# Interpret Products of Whole Numbers

# Operations & Algebraic Thinking - 3rd Grade

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

Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.

*For example, describe a context in which a total number of objects can be expressed as 5 × 7*.

**Teacher Notes**

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

**Student Knowledge Goals**

I know what multiplication means.

I know what the numbers in multiplication problems represent.

I know that an equal number of items in groups represents multiplication.

I know multiplication is repeated addition.

I can interpret the meaning of the product and the factors of a multiplication equation.

**Vocabulary**

equal groups

factor

groups

multiplication

product

repeated addition

**Lessons**

Engage NY Module 1 A-1 – Understand *equal groups* of as multiplication.

Engage NY Module 1 A-2 – Relate multiplication to the array model.

Engage NY Module 1 A-3 – Interpret the meaning of factors ─ the size of the group or the number of groups.

Learn Zillion Lesson - Recognize multiplication by examining equal groups

**Student Video Lessons**

Learn Zillion – Interpret products of whole numbers using pictures, arrays, and number lines

Study Jams - Multiplication and equal groups

**Online Problems and Assessments**

Khan Academy – Questions and Video Lessons

Multiplication sentences

Relate addition and multiplication

**Online Games**

Represent and solve problems involving multiplication and division

**Printables**

Represent and solve problems involving multiplication and division

Assessment Task 1

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Performance Task 1

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Performance Task 3