# Module 6 - Math 4A - Course Guide

## Module Overview:

In this module students will learn about adding like fractions, adding mixed numbers, improper fractions and mixed numbers, and adding unlike fractions. Students will learn about subtracting like fractions, subtracting unlike fractions, subtracting mixed numbers and improper fractions. Students will learn about dividing fractions using reciprocals, dividing fractions using modeling, dividing whole numbers into fractions, and dividing mixed numbers.

## Module Materials:

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

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Adding Like Fractions
1. Add like fractions.
2 Adding Mixed Numbers
1. Add mixed numbers.
3 Improper Fractions in Mixed Numbers
1. Add improper fractions in mixed numbers.
4 Adding Unlike Fractions
1. Add unlike fractions.
5 Subtracting Like Fractions
1. Subtract like fractions.
6 Subtracting Unlike Fractions
1. Subtract unlike fractions.
7 Subtracting Mixed Numbers
1. Subtract mixed numbers.
8 Subtracting Improper Fractions
1. Subtract improper fractions.
9 Dividing Fractions Using Reciprocals
1. Divide fractions using reciprocals.
10 Dividing Fractions Using Modeling
1. Divide fractions using models.
11 Dividing Whole Numbers into Fractions
1. Divide whole numbers and fractions.
12 Dividing Mixed Numbers
1. Divide whole numbers and mixed numbers.

Module Key Words:

Key Words
denominator
numerator
reduce
simplify
mixed numbers
improper fractions
proper fraction
improper fraction
common denominator
subtraction
fraction
division
inverse
reciprocal
multiplicative

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
4 Adding Unlike Fractions 5 Practice Adding Unlike Denominators
10 Dividing Fractions Using Modeling 7 Modeling Fraction Review
11 Dividing Whole Numbers into Fractions 4 Practice Dividing Whole Numbers and Fractions

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Adding Like Fractions During the practice in this lesson sit with your student and have them talk you through how they will solve each problem before they click to get the answer to each problem. In their Math notebook have them write the steps to adding like fractions.
2 Adding Mixed Numbers During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer.
3 Improper Fractions in Mixed Numbers During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer.
4 Adding Unlike Fractions In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
5 Subtracting Like Fractions During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer.
6 Subtracting Unlike Fractions During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer. In their Math notebook have your student write down the steps for subtracting unlike fractions.
7 Subtracting Mixed Numbers During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer. In their Math notebook have your student write the steps involved in subtracting Mixed Numbers.
8 Subtracting Improper Fractions During the practice in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answer until they have solved the problem and explained how they got their answer. In their Math notebook have your student write the steps involved in subtracting improper fractions.
9 Dividing Fractions Using Reciprocals During the practice activities in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answers until they have solved the problem and explained how they got their answer. Have your student make a chart titled Steps in Dividing Fractions and recording the steps on the chart. The steps are found on page 6 of this lesson. When finished have them place the chart in a location where they can refer to it as needed.
10 Dividing Fractions Using Modeling In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
11 Dividing Whole Numbers into Fractions Make a chart listing the steps to Dividing Whole numbers into fractions. Have your student put it someplace where they can refer to it as needed.
12 Dividing Mixed Numbers Have your student pull out the chart with the steps to Dividing Whole Numbers into Fractions and compare it with the steps for Dividing Mixed Numbers. Discuss the steps and why they would be similar. During the practice activities in this lesson sit with your student as they go through each practice problem and solve them. Do not have them click to see the answers until they have solved the problem and explained how they got their answer.

## 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
Adding Like Fractions
1. What are the steps to add like fractions?
2. What is an improper fraction?
3. What does it mean to simplify a fraction?
Adding Mixed Numbers
1. What is a mixed number?
2. How do you add mixed numbers?
Improper Fractions in Mixed Numbers
1. What are improper fractions?
2. What are mixed numbers?
3. How do you add Improper Fractions and Mixed Numbers?
Adding Unlike Fractions
1. How do you add fractions that do not have common denominators?
Subtracting Like Fractions
1. How do you subtract fractions that have the same denominator?
Subtracting Unlike Fractions
1. What are the steps for subtracting unlike fractions?
Subtracting Mixed Numbers
1. What are mixed numbers?
2. How do you subtract mixed numbers?
Subtracting Improper Fractions
1. What is an improper fraction?
2. What are the steps involved in subtracting improper fractions?
Dividing Fractions Using Reciprocals
1. What is a reciprocal?
2. What are the steps involved in dividing fractions?
Dividing Fractions Using Modeling
1. Describe the models you can make to help you solve division problems.
Dividing Whole Numbers into Fractions
1. How do you divide whole numbers by fractions?
Dividing Mixed Numbers
1. How do you divide mixed numbers?

## 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
Adding Like Fractions Add Like Fractions
1. How do you add fractions that have common denominators?
Adding Like Fractions Simplifying Fractions
1. How do you simplify fractions?
Adding Mixed Numbers Addition with Mixed Numerals
1. How does Big John the coal miner learn to add with mixed numbers?
Adding Mixed Numbers Adding Mixed Numbers
1. What are the steps you use to add mixed numbers?
Improper Fractions in Mixed Numbers Explaining Improper Fractions
1. What are improper fractions?
Improper Fractions in Mixed Numbers Connecting Improper Fractions to Mixed Numbers
1. What is the connection between improper fractions and mixed numbers?
Adding Unlike Fractions Add Unlike Fractions
1. What are the steps to adding unlike fractions?
Subtracting Like Fractions Equivalent Fractions
1. How do you create equivalent fractions?
Subtracting Like Fractions Subtract Like Fractions
1. What are the steps to subtracting like fractions?
Subtracting Unlike Fractions Subtract Unlike Fractions
1. How does Ms.
2. Price subtract with unlike fractions?
Subtracting Mixed Numbers Subtract Mixed Numbers
1. How does Mr.
2. Cooper subtract mixed numbers?
Subtracting Improper Fractions More Problems
1. What are the steps used to solve the problems in this video?
Subtracting Improper Fractions Choose the Operation
1. What are the steps involved in solving word problems that are shared in this video?
Dividing Fractions Using Reciprocals Dividing Fractions
1. What are the steps involved in dividing fractions?
Dividing Fractions Using Modeling Making A Model to Division Problems
1. How does making models help you solve division problems?
Dividing Fractions Using Modeling Dividing Strips into Parts Video
1. What model is being used in this video?
2. How does it help you solve division problems?
Dividing Whole Numbers into Fractions Dividing Whole Numbers By Fractions
1. What are the steps involved to divide whole numbers by fractions?
Dividing Mixed Numbers Dividing Mixed Numbers
1. What are the steps you follow to divide mixed numbers?

## 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
1 Apple Fractions Jerry Pallotta AD490L
2 The Wishing Club: A Story About Fractions Donna Jo Napoli
3 Pizza Counting Christina Dobson 930L

## Module Outing:

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

# Outing