Module 8: Multiplying Fractions-Math 5B - Course Guide

Module Overview:

In this module, students will learn about multiplying whole numbers, mixed numbers, and fractions, and solving and creating their own word problems. They will learn about how to apply the commutative property to mixed products, finding the area of a shape with fractional sides, finding area using multiplication, and learn how to find the perimeter. Students will define the identity property of multiplication, apply the identity of multiplication to fractions, recognize that multiplying a whole number by a fraction less than 1 results in a product smaller than that whole number, and recognize that multiplying a whole number by a fraction greater than 1 results in a product greater than that whole number. Finally, students will Identify the solution sets of inequalities, graph the solution sets of inequalities on a number line, and compare the products of two multiplication sentences to determine which is greater.

Module Materials:

Lesson # Lesson Title Material(s)
1 Multiplying Improper Fractions None
2 Creating and Solving Word Problems None
3 The Commutative Property 8 pennies;
4 Area of Squares and Rectangles None
5 Area by Multiplication None
6 Perimeter None
7 Identity Property of Multiplication None
8 Multiplying Fractions Less Than One and Greater Than One None
9 Inequalities None
10 Comparing Products None

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Multiplying Improper Fractions
  1. Multiply a whole number by a fraction.
  2. Multiply mixed numbers.
  3. Convert between mixed numbers and improper fractions.
2 Creating and Solving Word Problems
  1. Use the steps of problem-solving to solve one- and two-step word problems.
  2. Use fractions and math operations to solve word problems.
3 The Commutative Property
  1. Apply the commutative property to mixed products.
4 Area of Squares and Rectangles
  1. Use tiles to find the area and perimeter of a rectangle with fractional side-lengths.
5 Area by Multiplication
  1. Use formulas to solve area word problems involving mixed numbers and fraction products.
6 Perimeter
  1. Use tiles to find perimeter.
  2. Calculate the perimeter of shapes with fractional sides.
7 Identity Property of Multiplication
  1. Define the identity property of multiplication.
  2. Apply the identity of multiplication to fractions.
8 Multiplying Fractions Less Than One and Greater Than One
  1. Recognize that multiplying a whole number by a fraction less than 1 results in a product smaller than that whole number.
  2. Recognize that multiplying a whole number by a fraction greater than 1 results in a product greater than that whole number.
9 Inequalities
  1. Identify the solution sets of inequalities.
  2. Graph the solution sets of inequalities on a number line.
10 Comparing Products
  1. Compare the products of two multiplication sentences to determine which is greater.

Module Key Words:

Key Words
multiply
whole number
fraction
mixed number
improper fraction
word problem
story problems
multi-step
commutative property
multiplication
area
length
width
square
rectangle
perimeter
sum
identity property of multiplication
identity property of addition
product
inequality
number line
less than
greater than
equal
solution set
variable
compare

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Multiplying Improper Fractions 8 Assignment
8 Multiplying Fractions Less Than One and Greater Than One 7 Assignment
10 Comparing Products 5 Assignment

Learning Coach Notes:

Lesson # Lesson Title Notes
1 Multiplying Improper Fractions Have your student describe the steps involved in multiplying improper fractions and mixed numbers in their math notebook.
2 Creating and Solving Word Problems In their math notebook, have your student describe the steps to solving word problems.
3 The Commutative Property In their math notebook, have your student describe the commutative property and the operations that use the commutative property.
4 Area of Squares and Rectangles In their math notebook, have your student describe how to determine an object's area, including if the sides are fractional.
5 Area by Multiplication In their math notebook, have your student describe how to find the area using multiplication and the steps to finding the area of fractional sides using multiplication.
6 Perimeter In their math notebook, have your student explain how to find perimeter, including finding the perimeter with fractional sides.
7 Identity Property of Multiplication In their math notebook, have your student describe the identity property of multiplication and how to apply it when multiplying fractions.
8 Multiplying Fractions Less Than One and Greater Than One In their math notebook, have your student describe how to multiply fractions less than one and greater than one.
9 Inequalities In their math notebook, have your student describe inequalities, variables, and solution sets.
10 Comparing Products In their math notebook, have your student describe how to compare products of fractions and how to compare areas.

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
Multiplying Improper Fractions
  1. How do you multiply improper fractions?
Creating and Solving Word Problems
  1. What are the basic steps of solving a word problem?
The Commutative Property
  1. What is the commutative property?
Area of Squares and Rectangles
  1. How do you determine the area of an object?
Area by Multiplication
  1. How can you use multiplication to calculate area?
Perimeter
  1. What is perimeter?
Identity Property of Multiplication
  1. What is the identity property of multiplication?
Multiplying Fractions Less Than One and Greater Than One
  1. What happens when you multiply a whole number by a fraction that is less than 1?
Inequalities
  1. What is an inequality?
Comparing Products
  1. How do you compare products that involve fractions?

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
Multiplying Improper Fractions Multiplying Improper Fractions
  1. How do you multiply improper fractions?
Creating and Solving Word Problems Creating and Solving Word Problems
  1. What are the basic steps of solving a word problem?
The Commutative Property The Commutative Property
  1. What is the commutative property?
  2. What operations use the commutative property?
Area of Squares and Rectangles Area of Squares and Rectangles
  1. How do you determine the area of an object?
  2. How do you calculate area when the sides of a shape are fractional?
Area by Multiplication Area by Multiplication
  1. How can you use multiplication to calculate area?
Perimeter Perimeter
  1. What are the ways you can find the perimeter?
  2. How can you find the perimeter with fractional sides?
Identity Property of Multiplication Identity Property of Multiplication
  1. What is the identity property of multiplication?
Multiplying Fractions Less Than One and Greater Than One Multiplying Fractions Less Than 1 and Greater Than 1
  1. When multiplying a whole number by a fraction, what denominator will convert that whole number to a fraction?
Inequalities Inequalities
  1. What is an inequality?
  2. How do you show inequalities on a number line?
  3. What are variables?
Comparing Products Comparing the Products of Fractions
  1. How do you compare products that involve fractions?

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