Math 3: Module 9: Properties of Multiplication - Course Guide

Module Overview:

In this module, students will show that factors can be multiplied in any order using arrays, show that numbers can be broken apart using arrays, and show that any number of factors can be multiplied in any order. Students will use a number line to find a missing factor in a multiplication equation and calculate products using an input/output table.

Module Materials:

Lesson # Lesson Title Material(s)
1 The Commutative Property of Multiplication crayons or colored pencils
pen or pencil
2 The Distributive Property of Multiplication scissors
glue
crayons or colored pencils
pen or pencil
3 The Associative Property of Multiplication crayons or colored pencils
pen or pencil
4 Missing Factors crayons or colored pencils
pen or pencil
5 Multiplication Input and Output Tables crayons or colored pencils
pen or pencil

Module Objectives:

Lesson # Lesson Title Objective(s)
1 The Commutative Property of Multiplication
  1. Show that factors can be multiplied in any order using arrays.
2 The Distributive Property of Multiplication
  1. Show that numbers can be broken apart using arrays.
3 The Associative Property of Multiplication
  1. Show that any number of factors can be multiplied in any order.
4 Missing Factors
  1. Use a number line to find a missing factor in a multiplication equation.
5 Multiplication Input and Output Tables
  1. Calculate products using an input/output table.

Module Key Words:

Key Words
commutative property
multiplication
distributive property
distributing
associative property
number line
missing factor
input/output table

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 The Commutative Property of Multiplication 5 Hands-On
2 The Distributive Property of Multiplication 5 Hands-On 
3 The Associative Property of Multiplication 5 Hands-On
4 Missing Factors 5 Hands-On
5 Multiplication Input and Output Tables 5 Hands-On 

Learning Coach Notes:

None

Module Guiding Questions:

When a student starts a lesson ask them questions to check for prior knowledge and understanding and to review concepts being taught. At the end of the lesson ask the questions again to see if their answer changes.

Lesson Title Question
The Commutative Property of Multiplication
  1. What is the commutative property of multiplication?
The Distributive Property of Multiplication
  1. What is the distributive property of multiplication?
The Associative Property of Multiplication
  1. What is the associative property of multiplication?
Missing Factors
  1. How can we use a number line to help us find a missing factor?
Multiplication Input and Output Tables
  1. How can an input and output table help us find a product?

Module Video Questions:

When a student watches a video take time to ask them questions about what they watched. Suggested questions for the videos in this module are listed here. Suggestion: Have the student watch the entire video first all the way through. Then have them watch the video a second time, as they watch it pause the video and ask the questions.

Lesson Title Video Question
The Commutative Property of Multiplication Commutative Ticket Count
  1. How can you use the commutative property and an array to solve a multiplication sentence?
The Distributive Property of Multiplication Distribute to Ride
  1. How can you use the distributive property to solve multiplication sentences?
The Associative Property of Multiplication Associative Adventure Prizes
  1. How can you use the associative property to solve multiplication sentences?
Missing Factors Missing Factor Snacks
  1. How can you use a number line to find the missing factor in a multiplication sentence?
Multiplication Input and Output Tables Gift Shop Multiplication
  1. How can you use input/output tables to solve multiplication equations?

Module Suggested Read Aloud Books:

Take time to read to your student or have them read aloud to you. Read a different book each day. While reading the book point out concepts being taught. You may purchase these books or find them at your local library. Suggested things to discuss while reading the book:

  • What is the main idea?
  • What are three things new you learned?
  • How does this book relate to what you are learning about?

# Book Author Lexile Level

Module Outing:

Take some time to apply what your student is learning to the real world. Suggested outings are below.

# Outing