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Distributive Property




 


Videos and solutions to help Grade 3 students learn how to use the distributive property as a strategy to multiply and divide using units of 6 and 7.

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



New York State Common Core Math Module 3, Grade 3, Lesson 6

Application Problem

Mabel cuts 9 pieces of ribbon for an art project. Each piece of ribbon is 7 centimeters long. What is the total length of the pieces of ribbon that Mabel cuts?

Note: This problem reviews multiplication using units of seven. It is the same problem that is used in the first example in the concept development. Here it is given a context, while in the Concept Development it is not because the focus shifts to using the distributive property.

Concept Development

Part 1: Apply the distributive property to multiply using units of 6 and 7.

Part 2: Use addition number bonds to apply the distributive property to divide using units of 6 and 7.


Use the break apart and distribute strategy with number bonds to evaluate 48 ÷ 6.





Lesson 6 Homework

1. Label the tape diagrams. Then fill in the blanks below to make the statements true.
a. 6 × 7 = _____
(6 × 7) = (5 + 1) × 7
= (5 × 7) + (1 × 7)
= 35 + ______
= ______
b. 7 × 7 =_____
(7 × 7) = (5 + 2) × 7
= (5 × 7) + (2 × 7)
= 35 + ______
= ______
2. Break apart 54 to solve 54 ÷ 6.
54 ÷ 6 = (30 ÷ 6) + (_____ ÷ 6)
= 5 + ________
= __________

3. Break apart 56 to solve 56 ÷ 7.
56 ÷ 7 = (_____ ÷ _____) + (_____ ÷ _____)
= 5 + ________
= __________
4. Forty-two third grade students sit in 6 equal rows in the auditorium. How many students sit in each row? Show your thinking.
5. Ronaldo solves 7 × 6 by thinking of it as (5 × 7) + 7. Is he correct? Explain Ronaldo’s strategy.



 

Lesson 6 Homework

1. Label the tape diagrams. Then fill in the blanks below to make the statements true.
c. 8 × 7 = (5 + _____) × 7
= (5 × 7) + (____ × 7)
= 35 + ______
= ______
d. 9 × 7 = (5 + _____) × 7
= (5 × 7) + (____ × 7)
= 35 + ______
= ______
3. Break apart 56 to solve 56 ÷ 7.
56 ÷ 7 = (_____ ÷ _____) + (_____ ÷ _____)
= 5 + ________
= __________
5. Ronaldo solves 7 × 6 by thinking of it as (5 × 7) + 7. Is he correct? Explain Ronaldo’s strategy.




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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