# Unit 4: Relating Multiplication to Division | 3rd Grade

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This unit introduces students to the concept of division and its relationship to multiplication. Previously, students learned that multiplication can be understood in terms of equal-size groups. The expression 5 x 2 can represent the total number of objects when there are 5 groups of 2 objects, or when there are 2 groups of 5 objects. Here, students make sense of division also in terms of equal-size groups. For instance, the expression 30 ÷ 5 can represent putting 30 objects into 5 equal groups or putting 30 objects into groups of 5. They see that, in general, dividing can mean finding the size of each group, or finding the number of equal groups. Students use the relationship between multiplication and division to develop fluency with single-digit multiplication and division facts.

This resource includes both student and teacher materials.

Number of Lessons: 21 and 1 optional

Lesson Time: Approximately 60 minutes. Please note that each lesson is designed for one instructional block and may be divided into shorter or longer segments based on teacher pacing and student needs.

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## Description

 What you’ll find in this resource: Lesson 1      How Many Groups?…………………………………… 1 Lesson 2      How Many in Each Group?…………………………. 4 Lesson 3      Division Situation Drawings………………………. 8 Lesson 4      Interpret Division Expressions………………….. 12 Lesson 5      Write Division Expressions……………………….. 16 Lesson 6      Division as an Unknown Factor…………………. 20 Lesson 7      Relate Multiplication and Division……………… 23 Lesson 8      Relate Quotients to Familiar Products……….. 26 Lesson 9      Patterns in the Multiplication Table………….. 29 Lesson 10    Explore Multiplication Strategies w/ Rectangles……. 32 Lesson 11    Multiplication Strategies on Ungridded Rectangles….. 35 Lesson 12    Multiply Multiples of Ten…………………………. 39 Lesson 13    Solve Problems With Equal Groups…………… 43 Lesson 14    Ways to Represent Multiplication of Teen Numbers  46 Lesson 15    Equal Groups, Larger Numbers…………………. 49 Lesson 16    Multiply Numbers Larger than 20……………… 52 Lesson 17    Use the Four Operations to Solve Problems.. 58 Lesson 18    Larger Numbers in Equal Groups………………. 62 Lesson 19    Ways to Divide Larger Numbers………………… 65 Lesson 20    Strategies for Dividing…………………………….. 69 Lesson 21    Solve Problems Using the Four Operations… 73 Lesson 22    School Community Garden (optional)……….. 77 Cumulative Practice Problems Section B:    Relate Multiplication and Division……………… 81 Section C:   Multiplying Larger Numbers……………………. 84 Section D:   Dividing Larger Numbers………………………… 89

Earlier units in this series:

Please note: This resource was created using a Creative Commons source and attribution has been given. As with all resources, all-access members may download at no charge. Non-members are charged a small, non-commercial fee simply to cover our site’s storage and data transfer charges for this resource.

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