# Module 1 - Math 4A - Course Guide

## Module Overview:

In this module students will write multiplication equations and will learn multiplication comparisons. Students will solve equations with an unknown and will identify parts of word problems. Students will translate comparisons into equations with an unknown and solve. Students will learn about Interpretation, estimation strategies, and remainders.

## Module Materials:

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

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Writing Multiplication
1. Identify and write multiplicative equations.
2 Multiplication Comparison
1. Make multiplicative comparisons.
3 Solving Basic Equations
1. Solve basic multiplication equations for an unknown.
4 Parts of a Word Problem
1. Identify the known and unknown parts of a word problem.
5 Translation into Equations
1. Translate comparative situations into equations with an unknown and solve
6 Interpretation
1. Interpret word problems
7 Estimation Strategies
1. Use acceptable estimation strategies and justify the solution.
8 Remainders
1. Add two multi-digit whole numbers with accuracy; efficiency and flexibility.

Module Key Words:

Key Words
math
multiplier
multiplicative
multiplication
compare
comparison
unknown
variable
constant
dividend
divisor
quotient
interpret
strategies
operations
compatible
estimation
division
remainder

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Writing Multiplication 2 Multiplication Tables
2 Multiplication Comparison 4 Multiplication Comparison Practice
3 Solving Basic Equations 4 Solving Basic Equations Practice
4 Parts of a Word Problem 6 Parts of a Word Problem Practice
5 Translation into Equations 2 Solving the "whole" problem
6 Interpretation 8 Interpretation Practice
7 Estimation Strategies 8 Estimation Word Problem Practice
8 Remainders 5 Remainder Practice

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Writing Multiplication Have your student write 5 multiplication stories using multiplication facts.
2 Multiplication Comparison Have your student create a chart that shows the steps shared to help solve a story problem that are listed on page 2 of the lesson. They can place the chart they create in a visible location to refer to when solving story problems.
3 Solving Basic Equations Give your student 5 sample equations and have them identify the variable in each equation. Then have them solve the equation.
4 Parts of a Word Problem In this lesson as students watch the first video Titled Equations with Variables have them get two index cards and write the words equation and variable on each card with the definition on the back. Post the cards on a word wall or some place they can be seen for the student to refer to as needed.
5 Translation into Equations In their Math notebook have your student write down steps to solving an equation with an unknown in it.
6 Interpretation Have your student recreate the chart on page 4 of this lesson that gives key words used for each operation in a word problem. Have them post the chart someplace visible so that they can use it to help them solve word problems. Have your student write out on a piece of paper a Word Problems Questions chart. Have them write: What do we know? What am I being Asked? And What is the plan? Have them post this chart some place where they can refer to it while solving word problems.
7 Estimation Strategies Be Sure to have your student print the steps to solving a word problem located on page 3 of this lesson. Have them put the document someplace where they can easily refer to it when solving word problems. Review the strategies listed on the document with your student and ask them to explain what they mean in their own words.
8 Remainders

## 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
Writing Multiplication
1. What is multiplication?
Multiplication Comparison
1. Why is it helpful to make comparisons when multiplying?
Solving Basic Equations
1. What is an unknown in a math problem?
Parts of a Word Problem
1. What is an equation?
2. What are the parts of a word problem?
Translation into Equations
1. What is an equation?
Interpretation
1. What are some strategies you can use for estimation?
2. What are some key words that describe mathematical operations?
Estimation Strategies
1. What strategies do you use to solve word problems?
2. What are compatible numbers?
3. How can estimation help you solve word problems?
Remainders
1. What does remainder mean?

## 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
Writing Multiplication Writing a Problem Using a Multiplication Sentence
1. What steps does this teacher use to solve the problems in this video?
Solving Basic Equations Variables or Mathematical Code
1. How are symbols used in the mathematical world?
2. How can symbols represent variables?
Parts of a Word Problem Equations with Variables
1. What is an equation?
2. Write down examples of equations from this video in your Math notebook.
Parts of a Word Problem Solving for an Unknown
1. What are the steps involved in finding the unknown in a math problem?
Translation into Equations Equations with Variables
1. What is an equation?
2. How do you use a variable to find an unknown number?
Interpretation Estimation
1. What does it mean to estimate?
2. When would you have to use estimation in life?
Interpretation Applying Estimation to Word Problems
1. What steps does the teacher use to apply estimation to word problems?
Estimation Strategies Word Problems
1. What is a word problem?
2. What are some steps to solving word problems?
Estimation Strategies Estimation Strategy
1. What strategies do the biologists use to track population?
Remainders The Remainder in Division
1. When you solve division problems, you sometimes get a remainder.
2. How do you know what remainder means?
3. What are you going to do with the leftovers?
4. Can you break up the remainder?
Remainders Interpret the Remainder
1. What is a remainder?
2. When do you round up?
3. When do you round down?

## 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 Mystery Math: A First Book of Algebra David A. Adler 600L
2 Math For All Seasons: Mind-Stretching Math Riddles Gregory Tang NP
3 Great Estimations Bruce Goldstone 560L
4 A Remainder of One Elinor J Pinczes 640L

## Module Outing:

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

# Outing