The emphasis of this unit is for students to develop a solid understanding of the connection between multiplication and division. Students recognize that multiplication strategies can be used to make sense of and solve division problems. This unit builds on studentsâ€™ abilities to solve problems with equal groups and arrays and offers support for future success with measurement problems. Students may likely struggle with forming groups and arrays correctly.
Key Concepts:
 Quotients of whole numbers can be interpreted as a number of shares (partitive or distribution division) and a number of groups (quotative or measurement division).
 We can use drawings and equations to represent and solve multiplication and division situational problems involving equal groups, arrays, and measurement quantities.
 We can use the inverse relationship between multiplication and division and properties of the operations can be applied to multiply within 100.
Prior Knowledge Needed:
 A rectangle can be partitioned into rows and columns of samesized squares; Grade 2, Unit 13; 2.G.A.2
 We can use skipcounting or pairing objects to determine whether there is an odd or even number in a group; Grade 2, Unit 12; 2.OA.C.3
Units on the Horizon:
 Grade 3  Unit 9, Developing strategies for multiplication and division
 Grade 3  Unit 15, Demonstrating computational fluency in problem solving
 Grade 4  Unit 7, Solving problems using multiplicative comparison
Lessons

Lesson objective: Understand that quotients can be interpreted as equal groups or shares. Extend understanding that division problems find an unknown factor based on the relationship between multiplication and division. Students bring prior knowledge of...

Lesson objective: Divide to find equal groups or shares. This lesson helps to build fluency with whole number division. Arrays are used here because they support using structure and organization to make equal groups. This work develops students' underst...

Lesson objective: Connect finding quotients to realworld situations and apply use of equal groups and sharing to both multiplication and division situations. This lesson provides an opportunity for students to apply their knowledge and understanding of...

Lesson objective: Understand that drawings and equations can be used to represent and solve problems involving multiplication and division. This lesson will extend the concept that multiplication and division are inverse operations, connect multiplicati...

Lesson objective: Divide using drawings or equations to help represent and solve the problems. This lesson helps to build procedural skill with using drawings and equations to represent and solve division situations. Equal groups, arrays, number lines, ...

Lesson objective: Solve problems involving division using multiplication strategies, models and equations. This lesson provides an opportunity for students to apply their knowledge and understanding of division to a reallife situation. Students are ask...

Lesson objective: Understand that multiplication and division are inverse operations. Extend understanding that multiplication can be used to solve division problems. Division problems have an unknown factor. Students bring prior knowledge of products o...

Lesson objective: Multiply and divide within 100, using strategies such as the relationship between multiplication and division as inverse operations. This lesson helps to build fluency with multiplying and dividing within 100. Arrays are used here beca...

Lesson objective: Divide using the relationship between multiplication and division. This lesson helps to build fluency with division. Arrays are used here because they support student understanding of how to write an equation from a model using multipl...

Lesson objective: Apply understanding of the relationship between multiplication and division. This lesson provides an opportunity for students to apply their knowledge and understanding of division to a reallife situation. Students are asked to find t...
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