About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Variables in Algebra: Unlocking the Power of Unknown Values

Grade 3 Math: Master Essential Skills & Concepts

Interpret quantity to 100 000

Place Value Tables of Multi-Digits

Place Value Tables — Multi-Digit

Identifying the Place Value of a Digit

Place Value of a Digit — Multi-Digits

Expanded Form of Multi-Digits

Place Values in Expanded Form — Up to 10K

Place Values in Expanded Form — Up to 999

Converting Between Place Values of Multi-Digits

Conversions To and From — Up to 9999

Reading and Writing Digits

Reading and Writing Digits — Up to 20

Reading and Writing Digits — Up to 99

Comparing Values of Multi-Digits

Place Value Comparing Numbers — Up to 999

Regrouping Place Values of Multi-Digits

Place Values Regrouping — Up to 999

Place Value Word Problems of Multi-Digits

Place Value Word Problems — Up to 10K

Place Value Word Problems — Up to 999

Recognizing coins and bills

Name the Coin by Picture

Name the Coin by Value

Coin Values by Name

Examine addition and subtraction within 1000

Adding with Digits Up to 1000

Add By Digits — Up to 1000

Adding with Doubles Up to 1000

Adding Doubles — Up to 1000

Addition using Estimation

Add By Estimation — Up to 1000

Simplifying Addition by Making 10s

Making Tens to Add

Addition with Tens and Ones

Adding By Tens — Up to 1000

Simplifying Addition by Separating

Addition by Separation — Up to 1000

Addition by Separation — Up to 999

Addition with Regrouping Up to 1000

Add By Regrouping — Up to 1000

Addition Tables Up to 1000

Add By Number Table — Up to 1000

Identifying the Missing Digits (Addition)

Fill in the Blank — Up to 1000

Addition Word Problems Up to 1000

Addition Word Problems — Up to 1000

Addition Word Problems — Up to 200

Subtracting with Digits Up to 1000

Subtract By Digits — Up to 1000

Identifying the Missing Digits (Subtraction)

Subtraction using Estimation

Subtract By Estimation — Up to 1000

Subtraction with Regrouping Up to 1000

Subtract with Regrouping — Up to 1000

Subtraction Word Problems Up to 1000

Subtraction Word Problems — Up to 1000

Analyze and apply strategies for multiplication and division within 100

Multiplying Digits with 5 and 10 Up to 999

Multiplication by Five or Ten — Up to 100

Multiplying Digits with 0 and 1 Up to 999

Multiplication by One or Zero — Up to 999

Times Tables

Multiplication Times Table — Up to 2 Digits

Using Models to Multiply Up to 999

Multiplication by Models — Up to 3 Digits

Multiplying using Mental Strategies

Split into Smaller Calculations Strategy — Up to 999

Repeated Addition As Multiplication Up to 999

Multiplication by Repeated Addition — Up to 999

Multiplying with Digits Up to 999

Multiplication by Digits — Up to 3 Digits

Square Numbers

Square numbers — Up to 100

Multiplying with 3 Numbers Or More

Multiplication of Three or More Numbers

Multiplication Tables Up to 999

Multiplication Tables — Up to 100

Multiplication Tables — Up to 200

Multiplication Word Problems Up to 999

multiplication word problems up to 999

Sharing & Grouping Up to 999

Sharing and Partitioning — Up to 3 Digits

Dividing with Arrays

Dividing with Arrays — Up to 100

Remainders from Division Up to 999

Sharing and Remainders — Up to 3 Digits

Dividing with Digits Up to 999

Division By Digits — Up to 3 Digits

Relating Addition with Division

Relating Multiplication with Division Up to 999

Relating Multiplication with Division

Understanding the Division Sign Up to 999

Division Language — Divided By

Division Language — Sharing

Division Tables Up to 999

Division Tables — Up to 100

Division Tables — Up to 200

Division Word Problems Up to 999

Division Word Problems — Up to 3 Digits

Interpret fractions in relation to one whole

Equivalent fractions

Equivalent Fractions

Illustrate equality with equations

auto-gen

What are variables in algebra?

Writing Equations with Variables

Introduction to solving equations with Variables

Solving Equations by Isolating the Variable Addition

Solving Equations by Isolating the Variable Division

Solving Equations by Isolating the Variable Multiply

Solving Equations by Isolating the Variable Subtract

Rewriting Equations with Variables

Introduction to solving patterns in T-tables and equations

T-tables: Complete the Pattern (1-step equations)

T-tables: Write the Equation (1-step equations)

T-tables: Write the Equation (2-step equations)

T-tables: Complete the Pattern Ascending

Grade 3

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade3math.png

Intro

In this lesson, we will learn:
<ul type = "disc">
<li>The parts of a math equation for all four operations: addition, subtraction, multiplication, division</li>
<li>How to do basic algebra: solving for unknowns (variables) in equations</li>
<li>How to write algebra equations from word sentences by using equation models to help</li>
</ul>

 Notes: 
<ul type = "disc">
<li>A math equation can be thought of as a mathematical sentence which needs terms, an operation and an answer</li>
</ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-6-2-x-1/v1/math4-6-2-x-1-994w.jpg" width="600" alt="What are Variables in Algebra?"> </center>

<ul type = "disc">
 <li>An unknown is a value that we don&apos;t know in an equation yet; we need to solve the equation to find the unknown through guess-and-check (knowing that values must be equal on both sides of the equal sign)</li>
</ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-6-2-x-2/v1/math4-6-2-x-2-995w.jpg" width="600" alt="What are Variables in Algebra?"> </center>

<ul type = "disc">
 <li>Algebra is a type of math where we will see BOTH numbers and letters (or symbols)!</li>
<ul type = "circle">
 <li>We use variables (letters or symbols) to represent unknown values:</li>
</ul></ul>

<center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-6-2-x-3/v1/math4-6-2-x-3-995w.jpg" width="600" alt="What are Variables in Algebra?"> </center>

<ul type = "disc">
 <li>Equation models help identify all the terms when you&apos;re dealing with word sentences so that you can write an algebra equation</li>
</ul>

 <center><img src="https://dmn92m25mtw4z.cloudfront.net/img_set/math4-6-2-x-4/v1/math4-6-2-x-4-1019w.jpg" width="600" alt="What are Variables in Algebra?"> </center>

<ul type = "circle"> 
<ul type = "circle"> 
<li>i.e. "36 added to 41 equals \(y\)." \(\, \rightarrow \, \)36 + 41 = \(y\)</li>
 <li>i.e. "15 less than \(f\) equals 13." \(\, \rightarrow \, \)\(f\) - 15 = 13 </li>
 <li>i.e. "2 times as many as 7 is \(m\)." \(\, \rightarrow \, \)2 &times; 7 = \(m\) </li>
 <li>i.e. "\(x\) is 3 times less than 15" \(\, \rightarrow \, \)\(x\) = 15 &divide; 13 </li>
</ul></ul>

<ul type = "disc">
 <li>Keywords (key phrases) for each operation include:</li>
<ul type = "circle"> 
<li>Addition: "added to", "more than", "increased by"</li>
<li>Subtraction: "subtracted from", "less than", "decreased by"</li>
<li>Multiplication: "multiplied by", "times", "times as many", "each", "groups"</li>
<li>Division: "divided by", "times as many", "split into groups"</li>
</ul></ul>