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

B1.1 Whole Numbers

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

Regrouping Place Values of Multi-Digits

Place Values Regrouping — Up to 999

B1.2 Whole Numbers

Comparing Values of Multi-Digits

Place Value Comparing Numbers — Up to 999

B1.3 Whole Numbers

Rounding numbers

Rounding Decimals

Rounding Integers — Up to 9999

B1.5 Whole Numbers

Place Value Word Problems of Multi-Digits

Place Value Word Problems — Up to 10K

Place Value Word Problems — Up to 999

B1.7 Fractions

Equivalent fractions

Equivalent Fractions

B2.1 Properties and Relationships

Relating Multiplication with Division Up to 999

Relating Multiplication with Division

B2.2 Math Facts

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

B2.3 Mental Math

Addition using Estimation

Add By Estimation — Up to 1000

Subtraction using Estimation

Subtract By Estimation — Up to 1000

B2.4 Addition and Subtraction

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

Identifying the Missing Digits (Subtraction)

Fill in the Blank — Up to 1000

B2.5 Addition and Subtraction

Adding with Digits Up to 1000

Add By Digits — Up to 1000

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)

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

Subtraction with Regrouping Up to 1000

Subtract with Regrouping — Up to 1000

Subtraction Word Problems Up to 1000

Subtraction Word Problems — Up to 1000

B2.6 Multiplication and Division

Using Models to Multiply Up to 999

Multiplication by Models — Up to 3 Digits

Dividing with Arrays

Dividing with Arrays — Up to 100

B2.7 Multiplication and Division

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

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

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

B2.8 Multiplication and Division

Repeated Addition As Multiplication Up to 999

Multiplication by Repeated Addition — Up to 999

B2.9 Multiplication and Division

auto-gen

Applications of the four operations (BEDMAS without exponents)

Combining Multiplication and Addition

Applying BEDMAS Without Exponents

C2.1 Variables

What are variables in algebra?

Writing Equations with Variables

C2.2 Equalities and Inequalities

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

C2.3 Equalities and Inequalities

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

D1.1 Data Collection and Organization

Organizing data using Venn diagrams

Identifying Attributes

Venn Diagram Categories

Carroll diagrams

Carroll Diagrams — Convert From Venn

Carroll Diagrams — Convert to Venn

Carroll Diagrams — Another Value

Carroll Diagrams — Sorting Data

D1.4 Data Analysis

Introduction to mean, median, mode, and range

Median of a Dataset

Range of a Dataset

E2.7 Area

Area - unit squares and pattern blocks

Area by Unit Squares

E2.8 Area

Square measure

Converting Square Units

Calculate the Square Area

E2.9 Area

Calculating and Estimating Area and Perimeter

F1.1 Money Concepts

Recognizing coins and bills

Name the Coin by Picture

Name the Coin by Value

Coin Values by Name

Grade 3

B1. Number Sense

B2. Operations

C1. Patterns and Relationships

C2. Equations and Inequalities

C3. Coding

D1. Data Literacy

D2. Probability

E1. Geometric and Spatial Reasoning

E2. Measurement

F1. Money and Finances

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>