# 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 Math Notebook
2 Fraction Multiplication Using Visual Models Math Notebook
3 Multiplying a Whole Number by a Fraction Math Notebook
4 Using Multiplication to Solve Word Problems With Fractions Math Notebook
5 Fractions With Denominators of 10 and 100. Colored pencils-crayons or thin markers
6 Comparing Tenths and Hundredths Math Notebook
7 Add Tenths and Hundredths Math Notebook
8 Identifying Fractions as Division Math Notebook
9 Fractions as Decimals Calculator-handheld or online
10 Decimals on Number Lines Math Notebook
11 Comparing Fractions to Decimals Math Notebook

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Fraction Multiplication
1. Identify solutions on a number line.
2 Fraction Multiplication Using Visual Models
1. Use visual models to represent word problems with fractions.
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 10 and 100.
2. Write equivalent fractions with denominators 10 and 100.
1. Add fractions with denominators 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
math
fraction
numerator
denominator
number line
visual model
improper fraction
mixed number
tenth
hundredth
equivalent
multiple
lowest common denominator
decimal

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Fraction Multiplication 6 Practice Finding Answers on a Number Line
2 Fraction Multiplication Using Visual Models 5 Practice Using Visual Models
3 Multiplying a Whole Number by a Fraction 5 Practice Multiplying Whole Numbers and Fractions
4 Using Multiplication to Solve Word Problems With Fractions 5 Practice Problem Solving
5 Fractions With Denominators of 10 and 100. 7 Practice Identifying Tenths
5 Fractions With Denominators of 10 and 100. 12 Practice Identifying Hundredths
6 Comparing Tenths and Hundredths 5 Practice Comparing Tenths and Hundredths
8 Identifying Fractions as Division 5 Practice Identifying Fractions as Division
9 Fractions as Decimals 7 Practice Writing Decimals
10 Decimals on Number Lines 5 Practice Locating Tenths on a Number Line
11 Comparing Fractions to Decimals 7 Practice Comparing Fractions to Decimals

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Fraction Multiplication
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math notebook have your student explain how they can use a number line to help them multiply fractions.
2 Fraction Multiplication Using Visual Models
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook give your student some fraction multiplication problems to solve using area models.
3 Multiplying a Whole Number by a Fraction
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook have your student write down the steps involved in multiplying a whole number by a fraction.
4 Using Multiplication to Solve Word Problems With Fractions
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math notebook have your student write the steps they learned on how to multiply fractions to mixed numbers from the video on page 2 of the lesson.
5 Fractions With Denominators of 10 and 100. In this lesson have your student complete the practice activities first before looking at the answer keys. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
6 Comparing Tenths and Hundredths
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook have your student write the steps to follow to compare fractions.
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math Notebook have your student write the steps involved in adding tenths and hundredths.
8 Identifying Fractions as Division
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math Notebook have you student explain the relationship between fractions and division.
9 Fractions as Decimals
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• Say 5 different decimal numbers to your student and have them write the numbers in their math notebook. Then write down 5 decimal numbers and ask your student to say them.
10 Decimals on Number Lines
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook have your student draw a number line. Give them 5 decimals to plot on their number line.
11 Comparing Fractions to Decimals
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook have your student describe how to compare fractions and decimals.

## 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?
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
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