Module 5 - Math 4A - Course Guide

Module Overview:

In this module students will learn about dividing on a number line, identifying fractions on a number line, and equivalent fractions. Students will learn about common denominators, greatest common factors, and least common multiples.

Module Materials:

Lesson # Lesson Title Material(s)
1 Dividing Number Lines pen or pencil
ruler
2 Identifying Fractions on a Number Line pen or pencil
ruler
3 Equivalent Fractions pen or pencil
scissors
crayons or colored pencils
4 Common Denominators pen or pencil;
5 Greatest Common Factor pen or pencil;
6 Least Common Multiple pen or pencil;

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Dividing Number Lines
  1. Divide a number line into parts (fractions).
2 Identifying Fractions on a Number Line
  1. Locate fractions on a number line.
3 Equivalent Fractions
  1. Find equivalent fractions using models.
  2. Find equivalent fractions using multiplication.
  3. Find equivalent fractions using division.
4 Common Denominators
  1. Create common denominators by multiplication to form equivalent fractions.
  2. Decompose a fraction into a sum of fractions with the same denominator.
5 Greatest Common Factor
  1. Determine the greatest common factors of whole numbers.
6 Least Common Multiple
  1. Determine the least common multiple of whole numbers.

Module Key Words:

Key Words
number line
fraction
division
equivalent fraction
common denominator
reduce
denominator
numerator
equivalent fractions
greatest common factor (GCF)
least common multiple (LCM)

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
3 Equivalent Fractions 10 Writing Equivalent Fractions 1 Assignment
3 Equivalent Fractions 12 Writing Equivalent Fractions 2 Assignment
3 Equivalent Fractions 14 Simplifying Fractions Using Division Assignment
3 Equivalent Fractions 15 Equivalent Fractions Lesson Review Assignment
4 Common Denominators 9 Common Denominator Practice
6 Least Common Multiple 5 Least Common Multiple Review Assignment

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
Dividing Number Lines
  1. How can you divide a number line to show fractions?
Identifying Fractions on a Number Line
  1. How can you identify fractions on a number line?
Equivalent Fractions
  1. What are equivalent fractions?
Common Denominators
  1. What are common denominators?
Greatest Common Factor
  1. What is the Greatest Common Factor?
Least Common Multiple
  1. What is the Least Common Multiple?
  2. How do you find the Least Common Multiple?

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
Dividing Number Lines Between the Whole Numbers
  1. Describe what you learned from this video, what is between the whole numbers?
Identifying Fractions on a Number Line Fractions on Number Lines
  1. How do you show fractions on a number line?
Equivalent Fractions How to Find Equivalent Fractions
  1. Describe how to find equivalent fractions.
Equivalent Fractions Find the Missing Numerator
  1. How do you find a missing numerator?
Common Denominators Common Denominators
  1. What is a denominator?
  2. What is a common denominator?
  3. How do you find the common denominators?
Common Denominators Equivalent Fractions
  1. What are equivalent fractions?
  2. How can you make fractions equivalent?
Greatest Common Factor Greatest Common Factor
  1. How do you find the Greatest Common Factor?
Greatest Common Factor GCF
  1. How can you use factor trees and prime factorization to find the Greatest Common Factor?
Least Common Multiple Adding Fractions with Different Denominators
  1. What are the steps you must do to add fractions with different denominators?
Least Common Multiple Understanding Least Common Multiples
  1. How do you find the Least Common Multiple?

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 Fractions in Disguise: A Math Adventure Edward Einhorn 680L

Module Outing:

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

# Outing