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:

Lesson # Lesson Title Material(s)
1 Adding Like Fractions pen or pencil;
2 Adding Mixed Numbers pen or pencil;
3 Improper Fractions in Mixed Numbers pen or pencil;
4 Adding Unlike Fractions pen or pencil;
5 Subtracting Like Fractions pen or pencil;
6 Subtracting Unlike Fractions None
7 Subtracting Mixed Numbers pen or pencil;
8 Subtracting Improper Fractions pen or pencil;
9 Dividing Fractions Using Reciprocals pen or pencil;
10 Dividing Fractions Using Modeling pen or pencil
scissors
11 Dividing Whole Numbers into Fractions pen or pencil;
12 Dividing Mixed Numbers pen or pencil;

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Adding Like Fractions
  1. Add fractions that have the same denominator.
  2. Solve word problems involving addition of like denominator 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.
  2. Solve word problems involving subtraction of like denominator 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 into fractions.
12 Dividing Mixed Numbers
  1. Divide whole numbers and mixed numbers.

Module Key Words:

Key Words
like fraction
like denominator
improper fraction
mixed number
least common denominator
lowest terms
proper fraction
unlike denominator
common denominator
unlike fractions
like fractions
subtraction
fraction
mixed numbers
division
inverse
reciprocal
multiplicative invserse
reduce
multiplicative
numerator
denominator
improper fractions

Module Assignments:

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

Learning Coach Notes:

Lesson # Lesson Title Notes
1 Adding Like Fractions
2 Adding Mixed Numbers
3 Improper Fractions in Mixed Numbers
4 Adding Unlike Fractions
5 Subtracting Like Fractions
6 Subtracting Unlike Fractions In their Math notebook, have your student write down the steps for subtracting, unlike fractions.
7 Subtracting Mixed Numbers
8 Subtracting Improper Fractions
9 Dividing Fractions Using Reciprocals
10 Dividing Fractions Using Modeling
11 Dividing Whole Numbers into Fractions
12 Dividing Mixed Numbers

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