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 
pen or pencil scissors 
2  Regrouping Multiplication  pen or pencil; 
3  Multiplying with Arrays 
pen or pencil lined paper or graph paper 
4  Applications of Multiplication  pen or pencil; 
5  Long Division  pen or pencil; 
6  Dividing Using Grouping  pen or pencil; 
7  Area Model 
pen or pencil lined paper or graph paper 
8  Application of Division Strategies  pen or pencil; 
9  Fraction Parts 
pen or pencil scissors 
10  Fraction Shape 
pen or pencil crayons or colored pencils 
11  Writing Fractions  pen or pencil; 
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 facts clustering tiles Distributive addends multiplication commutative regrouping fourdigit multiplication array math sentences doubledigit multiplication application strategy long division quotient dividend divisor division bracket dividing remainder grouping strategy division area model division strategy problem solving fraction numerator denominator fraction bar fraction modeling modeling fractions 
Module Assignments:
Lesson #  Lesson Title  Page #  Assignment Title 

1  Clustering  7  Multiplying with Tiles Worksheet 
2  Regrouping Multiplication  4  Regrouping Activity 
3  Multiplying with Arrays  8  Multiplication: Using Arrays Assignment 
4  Applications of Multiplication  2  Applications Practice 
7  Area Model  7  Division Through Modeling Assignment 
9  Fraction Parts  9  Writing Fractions Assignment 
10  Fraction Shape  3  Identifying Fractions Worksheet 
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 

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 
