Math 3: Module 8: Arithmetic Patterns - Course Guide

Module Overview:

In this module, students will identify number patterns in even and odd numbers, identify and use the properties of operations for addition and multiplication, and identify number patterns in an addition table. Students will identify number patterns in a multiplication table and identify how decomposing and adjusting numbers can help when adding and subtracting.

Module Materials:

Lesson # Lesson Title Material(s)
1 Even and Odd Numbers crayons or colored pencils
pen or pencil
2 Properties of Operations scissors
glue
crayons or colored pencils
pen or pencil
3 Addition Table Patterns crayons or colored pencils
pen or pencil
4 Multiplication Table Patterns  crayons or colored pencils
pen or pencil
5 Decomposing and Adjusting Numbers to Add and Subtract crayons or colored pencils
pen or pencil

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Even and Odd Numbers
  1. Identify number patterns in even and odd numbers.
2 Properties of Operations
  1. Identify and use the properties of operations for addition and multiplication.
3 Addition Table Patterns
  1. Identify number patterns in an addition table.
4 Multiplication Table Patterns 
  1. Identify number patterns in a multiplication table.
5 Decomposing and Adjusting Numbers to Add and Subtract
  1. Identify how decomposing and adjusting numbers can help when adding and subtracting.

Module Key Words:

Key Words
even
odd
identity property
commutative property
associative property
distributive property
addition table
addition
Multiplication table
Multiplication
decomposing
adjusting
subtraction

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Even and Odd Numbers 5 Hands-On
2 Properties of Operations 5 Hands-On 
3 Addition Table Patterns 5 Hands-On
4 Multiplication Table Patterns  5 Hands-On
5 Decomposing and Adjusting Numbers to Add and Subtract 5 Hands-On 

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
Even and Odd Numbers
  1. What makes a number even or odd?
Properties of Operations
  1. Can you use the properties of operations to solve addition equations?
Addition Table Patterns
  1. What is an addition table, and how can we use its patterns to add?
Multiplication Table Patterns 
  1. What is a multiplication table, and how can we use its patterns to multiply?
Decomposing and Adjusting Numbers to Add and Subtract
  1. When can we decompose and adjust numbers to help us add?

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
Even and Odd Numbers Even and Odds
  1. How can you make an even or odd number using addition or subtraction?
Properties of Operations Properties of Operations
  1. How can you add using the properties of operations?
Addition Table Patterns Calorie Count Addition Patterns
  1. How can you use addition table patterns to add?
Multiplication Table Patterns  Recipe Multiplication Patterns
  1. How can you use patterns in a multiplication table to help you multiply?
Decomposing and Adjusting Numbers to Add and Subtract Decompose and Adjust to Healthy Snacks
  1. How can you decompose and adjust numbers to add and subtract?

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