# Operations & Algebraic Thinking – 3rd Grade

**Represent and solve problems involving multiplication and division**.

Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each.

*For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8*.

**Teacher Notes**

Making sense of the meaning of division and quotients of whole numbers is critical and lays the foundation for students as they learn more complex mathematical concepts.

**Student Knowledge Goals**

I know what the numbers in a division problem represent.

I know a dividend is the number of objects to be shared equally.

I know a divisor is the number of equal shares or the number in each equal share.

I know a quotient is an answer to a division problem.

I can use common division situations to help them understand the context of a division problem.

I can interpret quotients of whole numbers.

**Vocabulary**

dividend

division

divisor

equal shares

groups

partition

quotient

**Lessons**

Engage NY Module 1 B-4 – Understand the meaning of the unknown as the size of the group in division.

Engage NY Module 1 B-5 – Understand the meaning of the unknown as the number of groups in division.

Engage NY Module 1 B-6 – Interpret the unknown in division using the array model.

Learn Zillion Lesson – Relate multiplication and division to the array model using equal groups.

**Student Video Lessons**

Learn Zillion – Interpreting whole-number quotients of whole numbers

Virtual Nerd – Interpret whole-number quotients of whole numbers

Study Jams – Relate multiplication and division

**Online Problems and Assessments**

Khan Academy – Questions and Video Lessons

Division word problems – facts to 10

Complete the division table

**Online Games**

Represent and solve problems involving multiplication and division

**Printables**

Represent and solve problems involving multiplication and division

Assessment Task 2

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Performance Task 1

Performance Task 2

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