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
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
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
  1. Multiply numbers using clustering.
  2. Multiply two whole numbers using models or equations based on the distributive property.
2 Regrouping Multiplication
  1. Multiply numbers using regrouping.
3 Multiplying with Arrays
  1. Multiply numbers using the arrays model.
4 Applications of Multiplication
  1. Apply any of the multiplication strategies to solve real-life problems.
5 Long Division
  1. Divide numbers using long division.
6 Dividing Using Grouping
  1. Divide numbers using groups for the divisor.
7 Area Model
  1. Divide numbers using area models.
8 Application of Division Strategies
  1. Apply any of the division strategies to solve real-life problems.
9 Fraction Parts
  1. Define fraction, numerator, denominator, fraction bar.
10 Fraction Shape
  1. Identify the number of shaded parts and the number of equal parts in a shape (circle, rectangle).
  2. Create a model of a fraction.
11 Writing Fractions
  1. Write a fraction using mathematical notation and using words.

Module Key Words:

Key Words
multiplication facts
four-digit multiplication
math sentences
double-digit multiplication
long division
division bracket
grouping strategy
area model
division strategy
problem solving
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:


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
  1. What is clustering?
Regrouping Multiplication
  1. What is re-grouping in multiplication?
  2. What is the commutative property?
Multiplying with Arrays
  1. What is an array?
Applications of Multiplication
  1. What are the different ways you can multiply large numbers?
Long Division
  1. How do you solve long division problems?
Dividing Using Grouping
  1. How do you divide using grouping?
Area Model
  1. What is an area model?
  2. What does it mean that division is known as the inverse of multiplication?
Application of Division Strategies
  1. What are some strategies you can use to solve division problems?
Fraction Parts
  1. What are the parts of a fraction?
Fraction Shape
  1. How does modeling help with understanding fractions?
Writing Fractions
  1. How do you write 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
  1. What are the problems the kids have to solve to get out of the Maths Mansion?
  2. Can you solve them before the kids do?
Regrouping Multiplication Four Digit Multiplication
  1. What are the steps involved in multiplying four digit numbers?
Multiplying with Arrays 1001 Naughts
  1. How are arrays used to multiply in this video?
Multiplying with Arrays Completing Multiplication Sentences Using Arrays
  1. How does an array represent multiplication sentences?
Long Division Division and Multiplication - Beads
  1. How can beads teach us the properties of division?
Long Division Division Procedures
  1. What are the steps to long division?
Dividing Using Grouping Dividing Using Grouping
  1. What is a grouping strategy?
Area Model Understanding the Relationship Between the Remainder and the Divisor
  1. How can you use base ten blocks to understand the relationship between the remainder and the divisor?
Application of Division Strategies Dividend, Divisor and Quotient
  1. What is the dividend?
  2. What is the divisor?
  3. What is the quotient?
Application of Division Strategies Division Word Problems
  1. What are the steps to solving a word problem?
  2. What are some strategies you can use to solve division word problems?
Fraction Parts Fractions for Food
  1. What food was broken into fractions?
Fraction Parts Parts of a Whole
  1. What is a fraction?
  2. What is the numerator of a fraction?
  3. What is the denominator of a fraction?
Fraction Shape Modeling Fractions
  1. Describe how you model fractions.
Writing Fractions Read and Write Fractions
  1. What is a fraction?
  2. What is the denominator?
  3. What is the numerator?
  4. How do you read a fraction?
  5. How do you write a fraction?

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