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Variables in Algebra: Unlocking the Power of Unknown Values

NL.SO.3N1

Using counting to add digits up to 100

Adding By Counting — Up to 100

Multiplying by skip counting up to 99

Multiplication By Skip Counting — Up to 2 Digits

NL.SO.3N10

Adding with Doubles Up to 1000

Adding Doubles — Up to 1000

Addition with Regrouping Up to 1000

Add By Regrouping — Up to 1000

NL.SO.3N11

Multiplying Digits with 5 and 10 Up to 999

Multiplication by Five or Ten — Up to 100

Times Tables

Multiplication Times Table — Up to 2 Digits

Using Models to Multiply Up to 999

Multiplication by Models — Up to 3 Digits

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

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

NL.SO.3N12

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 Multiplication with Division Up to 999

Relating Multiplication with Division

Division Word Problems Up to 999

Division Word Problems — Up to 3 Digits

NL.SO.3N13

Equivalent fractions

Equivalent Fractions

NL.SO.3N2

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

Reading and Writing Digits

Reading and Writing Digits — Up to 20

Reading and Writing Digits — Up to 99

NL.SO.3N3

Place value tables up to 999

Place Value Tables — Up to 999

Converting Between Place Values of Multi-Digits

Conversions To and From — Up to 9999

Comparing Values of Multi-Digits

Place Value Comparing Numbers — Up to 999

Regrouping Place Values of Multi-Digits

Place Values Regrouping — Up to 999

NL.SO.3N4

Addition using Estimation

Add By Estimation — Up to 1000

Subtraction using Estimation

Subtract By Estimation — Up to 1000

NL.SO.3N5

Place Value Tables of Multi-Digits

Place Value Tables — Multi-Digit

NL.SO.3N6

Simplifying Addition by Making 10s

Making Tens to Add

Addition with Tens and Ones

Adding By Tens — Up to 1000

NL.SO.3N9

Adding with Digits Up to 1000

Add By Digits — Up to 1000

Simplifying Addition by Separating

Addition by Separation — Up to 1000

Addition by Separation — Up to 999

Addition Tables Up to 1000

Add By Number Table — 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

Subtraction with Regrouping Up to 1000

Subtract with Regrouping — Up to 1000

Subtraction Word Problems Up to 1000

Subtraction Word Problems — Up to 1000

NL.SO.3PR3

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

Identifying the Missing Digits (Addition)

Fill in the Blank — Up to 1000

Identifying the Missing Digits (Subtraction)

NL.SO.3SS5

Perimeter: Grid squares and polygons

Perimeter of Polygons

Perimeter Equation of Polygons

Calculating and Estimating Area and Perimeter

Grade 3

Number

Patterns and Relations

Statistics and Probability

Shape and Space

math

Intro

Solving 2 times unknown equals 18 using circle models

Solving 18 divided by 3 using circle models

Solving a multiplication equation using circle models

Solving 4 plus unknown equals 8 using a circle model

Solving a division equation using a circle model

Solving 6 = 5 + ? using a circle model

Solving for unknowns using addition, subtraction, multiplication, and division

Solving 12 minus 5 using circle models to find the unknown

Defining algebra and variables as letters for unknowns

Solving 8 minus unknown equals 3 using circle models

Intro to equations and the four basic operations

Using equation models for all four operations

Writing a multiplication equation from the phrase "product of 4 and 6 equals A"

Translating word sentences into algebra equations for all four operations

Writing a multiplication equation with a variable from a word phrase

Writing a division equation from a word phrase with variable k

Writing a division equation from a word phrase using a variable

Writing an addition equation with a variable from a word problem

Writing a subtraction equation with a variable from a word problem

Comparing "times as many" word problems with multiplication and division

Translating "10 more than H equals 64" into an equation

Translating "73 increased by x equals 109" into an equation

Translating "B less than 8 equals 2" into a subtraction equation

Translating "24 decreased by s equals 17" into an algebra equation

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>