1. Course 2, Lesson 4-6 Use the draw a diagram strategy to solve Exercises 1-4 1. The Rockwells have driven 180 miles, which is about of the way to their family reunion. How far is the total distance to their family reunion? 2. Tomi is eating a candy bar that is 12 inches long. She has already eaten of the candy bar. How many inches of the candy bar does she have left? 3. Toki has filled or 12 ounces of his glass. Find the total capacity of his glass. 4. If an 8-ounce serving of yogurt provides 10% of the daily requirement for calcium, what percent of the calcium requirement would a 20-ounce serving provide?

2. Course 2, Lesson 4-6 Answers 1. 270 miles 2. 3. 16 4. 25%

3. WHAT happens when you add, subtract, multiply, and divide fractions? The Number System Course 2, Lesson 4-6

4. Course 2, Lesson 4-6 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. The Number System 7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real- world contexts. 7.NS.2c Apply properties of operations as strategies to multiply and divide rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.

5. Course 2, Lesson 4-6 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. The Number System 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Mathematical Practices 1Make sense of problems and persevere in solving them. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics.

6. To multiply fractions To multiply mixed numbers Course 2, Lesson 4-6 The Number System

7. Course 2, Lesson 4-6 The Number System Words To multiply fractions, multiply the numerator and multiply the denominators. Examples Numbers Algebra

8. Course 2, Lesson 4-6 The Number System

9. Course 2, Lesson 4-6 The Number System

10. Course 2, Lesson 4-6 The Number System

11. Course 2, Lesson 4-6 The Number System

12. Course 2, Lesson 4-6 The Number System

13. Course 2, Lesson 4-6 The Number System

14. Course 2, Lesson 4-6 The Number System

15. Course 2, Lesson 4-6 The Number System

16. Course 2, Lesson 4-6 The Number System

17. Course 2, Lesson 4-6

19. How did what you learned today help you answer the WHAT happens when you add, subtract, multiply, and divide fractions? Course 2, Lesson 4-6 The Number System

20. How did what you learned today help you answer the WHAT happens when you add, subtract, multiply, and divide fractions? Course 2, Lesson 4-6 The Number System Sample answers: When you multiply fractions, multiply the numerators and multiply the denominators. When you multiply mixed numbers, rename the mixed numbers as improper fractions.

21. Find. Write your answer in simplest form. Course 2, Lesson 4-6 Ratios and Proportional RelationshipsThe Number System