1. Akira earns $20 for every dog he washes. 2.

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Presentation transcript:

1. Akira earns $20 for every dog he washes. 2. Determine whether the situations represent proportional relationships. Explain. 1. Akira earns $20 for every dog he washes. 2. 3. Course 2, Chapter 1 PSI

1. yes; For each dog he washes, his earnings increase $20. ANSWERS 1. yes; For each dog he washes, his earnings increase $20. 2. no; The cost per pound is not equal. 3. yes; The cost of rulers increases the same amount Course 2, Chapter 1 PSI

two objects are proportional? Ratios and Proportional Relationships HOW can you show that two objects are proportional? Course 2, Chapter 1 PSI

Mathematical Practices Ratios and Proportional Relationships 7.RP.2 Recognize and represent proportional relationships between quantities. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Course 2, Chapter 1 PSI Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

The Four-Step problem-solving strategy to solve real-world problems Ratios and Proportional Relationships The Four-Step problem-solving strategy to solve real-world problems Course 2, Chapter 1 PSI

Case #3 Financial Literacy Ratios and Proportional Relationships Case #3 Financial Literacy Terry opened a savings account in December with $150 and deposited $30 each month beginning in January. What is the value of Terry’s account at the end of July? Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 1 PSI

Case #4 STEM Read the problem. What are you being asked to find? Ratios and Proportional Relationships Case #4 STEM About how many centimeters longer is the average femur than the average tibia? (Hint: 1 inch 2.54 centimeters) Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 1 PSI

Case #5 Patterns Read the problem. What are you being asked to find? Ratios and Proportional Relationships Case #5 Patterns Numbers that can be represented by a triangular arrangement of dots are called triangular numbers. The first four triangular number are shown. Describe the pattern in the first four numbers. Then list the next three triangular numbers. Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 1 PSI

Ratios and Proportional Relationships Case #6 School Mr. Norman has agreed to drive 4 students to their gymnastics practice. If one student rides in the front seat and three students ride in the back, in how many ways can the 4 students be arranged in the car? Read the problem. What are you being asked to find? What is your strategy to solve this problem? Use your problem-solving strategy to solve the problem. Does your answer make sense? Use information from the problem to check your answer. Course 2, Chapter 1 PSI