# Module 9: Dividing Fractions-Math 5B - Course Guide

## Module Overview:

In this module, students will learn about using visual models and equations to solve real-world fraction multiplication problems, use equations to solve real-world fraction problems and explain in writing the process of how to solve real-world problems involving multiplication of fractions and mixed numbers. They will learn how to identify and represent unit fractions, use visual models to divide unit fractions by whole numbers and learn the relationship between multiplication and division with unit fractions. Students will learn about dividing whole numbers by unit fractions, find the reciprocals of fractions and whole numbers, divide a unit fraction by a whole number, solve word problems by dividing unit fractions by non-zero whole numbers, divide whole numbers by fractions, divide fractions using reciprocals, and divide fractions using common denominators.

## Module Materials:

• Pencils
• Crayons or colored pencils
• Notebook
• Scissors
• Glue
• Highlighter
• Markers
• Blank paper

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Fraction Multiplication Review
1. Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models.
2. Solve real-world fraction multiplication problems using equations.
2 Fraction Multiplication and Word Problems
1. Solve real-world problems involving multiplication of fractions and mixed numbers by using equations.
3 Explanation of Word Problems
1. Explain in writing the process of how to solve real-world problems involving multiplication of fractions and mixed numbers.
4 Unit Fractions
1. Define and identify unit fractions.
2. Use visual models to represent unit fractions.
5 Visual Division with Unit Fractions
1. Create a visual model to represent the quotient of a unit fraction divided by a whole number greater than 0.
6 Dividing and Multiplying with Unit Fractions
1. Explain the relationship between multiplication and division, in order to interpret division of a whole number by a unit fraction and the division of a unit fraction by a non-zero whole number.
7 Dividing by Unit Fractions
1. Create a visual fraction model to represent the quotient of a whole number divided by a unit fraction.
8 Reciprocals
1. Find the reciprocals of fractions and whole numbers.
9 Dividing by Whole Numbers
1. Divide a unit fraction by a whole number.
2. Solve word problems by dividing unit fractions by non-zero whole numbers.
10 Division by Unit Fractions Using Reciprocals and Common Denominators
1. Divide whole numbers by fractions.
2. Divide fractions using reciprocals.
3. Divide fractions using common denominators.

Module Key Words:

Key Words
fraction
multiplication
equation
visual model
word problem
multiply
word problems
mixed number
product
unit fraction
quotient
division
divide
fraction model
reciprocal
common denominator
equivalent fraction
whole number

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
3 Explanation of Word Problems 5 Assignment
6 Dividing and Multiplying with Unit Fractions 5 Assignment
7 Dividing by Unit Fractions 5 Assignment
10 Division by Unit Fractions Using Reciprocals and Common Denominators 5 Assignment

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Fraction Multiplication Review In their math notebook, have your student describe why it is helpful to solve a problem with more than one strategy.
2 Fraction Multiplication and Word Problems Ask your student to explain the steps to multiplying fractions and how to solve multi-step word problems.
3 Explanation of Word Problems Review the math assignment for this lesson with your student and ask them to explain to you how they solved each problem.
4 Unit Fractions Have your student explain unit fractions in their math notebook and how to use visual models to represent unit fractions.
5 Visual Division with Unit Fractions In their math notebook, have your student write examples of using visual models to divide unit fractions.
6 Dividing and Multiplying with Unit Fractions In their math notebook, have your student describe how to divide and multiply using unit fractions.
7 Dividing by Unit Fractions In their math notebook, have your student describe the strategies they can use to divide whole numbers by unit fractions.
8 Reciprocals In their math notebook, have your student explain what reciprocals are and how they relate to fractions.
9 Dividing by Whole Numbers In their math notebook, have your student explain how common denominators help with dividing fractions.
10 Division by Unit Fractions Using Reciprocals and Common Denominators In their math notebook, have your student summarize the strategies they can use to solve fraction division problems.

## 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
Fraction Multiplication Review
1. How are models helpful for solving real-world fraction problems?
Fraction Multiplication and Word Problems
1. What steps do you follow to multiply fractions?
Explanation of Word Problems
1. How do you share your thoughts as you solve a real-world math problem?
Unit Fractions
1. What are unit fractions?
Visual Division with Unit Fractions
1. How do you divide unit fractions by whole numbers?
Dividing and Multiplying with Unit Fractions
1. How are multiplication and division of fractions related?
Dividing by Unit Fractions
1. How are whole numbers divided by a unit fraction?
Reciprocals
1. What is the reciprocal of a fraction?
Dividing by Whole Numbers
1. How do you divide fractions by whole numbers?
Division by Unit Fractions Using Reciprocals and Common Denominators
1. What happens when you divide by a fraction?

## 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
Fraction Multiplication Review Fraction Multiplication Review
1. Why is it helpful to solve a problem using more than one strategy?
Fraction Multiplication and Word Problems Fraction Multiplication and Word Problems
1. How do you solve word problems with multiple steps?
Explanation of Word Problems Explanation of Word Problems
Unit Fractions Unit Fractions
1. What are unit fractions?
Visual Division with Unit Fractions Visual Division with Unit Fractions
1. How do you divide unit fractions by whole numbers?
Dividing and Multiplying with Unit Fractions Dividing and Multiplying with Unit Fractions
1. How do you multiply and divide with unit fractions?
Dividing by Unit Fractions Dividing by Unit Fractions
Reciprocals Reciprocals
1. What does the term reciprocal mean?
Dividing by Whole Numbers Dividing by Whole Numbers
1. How do you find the least common denominator, LCD, of a set of fractions?
Division by Unit Fractions Using Reciprocals and Common Denominators Division by Unit Fractions Using Reciprocals and Common Denominators
1. What strategies can you use to solve fraction division problems?

## 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