Module 4  Math 4A  Course Guide
Module Overview:
In this module students will learn about how to multiply using clustering and how to use regrouping in multiplication. They will learn about how to multiply with arrays and how to multiply large numbers many different ways. Students will learn about long division, dividing using grouping, using an area model to solve division problems, and how to apply division strategies. Students will become familiar with the parts of fractions and writing fractions.
Module Materials:
Lesson #  Lesson Title  Material(s) 

1  Clustering  Scissors 
2  Regrouping Multiplication  Math Notebook 
3  Multiplying with Arrays  Graph paper 
4  Applications of Multiplication  Math Notebook 
5  Long Division  Math Notebook 
6  Dividing Using Grouping  Math Notebook 
7  Area Model  Graph paper Markers 
8  Application of Division Strategies  Math Notebook 
9  Fraction Parts  Scissors 
10  Fraction Shape  Crayons or Markers 
11  Writing Fractions  Math Notebook 
Module Objectives:
Lesson #  Lesson Title  Objective(s) 

1  Clustering 

2  Regrouping Multiplication 

3  Multiplying with Arrays 

4  Applications of Multiplication 

5  Long Division 

6  Dividing Using Grouping 

7  Area Model 

8  Application of Division Strategies 

9  Fraction Parts 

10  Fraction Shape 

11  Writing Fractions 

Module Key Words:
Key Words 

multiplication clustering commutative regrouping array math large numbers division quotient dividend divisor division bracket grouping area model fraction equivalent numerator denominator fraction bar Fraction Line Modeling 
Module Assignments:
Lesson #  Lesson Title  Page #  Assignment Title 

1  Clustering  7  Clustering with Tiles Activity 
2  Regrouping Multiplication  4  Regrouping Activity 
3  Multiplying with Arrays  8  Array Practice 
4  Applications of Multiplication  2  Applications Practice 
7  Area Model  7  Modeling Practice 
10  Fraction Shape  3  Modeling Fractions Practice 
Learning Coach Notes:
Lesson #  Lesson Title  Notes 

1  Clustering  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. 
2  Regrouping 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 describe regrouping and the write the steps to multiplying four digit numbers. 
3  Multiplying with Arrays  This lesson will have your student using graph paper there is a downloadable version to print if you do not have graph paper on hand. 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. 
4  Applications of 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 write down the strategies they used to solve the problems in this lesson. 
5  Long Division  In their Math notebook have your student write down the 4 steps to solving a long division problem and have them diagram the parts of a division problem. 
6  Dividing Using Grouping  In their Math notebook have them describe how to use grouping strategies to solve division problems. 
7  Area Model  This lesson will have your student using graph paper there is a downloadable version to print if you do not have graph paper on hand. 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. 
8  Application of Division Strategies  In this lesson your student will be given practice problems to solve using any of the division strategies they have learned. Sit with them while they solve the problem. Do not allow them to click on the answer until after they have solved the problem and discussed what strategy they used to solve the problem with you. When they have finished solving the problem and discussed their strategy allow them to click on the answer to compare. In their Math notebook have your student write down the division strategies they can use to solve division problems. 
9  Fraction Parts  One of the activities in this lesson ask the student to practice writing fractions. As your student writes the fractions have them identify for you the numerator and the denominator in each fraction they write. 
10  Fraction Shape  Give your student 5 fractions and ask them to create a model for each fraction in their Math notebook. 
11  Writing Fractions  Write 5 fractions in your students math notebook and have them read them and label the parts. Then say a fraction and ask your student to write the fractions you tell them. 
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 

Clustering 

Regrouping Multiplication 

Multiplying with Arrays 

Applications of Multiplication 

Long Division 

Dividing Using Grouping 

Area Model 

Application of Division Strategies 

Fraction Parts 

Fraction Shape 

Writing Fractions 

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 

Clustering  Maths Mansion 

Regrouping Multiplication  Four Digit Multiplication 

Multiplying with Arrays  1001 Naughts 

Multiplying with Arrays  Completing Multiplication Sentences Using Arrays 

Long Division  Division and Multiplication  Beads 

Long Division  Division Procedures 

Dividing Using Grouping  Dividing Using Grouping 

Area Model  Understanding the Relationship Between the Remainder and the Divisor 

Application of Division Strategies  Dividend, Divisor and Quotient 

Application of Division Strategies  Division Word Problems 

Fraction Parts  Fractions for Food 

Fraction Parts  Parts of a Whole 

Fraction Shape  Modeling Fractions 

Writing Fractions  Read and Write Fractions 

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  Amanda Bean's Amazing Dream  Cindy Neuschwander  AD520L 
2  How Do You Count a Dozen Ducklings?  Seon Chae  
3  Bean Thirteen  Matthew McElligott  470L 
4  The Lion's Share  Matthew McElligott  550L 
5  Full House: An Invitation to Fractions  Dayle Ann Dodds  530L 
6  A Fraction's Goal ― Parts of a Whole  Brian P. Cleary  620L 
Module Outing:
Take some time to apply what your student is learning to the real world. Suggested outings are below.
#  Outing 
