Module 7 - Math 4B - Course Guide

Module Overview:

In this module students will learn about multiplying fractions by whole numbers. Students will learn about using visual models to show multiplication of fractions and whole numbers. Students will learn about multiplying fractions by whole numbers. They will learn about multiplying fractions to solve word problems. They will learn about identifying fractions with denominators of 10 and 100. They will learn about comparing fractions with denominators of 10 and 100. Students will learn about adding fractions with denominators of 10 and 100. Students will learn about the relationship between fractions and division.They will learn about the relationship between fractions, division, and decimals. Students will learn about decimals on number lines. Students will learn about comparing fractions to decimals.

Module Materials:

Lesson # Lesson Title Material(s)
1 Fraction Multiplication pen or pencil
*Math 4B Workbook, ISBN 978-1-63916-009-9 (optional)
2 Fraction Multiplication Using Visual Models pen or pencil;
3 Multiplying a Whole Number by a Fraction None
4 Using Multiplication to Solve Word Problems With Fractions pen or pencil;
5 Fractions With Denominators of 10 and 100 pen or pencil
crayons or colored pencils
6 Comparing Tenths and Hundredths pen or pencil;
7 Add Tenths and Hundredths pen or pencil;
8 Identifying Fractions as Division pen or pencil;
9 Fractions as Decimals pen or pencil
calculator: handheld or online
10 Decimals on Number Lines pen or pencil;
11 Comparing Fractions to Decimals pen or pencil;

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Fraction Multiplication
  1. Solve fraction multiplication problems using a number line.
2 Fraction Multiplication Using Visual Models
  1. Represent fraction problems with visual models.
  2. Write a fraction problem from a visual model.
  3. Solve fraction multiplication problems using an area model.
3 Multiplying a Whole Number by a Fraction
  1. Multiply a fraction by a whole number.
4 Using Multiplication to Solve Word Problems With Fractions
  1. Solve word problems involving multiplication of whole numbers and fractions.
5 Fractions With Denominators of 10 and 100
  1. Identify fractions with denominators of 10.
  2. Identify fractions with denominators of 100.
6 Comparing Tenths and Hundredths
  1. Use grids to compare fractions with denominators of 10 and 100.
  2. Write equivalent fractions with denominators of 10 and 100.
7 Add Tenths and Hundredths
  1. Add fractions with denominators of 10 and 100.
8 Identifying Fractions as Division
  1. Relate division to fractions.
9 Fractions as Decimals
  1. Write decimals to the hundredths place.
10 Decimals on Number Lines
  1. Locate decimals on a number line.
11 Comparing Fractions to Decimals
  1. Compare fractions to decimals.

Module Key Words:

Key Words
repeated addition
multiplication
fractions
number line
visual models
area model
math
fraction
numerator
denominator
improper fraction
mixed number
word problem
fraction multiplication
tenth
hundredth
grid
common denominator
equivalent fraction
addition
tenths
hundredths
division
decimals
decimal
compare

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Fraction Multiplication 6 Finding Answers on a Number Line Assignment
2 Fraction Multiplication Using Visual Models 5 Practice Using Visual Models Assignment
3 Multiplying a Whole Number by a Fraction 5 Multiplying Whole Numbers and Fractions Assignment
4 Using Multiplication to Solve Word Problems With Fractions 5 Practice Problem Solving Assignment
5 Fractions With Denominators of 10 and 100 7 Identifying Tenths Assignment
5 Fractions With Denominators of 10 and 100 12 Identifying Hundredths Assignment
6 Comparing Tenths and Hundredths 5 Comparing Tenths and Hundredths Assignment
7 Add Tenths and Hundredths 5 Adding Fractions Assignment
8 Identifying Fractions as Division 5 Fractions as Division Assignment
9 Fractions as Decimals 7 Writing Decimals Assignment
10 Decimals on Number Lines 5 Locating Tenths on a Number Line Assignment
11 Comparing Fractions to Decimals 7 Comparing Fractions to Decimals 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
Fraction Multiplication
  1. How do you multiply fractions?
Fraction Multiplication Using Visual Models
  1. What are some visual models you can use to help you multiply fractions?
Multiplying a Whole Number by a Fraction
  1. What are the steps involved in multiplying a whole number by another fraction?
Using Multiplication to Solve Word Problems With Fractions
  1. What are some strategies you can use to help you solve word problems?
Fractions With Denominators of 10 and 100
  1. What are the parts of a fraction?
Comparing Tenths and Hundredths
  1. What steps do you need to follow to compare fractions?
Add Tenths and Hundredths
  1. How do you add tenths and hundredths?
Identifying Fractions as Division
  1. What does the fraction bar actually mean?
Fractions as Decimals
  1. How do you make a fraction into a decimal?
Decimals on Number Lines
  1. Where are fractions and decimals located on a number line compared to whole numbers?
Comparing Fractions to Decimals
  1. What are some ways you can compare fractions and decimals?

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
Fraction Multiplication Multiplying Fractions by Whole Numbers
  1. What is multiplication a shortcut for?
  2. When you multiply a whole number by a fraction, what do you multiply the whole number with?
Fraction Multiplication Using Visual Models What Are Fractions?
  1. What is a fraction?
  2. Give examples of fractions.
Fraction Multiplication Using Visual Models Multiplying Fractions: Area Model
  1. What is an area model?
  2. How do you use an area model?
Multiplying a Whole Number by a Fraction Whole Numbers as Fractions
  1. How do you make a whole number a fraction?
Using Multiplication to Solve Word Problems With Fractions Writing a Problem Multiplying Fractions and Mixed Numbers
  1. What are the steps involved to multiply fractions and mixed numbers?
Fractions With Denominators of 10 and 100 What is a Fraction?
  1. What is a fraction?
  2. Give examples of fractions.
  3. What is a numerator?
  4. What is a denominator?
Fractions With Denominators of 10 and 100 Tenths
  1. What did you learn about fractions from this video?
Fractions With Denominators of 10 and 100 Hundredths
  1. What did you learn about fractions from this video?
Identifying Fractions as Division Dividing Seven Cookies among Four People
  1. What strategies can you use to divide 7 cookies among 4 people?
Fractions as Decimals Fractions and Decimals: Bowling Pins
  1. How does bowling help you learn about fractions and decimals?
Fractions as Decimals Reading and Writing Decimals
  1. What do the digits on the left side of the decimal represent?
  2. What do the digits on the right side of the decimal represent?
  3. What is the name of the place value 1 spot to the right of a decimal?
  4. What is the name of the place value 2 spots to the right of the decimal?
  5. What is the name of the place value 3 spots to the right of a decimal?
Decimals on Number Lines Locating Decimals on a Number Line
  1. How do you locate decimals on a number line?
Comparing Fractions to Decimals Relate Fractions and Decimals
  1. What is the definition of a decimal?
  2. What is the definition of a fraction?
  3. How are fractions and decimals related?

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