This document provides lesson materials on the relationship between multiplication and division for students. It includes: - An opening exercise asking students to draw pictorial representations of division and multiplication problems using tape diagrams. - An exploratory challenge where students work in groups to determine number sentences showing the relationship between multiplication and division, using tape diagrams to support their findings. - A problem set with questions filling in blanks in multiplication and division expressions and asking how the relationship between multiplication and division is similar to that of addition and subtraction.

1. Lesson 2: The Relationship of Multiplication and Division
Date: 3/10/14 S.4
4
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 2
Lesson 2: The Relationship of Multiplication and Division
Classwork
Opening Exercise
Draw a pictorial representation of the division and multiplication problems using a tape diagram.
a. 8 ÷ 2
b. 3 × 2
Exploratory Challenge
Work in pairs or small groups to determine number sentences to show the relationship between multiplication and
division. Use tape diagrams to provide support for your findings.
1. Create two number sentences to show the relationship between multiplication and division. These number
sentences should be identities and include variables. Use the squares to develop these number sentences.
2. Write your number sentences on large paper. Show a series of tape diagrams to defend each of your number
sentences.
Use the following rubric to critique other posters.
1. Name of group you are critiquing.
2. Number sentence you are critiquing.
3. Whether or not you believe their number sentences are true and reasons why.

2. Lesson 2: The Relationship of Multiplication and Division
Date: 3/10/14 S.5
5
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 2
Problem Set
1. Fill in each blank.
a. 132 ÷ 3 × 3 = _____
b. _____ ÷ 25 × 25 = 225
c. 56 × _____ ÷ 8 = 56
d. 452 × 12 ÷ _____ = 452
2. How are the relationships of addition and subtraction similar to the relationship of multiplication and division?