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Teaching 3.OA.A.1 – Interpret Products of Whole Numbers


multiplication-groupsOperations & 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.

equal groups
repeated addition

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

Represent and solve problems involving multiplication and division
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Performance Task 1
Performance Task 2
Performance Task 3


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