Module 6: Fraction Operations - Course Guide

Module Overview:

In this module students will learn about dividing with small dividends, dividing decimals and dealing with the remainder, and dividing by powers of 10. Students will learn about writing equivalent fractions, finding the common denominator when working with fractions, they will learn about greatest common factors, and lowest common denominators. Students will learn about adding and subtracting fractions with like denominators, adding mixed numbers with like denominators, adding and subtracting fractions with unlike denominators, adding mixed numbers with unlike denominators, and subtracting mixed numbers.

Module Materials:

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

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Small Dividend Division
  1. Divide a whole number into a dividend of less than one.
2 Decimals as Remainders
  1. Complete division problems with decimals as remainders.
3 Dividing Decimals by Powers of 10
  1. Divide by 10, 100, or 1,000.
4 Equivalent Fractions
  1. Write equivalent fractions.
5 Common Denominators
  1. Find the common denominator when solving problems involving fractions.
6 Greatest Common Factors
  1. Find the GCF.
  2. Simplify fractions.
7 Lowest Common Denominator
  1. Use the least common multiple to write equivalent fractions.
8 Adding and Subtracting Fractions
  1. Add and subtract fractions with like denominators.
  2. Add and subtract fractions with unlike denominators.
9 Adding Mixed Numbers
  1. Add mixed numbers with like denominators.
  2. Add mixed numbers with unlike denominators.
10 Subtracting Mixed Numbers
  1. Subtract mixed numbers.

Module Key Words:

Key Words
dividend
quotient
divisor
remainder
power of 10
decimal point
decimal
equivalent fraction
common denominator
factor
GCF
common
greatest
prime factor
simplest form
least common multiple
lowest common denominator
fraction operations
LCD
simplify
lowest common denominator (LCD)
mixed number
addition
fractions
mixed numbers
subtract

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
4 Equivalent Fractions 6 Assignment
6 Greatest Common Factors 7 Assignment
7 Lowest Common Denominator 7 Assignment
9 Adding Mixed Numbers 6 Assignment

Learning Coach Notes:

Lesson # Lesson Title Notes
1 Small Dividend Division In their Math notebook, have your student write the steps for how to divide with small dividends.
2 Decimals as Remainders In their Math notebook, have your student write out what they do if they have a remainder when dividing decimals.
3 Dividing Decimals by Powers of 10 In their Math notebook, have your student write down which way and how many times you move the decimal when dividing a decimal by 10, 100, and 1,000.
4 Equivalent Fractions In their Math notebook, have your student explain what equivalent fractions are and some good models they can use to help them understand fractions.
5 Common Denominators In their Math notebook, have your student write the steps to find common denominators from this lesson.
6 Greatest Common Factors In their Math notebook, have your student explain the following: factor, prime factors, the simplest form of a fraction, and how to find the Greatest Common Factor.
7 Lowest Common Denominator In their Math notebook, have your student write the steps involved to find the LCM.
8 Adding and Subtracting Fractions In their Math notebook, have your student describe the steps involved in adding and subtracting fractions with like denominators and unlike denominators.
9 Adding Mixed Numbers In their Math notebook, have your student write the steps for adding mixed numbers with like and unlike denominators.
10 Subtracting Mixed Numbers In their Math notebook, have your student write down the steps involved in subtracting 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
Small Dividend Division
  1. How do you divide a number that is less than one?
Decimals as Remainders
  1. Can you have a remainder when dividing decimals?
Dividing Decimals by Powers of 10
  1. How do you divide decimals by powers of 10?
Equivalent Fractions
  1. What are equivalent fractions?
  2. What do equivalent fractions look like?
  3. How does multiplication help with equivalent fractions?
  4. Can division be used to calculate equivalent fractions?
Common Denominators
  1. What is a common denominator?
  2. How do you find a common denominator?
Greatest Common Factors
  1. What is the greatest common factor?
  2. How do you identify the factors of a set of numbers?
  3. How can prime factorization help identify the GCF?
  4. How do you know if a fraction is in the simplest form?
Lowest Common Denominator
  1. What are the multiples of a number?
  2. How do you find the least common multiple of a set of numbers?
  3. How can prime factorization help with finding the LCM?
  4. How do you find the least common denominator?
Adding and Subtracting Fractions
  1. How do you add and subtract fractions?
Adding Mixed Numbers
  1. How do you add mixed numbers with like and unlike denominators?
Subtracting Mixed Numbers
  1. How do you subtract mixed fractions with like and unlike denominators?

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
Small Dividend Division Small Dividend Divisors
  1. When dividing dividends less than 1, what digit is used to hold the place of the whole numbers (to the left of the decimal point)?
Decimals as Remainders Decimals as Remainders
  1. Can you have a remainder when dividing decimals?
Dividing Decimals by Powers of 10 Dividing Decimals by Powers of 10
  1. What direction does the decimal point move when you divide by powers of 10?
Equivalent Fractions Equivalent Fractions
  1. What are equivalent fractions?
  2. What does it mean for two or more fractions to be equivalent?
Common Denominators Common Denominators
  1. What is a common denominator?
  2. Why are common denominators important for adding and subtracting fractions?
Greatest Common Factors Greatest Common Factor
  1. What is the greatest common factor?
Lowest Common Denominator Lowest Common Denominator
  1. How do you find the least common denominator?
Adding and Subtracting Fractions Adding and Subtracting Fractions
  1. How do you add and subtract fractions with unlike denominators?
Adding Mixed Numbers Adding Mixed Numbers
  1. How do you add mixed numbers with unlike denominators?
  2. What is the first step to adding mixed numbers with unlike denominators?
Subtracting Mixed Numbers Subtracting Mixed Numbers
  1. What strategies help you solve real-world 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