1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Grade 5 – Module 4

2. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objectives Examine the development of mathematical understanding across Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions. Explore specific lessons to support planning. Review key mathematical models and instructional strategies to support student understanding.

3. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Curriculum Overview of A Story of Units

4. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Agenda Module 4 Overview Lesson Study by topics – Demonstration and Practice Topic B Topic C Topic E Topic G Module Review

5. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview Students extend their understanding of Multiplication and Division of Fractions and Decimal Fractions.

6. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Demo: Fractions as Division Lesson 3 Objective: Interpret a fraction as division. A baker poured 4 kilograms of oats equally into 3 bags. What is the weight of each bag of oats? Lesson 3, CD, Problem 1.

7. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Practice If the baker doubles the number of kilograms of oats to be poured equally into 3 bags, what is the weight Of each bag of oats? Lesson 3, CD, Problem 2.

8. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Demo: Fractions as Division Lesson 4 Objective: Use tape diagrams to model fractions as division. 5 tons of gravel is equally divided between 4 dump trucks. How much gravel is in one dump truck? Lesson 4, CD, Problem 2.

9. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Practice A 3m ribbon is cut into 4 equal pieces to make flowers. What is the length of each piece? Lesson 4, CD, Problem 3.

10. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Practice Lesson 5 Objective: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. Browse the CD & Problem Set. Study the Problem 7 in the Problem Set. Lesson 5, CD and Problem Set.

11. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Practice The Calef family likes to paddle along the Susquehanna River. a). They paddled the same distance each day over the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram. b). If the Calef’s went half their daily distance each day, but extended their trip to twice as many days, how far would they travel? Lesson 5, CD, Problem 7.

12. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Practice Lesson 5, CD, Problem 7.

13. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic B Debrief What’s the main focus of Topic B? Students learn to think of a division problem as a fraction, and that a fraction represents a division problem. They use visual models such as the tape diagram, and the standard division algorithm.

14. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Demo: Multiplication of a Whole Number by a Fraction Lesson 6, CD, Problem 1.

15. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Practice Lesson 6, CD, Problem 4.

16. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Demo: Multiplication of a Whole Number by a Fraction Lesson 7, CD, Problem 1.

17. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Practice Lesson 7, CD, Problem 4.

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Demo: Multiplication of a Whole Number by a Fraction Lesson 8, CD, Problem 1.

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Practice Lesson 8, CD, Problem 3.

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Practice Lesson 9 Objective: Find a fraction of a measurement and solve word problems. Browse the CD. Study Problem 1. Lesson 9, CD, Problem 1.

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic C Debrief What is the main focus of Topic C? Students interpret finding a fraction of a set as multiplication of a whole number by a fraction.

22. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Demo: Multiplication of a Fraction by a Fraction Lesson 13, CD, Problem 2.

23. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Practice Lesson 13, CD, Problem 3.

24. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Demo: Multiplication of a Fraction by a Fraction Lesson 14, CD, Problem 1.

25. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Practice Lesson 14, CD, Problem 3.

26. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Demo: Demo: Multiplication of a Fraction by a Fraction Lesson 15, CD, Problem 1 and 3a.

27. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Practice Lesson 15, CD, Problem 3c.

28. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Demo: Multiplication of a Fraction by a Fraction Lesson 16, CD, Problem 2.

29. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Practice Lesson 16, CD, Problem 1.

30. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic E Debrief What is the main focus in Topic E? Students learn to multiply a fraction by a fraction, using visual models to enhance conceptual understanding.

31. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Demo: Division of Fractions and Decimal Fractions Lesson 25, CD, Problem 1.

32. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Practice Lesson 25, CD, Problem 2.

33. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Demo: Division of Fractions and Decimal Fractions Lesson 26 Objective: Divide a unit fraction by a whole number. Nolan has pan of brownies. He gives them to his 3 friends to share equally. How many pans of brownies will each friend get? Lesson 26, CD, Problem 1.

34. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Practice Lesson 26, CD, Problem 2.

35. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Practice Lesson 31 Objective: Divide decimal dividends by non‐unit decimal divisors. Browse the CD. Study the Problem Set. Lesson 31, CD

36. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic G Debrief What is the mainfocus for Topic G? Students learn to divide whole numbers by fractions and fractions by whole numbers.

37. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Summary of Module 4 37 Topic A: Line Plots of Fraction Measurements Topic B: Fractions as Division Topic C: Multiplication of a Whole Number by a Fraction Topic D: Fraction Expressions and Word Problems Topic E: Multiplication of a Fraction by a Fraction Topic F: Multiplication with Fractions and Decimals as Scaling and Word Problems Topic G: Division of Fractions and Decimal Fractions Topic H: Interpretation of Numerical Expressions

38. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaway Turn and Talk: What questions were answered for you? What new questions have surfaced?

39. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Ideas of Module 4. Operations of fractions can be supported by a variety of visual models: tape diagrams, arrays, folding paper. Conceptual understanding is essential.