# Module 2 - Math 4A - Course Guide

## Module Overview:

In this module students will learn to factor. They will learn about prime numbers, common multiples, and composite numbers. Students will learn to identify basic patterns and learn about arithmetic number patterns. They will learn about T-charts, place value and estimation, and multiplying 10 and 100.

## Module Materials:

• Pencils
• Crayons or colored pencils
• Notebook
• Scissors
• Glue
• Highlighter
• Markers
• Blank paper

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Factoring
1. Find factors of whole numbers.
2 Prime Numbers
1. Use factoring rules to classify numbers as prime and justify answer.
3 Common Multiples
1. Find multiples of whole numbers.
4 Composite Numbers
1. Use factoring rules to classify numbers as composite; and justify answers.
5 Basic Patterns
1. Identify attributes that determine a pattern.
6 Arithmetic Number Patterns
1. Identify number patterns
7 T-Charts
1. Use a t-chart to identify number patterns.
8 Rounding
1. Round numbers to the nearest tens and hundreds place.
9 Estimating
1. Use rounding to make estimates.
10 Place Value
1. Identify place value in multi-digit whole numbers.
11 Multiplying by 10 and 100
1. Multiply by 10 and 100.

Module Key Words:

Key Words
math
factor
cryptography
prime numbers
composite numbers
factoring
multiples
common multiples
factors
factor tree
divisible
rule
ascending
descending
numerical
pattern
t-charts
rouning
place value
estimate
rounding
digit

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Factoring 7 More Practice
2 Prime Numbers 5 Prime Numbers Practice
3 Common Multiples 3 Multiples Practice
4 Composite Numbers 4 Prime Factor Practice
7 T-Charts 7 T-Charts Practice
8 Rounding 7 Rounding to the Hundreds Practice
9 Estimating 5 Estimation Practice
10 Place Value 10 More Place Value Practice

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Factoring
2 Prime Numbers On index cards write various numbers down. Flash a number to your student and have them identify if it is a prime number or not. If they say it is prime, ask them to explain why.
3 Common Multiples In this lesson use the numbers you wrote on index cards for prime numbers and show them to your student. Ask the student to name multiples of each number.
4 Composite Numbers Use the number cards you created from the previous lessons and have your student identify which ones are prime and composite. Ask them to explain why the number is prime or composite.
5 Basic Patterns Have your student draw the different types of patterns (AB, AAB, ABC, etc) in their Math notebook.
6 Arithmetic Number Patterns On page 5 of this lesson steps are given to help a student find the rule in a number pattern. Have your student create a chart listing the steps given. Title the chart “Finding the Rule in a Number Pattern”. Have your student explain their chart and put the chart some place where they have access to it when needed.
7 T-Charts In their Math notebook have your student describe what a T-Chart is and how it is used.
8 Rounding After your student completes this lesson have them create a chart that summarizes the rules for rounding. Ask them to explain their chart and put it in a location where they can refer to it as needed.
9 Estimating 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.
10 Place Value 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. If your student is having a hard time understanding place value make a chart showing place value like the one on page 8 of this lesson, place the chart someplace where the student can refer to it if needed.
11 Multiplying by 10 and 100 Give your student 5 numbers and have them multiply each number by 10 and 100. Have them write their answers in their Math notebook.

## 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
Factoring
1. What are the Divisibility Rules?
2. What is factoring?
3. What are factors?
4. How do you find factors?
Prime Numbers
1. What is a prime number?
Common Multiples
1. What is a multiple?
Composite Numbers
1. What is a composite number?
2. What is prime factoring?
Basic Patterns
1. What is a pattern?
Arithmetic Number Patterns
1. How can you identify number patterns?
2. What are the rules to finding number patterns?
T-Charts
1. What is a T-Chart?
2. What information can you gather from a T-Chart?
Rounding
1. What is rounding?
Estimating
1. What does it mean to estimate?
Place Value
1. What is Place Value?
Multiplying by 10 and 100
1. What does multiplying by 10 and 100 do to place value?

## 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
Factoring Factor Numbers
1. What is factoring?
2. What are the steps shown to factor numbers?
Prime Numbers Investigating Prime Numbers
1. What are prime numbers?
2. How can you find a prime number?
Prime Numbers Prime and Composite Numbers
1. What is the difference between prime and composite numbers?
Common Multiples Factors and Multiples
1. What is a multiple?
2. What is a factor?
3. What is a composite number?
Common Multiples Multiples and Least Common Multiples
1. How do you find the multiple of a number?
2. How do you find the Least Common Multiple?
Composite Numbers Prime and Composite Numbers
1. What is a prime number?
2. What is a composite number?
3. How can you tell the difference between a prime and composite number?
Composite Numbers Use Tiles to Show Prime and Composite Numbers
1. Describe how tiles are used to show prime and composite numbers.
Basic Patterns Basic Patterns
1. What is a pattern?
2. What is an attribute?
3. What types of patterns are there?
Arithmetic Number Patterns Find a Pattern
1. What are ways you can find a pattern in a series of numbers?
T-Charts Find a Function Rule Using a T-table
1. How is a T-chart used to help find the rule of a number pattern?
2. What was the output rule on the T-table shown in the video?
Rounding Rules for Rounding
1. What are the rules of rounding?
Rounding Round to Nearest Ten and Hundred
1. What rules for rounding are used in this video lesson?
Estimating Estimating Computations
1. How can estimating help us avoid problems?
Estimating Estimate Products
1. What are the two methods shown to estimate products?
Place Value Place Value
1. Describe how place value is used in this video.
Place Value Place Value Through Millions
1. What is the standard form of a number?
2. What is the word form of a number?
3. What is the expanded form of a number?
4. What do all of these forms have to do with place value?
Multiplying by 10 and 100 Maths Mansion
1. What are the math challenges the children have to do in this video?
Multiplying by 10 and 100 Multiply Multiples of 10 and 100
1. How does using patterns of zeros help you multiply by 10 and 100?

## 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 You Can Count on Monsters Richard Evan Schwartz
2 A-B-A-B-A―a Book of Pattern Play Brian P. Cleary
3 Coyotes All Around Stuart J. Murphy
4 Greater Estimations Bruce Goldstone 710L
5 Zero: Is It Something? Is It Nothing? Claudia Zaslavsky

## Module Outing:

Take some time to apply what your student is learning to the real world. Suggested outings are below.

# Outing