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Distributive and Commutative Properties

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Lesson Plans and Worksheets for Grade 3
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More Lessons for Grade 3
Common Core For Grade 3

Videos, examples, solutions, and lessons to help Grade 3 students learn how to apply the distributive and commutative properties to relate multiplication facts 5 × n + n to 6 × n and n × 6 where n is the size of the unit.

Common Core Standards: 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.6

Application Problem

Jocelyn says 7 fives has the same answer as 3 sevens + 2 sevens.
Is she correct? Explain why or why not.

Note: This problem reviews the commutative property from Lesson 1, and also previews the first fact used in the Concept Development to ensure all students’ automaticity with the answer.

Concept Development

What are 5 sevens, 5 × 7, and 7 × 5 all equal to? 35.

Compare 5 × 7 and 6 × 7. What is the difference between them?
6 × 7 has one more group of 7 than 5 × 7.

Lesson 2 Homework

1. Each box has a value of 9.
Unit form: _____________
Facts: 5 × ____ = ____ × 5
Total = ____

Unit form: 6 nines = ______ nines + ______ nine
= 45 + ______
= ______
Facts: ______ × ______ = ______
______ × ______ = _______

2. There are 6 blades on each windmill. How many total blades are on 7 windmills? Use a fives fact to solve.
3. Juanita organizes her magazines into 3 equal piles. She has a total of 18 magazines. How many magazines are in each pile?
4. Markuo spends $27 on some plants. Each plant costs $9. How many plants does he buy?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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