Module 7: Fractions-Math 5B - Course Guide

Module Overview:

In this module, students will learn about ratios and how to write them. They will learn how to write fractions as division problems and how to use fraction models to create division problems from fractions. Students will learn how to write equations and use them to solve word problems. Students will learn how to use a number line to find fractions, compare fractions, and estimate fraction sums and differences. Students will learn about how to use estimation for fraction addition and subtraction to problem solve. Students will learn about matching mixed numbers and improper fractions, as well as using visual models to represent fractions. Students will learn about creating their own story problems. Students will learn about the commutative property. Students will learn about multiplying a whole number by a fraction.

Module Materials:

Lesson # Lesson Title Material(s)
1 Ratios *Math 5B Workbook, ISBN 978-1-63916-124-9 (optional);
2 Fractions as Division None
3 Fraction Models None
4 Fraction Word Problems None
5 Fractions on the Number Line None
6 Comparing Fractions on a Number Line None
7 Estimating Sums and Differences None
8 Introduction to Fraction Multiplication None
9 Multiplying Fractions with Fractions None
10 Fraction Multiplication Word Problems None

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Ratios
  1. Express comparisons in ratio form.
2 Fractions as Division
  1. Interpret a fraction as division of the numerator by the denominator.
  2. Convert fractions into decimals using division.
3 Fraction Models
  1. Interpret a fraction as division of the numerator by the denominator.
4 Fraction Word Problems
  1. Use equations to solve word problems involving division to represent the problems with fractions in the answer.
5 Fractions on the Number Line
  1. Locate fractions on a number line.
6 Comparing Fractions on a Number Line
  1. Compare fractions using a number line.
7 Estimating Sums and Differences
  1. Use a benchmark fraction to estimate and examine the reasonableness of answers.
  2. Solve word problems involving addition and subtraction of fractions by using visual fraction models.
8 Introduction to Fraction Multiplication
  1. Use visual models to represent the multiplication of a fraction by a fraction.
9 Multiplying Fractions with Fractions
  1. Multiply a fraction by a fraction.
10 Fraction Multiplication Word Problems
  1. Use visual fraction models to solve word problems involving fractions.

Module Key Words:

Key Words
numerator
denominator
ratio
fraction
division
decimals
model
equation
word problem
number line
ruler
mixed number
improper fraction
compare
order
estimate
sum
difference
fraction model
product
visual models
multiplication
word problems
fractions

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
3 Fraction Models 5 Assignment
4 Fraction Word Problems 5 Assignment
7 Estimating Sums and Differences 7 Assignment
9 Multiplying Fractions with Fractions 5 Assignment
10 Fraction Multiplication Word Problems 5 Assignment

Learning Coach Notes:

Lesson # Lesson Title Notes
1 Ratios
2 Fractions as Division In their math notebook, have your student describe how fraction is related to division and how to convert a fraction to a decimal.
3 Fraction Models In their math notebook, have your student write examples of how they can represent fractions using models.
4 Fraction Word Problems Have your student describe the steps involved in solving fraction word problems and the parts of a division equation in their math notebook.
5 Fractions on the Number Line In their math notebook, have your student describe how to represent fractions on a number line, how to represent mixed numbers on a number line, and what an improper fraction is.
6 Comparing Fractions on a Number Line In their math notebook, have your student explain the following: how to use number lines to compare fractions, how to compare fractions with like denominators, and how to compare fractions with unlike denominators.
7 Estimating Sums and Differences
8 Introduction to Fraction Multiplication In their math notebook, have your student describe how to multiply a fraction by a fraction.
9 Multiplying Fractions with Fractions In their math notebook, have your student write the three steps to multiplying fractions.
10 Fraction Multiplication Word Problems In their math notebook, have your student describe how to use fraction models to solve word 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
Ratios
  1. What is a ratio?
Fractions as Division
  1. How is a fraction related to division?
Fraction Models
  1. How do you represent fractions with models?
Fraction Word Problems
  1. How can you solve word problems using fractions?
Fractions on the Number Line
  1. How do you represent fractions on a number line?
Comparing Fractions on a Number Line
  1. How do you use number lines to compare fractions?
Estimating Sums and Differences
  1. What are some ways you can estimate sums and differences of fractions?
Introduction to Fraction Multiplication
  1. What happens when you multiply a fraction by a fraction?
Multiplying Fractions with Fractions
  1. How do you multiply a fraction by another fraction?
Fraction Multiplication Word Problems
  1. How many ways can we multiply a fraction 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
Ratios Ratios
  1. What are the three ways to write a ratio?
Fractions as Division Fractions as Division
  1. How is a fraction related to division?
  2. What is the numerator?
  3. What is the denominator?
  4. How is a fraction converted to a decimal?
Fraction Models Fraction Models
  1. How do you represent fractions with models?
Fraction Word Problems Fraction Word Problems
  1. What are the parts of a division equation?
Fractions on the Number Line Fractions on the Number Line
  1. How do you determine what fractions the sections between whole numbers on a number line represent?
Comparing Fractions on a Number Line Comparing Fractions on the Number Line
  1. How do you use number lines to compare fractions?
Estimating Sums and Differences Estimating Sums and Differences
  1. What are some ways you can estimate sums and differences of fractions?
Introduction to Fraction Multiplication Introduction to Fraction Multiplication
  1. How can you use models to help you with fraction multiplication?
Multiplying Fractions with Fractions Multiplying Fractions with Fractions
  1. What are the 3 steps to multiplying fractions?
Fraction Multiplication Word Problems Fraction Multiplication Word Problems
  1. How do we use fraction models to solve word 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