it take Sen to crawl 40 feet? Use your equation to justify your response. 7. Make use of structure. Describe a pattern you see in Lady’s row in the table. You may use words and mathematical symbols. 8. Lady crawls d feet in m minutes. Write an equation to represent the relationship between how long Lady has been traveling and how far she has travelled from the elm tree. 9. How far will Lady be from the elm tree after eight minutes? Use your equation to help justify your response. 10. a. How long will it take Lady to crawl 36 feet? Use your equation to justify your response. Check Your Understanding 11. a. Lee walks his dog every morning before school. He travels 4 feet per second. Make a table to show how far Lee travels during the first 5 minutes of his walk. b. Using the table created for Lee walking his dog, write an equation for this relationship if Lee travels d feet in m minutes. c. How far will Lee travel in the first 15 minutes of his walk? 12. a. Joey can ride his skateboard 50 feet every minute. Write an equation that determines his distance d in m minutes. b. How far will Joey ride his skateboard in 1 hour? 13. a. Sam can read 3 books each month. Write an equation that determines how many books b he reads every month m. b. Make sense of problems. How many books can Sam read in 2 years? 200 Unit 3 • Expressions and Equations © 2014 College Board. All rights reserved. b. After Sen reaches the rose bush, how long will he wait for Lady to arrive? Explain how you determined your answer.