Multiplication Properties Rock!

Mathematics Grades 4th Grade 2:51 Video
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Lesson Description

Learn about the commutative, associative, distributive, identity, and zero properties of multiplication through a fun and engaging song and activities.

Video Resource

The Properties of Multiplication Song | 3rd Grade - 4th Grade

Math Songs by NUMBEROCK

Duration: 2:51
Watch on YouTube

Key Concepts

  • Commutative Property of Multiplication
  • Associative Property of Multiplication
  • Distributive Property of Multiplication
  • Identity Property of Multiplication
  • Zero Property of Multiplication

Learning Objectives

  • Students will be able to identify and explain the commutative property of multiplication.
  • Students will be able to identify and explain the associative property of multiplication.
  • Students will be able to identify and explain the distributive property of multiplication.
  • Students will be able to identify and explain the identity property of multiplication.
  • Students will be able to identify and explain the zero property of multiplication.
  • Students will be able to apply the properties of multiplication to solve problems.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they already know about multiplication. Discuss different strategies they use to solve multiplication problems. Introduce the idea that there are special 'rules' called properties that can help make multiplication easier.
  • Video Viewing (5 mins)
    Play the "The Properties of Multiplication Song" from NUMBEROCK. Encourage students to sing along and pay attention to the examples given for each property.
  • Property Breakdown (15 mins)
    Discuss each property of multiplication, writing examples on the board. * **Commutative Property:** Explain that the order of factors doesn't change the product (e.g., 2 x 3 = 3 x 2). * **Associative Property:** Explain that the grouping of factors doesn't change the product (e.g., (2 x 3) x 4 = 2 x (3 x 4)). * **Distributive Property:** Explain how to split a factor and multiply addends separately (e.g., 4 x (3 + 5) = (4 x 3) + (4 x 5)). * **Identity Property:** Explain that any number multiplied by 1 equals that number (e.g., 7 x 1 = 7). * **Zero Property:** Explain that any number multiplied by 0 equals 0 (e.g., 9 x 0 = 0).
  • Practice Problems (15 mins)
    Provide students with various multiplication problems and ask them to identify which property is being used or could be used to solve the problem. Include problems that require applying the distributive property. Work through some examples together as a class, then have students work independently or in pairs.
  • Wrap-up (5 mins)
    Review the properties of multiplication. Ask students to explain each property in their own words. Replay the song as a fun way to reinforce the concepts learned.

Interactive Exercises

  • Property Sort
    Create cards with multiplication equations on them. Have students sort the cards into groups based on the property of multiplication that is being demonstrated.
  • Distributive Property Puzzle
    Give students problems where they need to apply the distributive property, but with missing numbers. They must fill in the missing numbers to make the equation true. For instance: 3 x (4 + __) = (3 x 4) + (3 x 2)

Discussion Questions

  • Can you think of a time when using the commutative property made a multiplication problem easier?
  • How does the distributive property help you solve larger multiplication problems?
  • Why is understanding the properties of multiplication important?
  • Explain in your own words what the Zero Property means.

Skills Developed

  • Problem-solving
  • Critical thinking
  • Mathematical reasoning
  • Application of mathematical properties

Multiple Choice Questions

Question 1:

Which property says you can multiply factors in any order?

Correct Answer: Commutative Property

Question 2:

Which property says you can group factors in any order?

Correct Answer: Associative Property

Question 3:

Which property involves splitting a factor and multiplying the addends?

Correct Answer: Distributive Property

Question 4:

What is 5 x 1?

Correct Answer: 5

Question 5:

Which property says that any number multiplied by 1 is that number?

Correct Answer: Identity Property

Question 6:

What is 8 x 0?

Correct Answer: 0

Question 7:

Which property says that any number multiplied by 0 equals 0?

Correct Answer: Zero Property

Question 8:

Which property is shown in the following equation: (2 x 4) x 3 = 2 x (4 x 3)?

Correct Answer: Associative

Question 9:

Which property is shown in the following equation: 7 x 9 = 9 x 7?

Correct Answer: Commutative

Question 10:

Which property is shown in the following equation: 6 x (2 + 3) = (6 x 2) + (6 x 3)?

Correct Answer: Distributive

Fill in the Blank Questions

Question 1:

The ___________ Property says that the order in which you multiply numbers doesn't change the answer.

Correct Answer: Commutative

Question 2:

The ___________ Property lets you group numbers differently when multiplying without changing the answer.

Correct Answer: Associative

Question 3:

The ___________ Property helps you solve problems like 6 x 7 by breaking 7 into (5 + 2).

Correct Answer: Distributive

Question 4:

Any number multiplied by ____ equals that same number.

Correct Answer: 1

Question 5:

The ___________ Property says that any number times 1 equals that number.

Correct Answer: Identity

Question 6:

Any number multiplied by _____ equals zero.

Correct Answer: 0

Question 7:

The ___________ Property says that any number times 0 equals 0.

Correct Answer: Zero

Question 8:

5 x (2 + 3) = (5 x 2) + (5 x 3) is an example of which property? ___________

Correct Answer: Distributive

Question 9:

4 x 1 = 4 demonstrates the ___________ Property.

Correct Answer: Identity

Question 10:

9 x 0 = 0 demonstrates the ___________ Property.

Correct Answer: Zero

Educational Standards

4.N.2.5:Use strategies and algorithms (e.g., mental strategies, standard algorithms, partial quotients, repeated subtraction, the commutative, associative, and distributive properties) based on knowledge of place value, equality, and properties of operations to divide a 3-digit dividend by a 1-digit whole number divisor, with and without remainders. 4.A.2.1:Use the relationships between multiplication and division with the properties of multiplication to solve problems and find values for variables that make number sentences true.

Teaching Materials

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