# Arithmetic and Pre-Algebra Teacher Resources

Most elementary and middle schools just call this "Math". Here we cover everything from counting, number operations, and fractions to evaluating basic expressions and equations. All of this adds up to preparation for the eventual study of Algebra.
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#### Balanced Assessment: Advanced High School Math Packet

For Teachers 11th - 12th Standards
Nineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...
3:54
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#### What is the Opposite, or Additive Inverse, of a Number?

For Teachers 7th - 9th
Teach your class about the additive inverse! Using examples first and a definition second, this video explains what the additive inverse it and how to find the additive inverse of any given number or variable. A quick concept review for...
9:21
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For Teachers 4th - 6th
Charley and Professor Perez show us how to add numbers in a variety of ways. They use a number line to show how the various methods work. This clip shows learners that there are multiple ways to solve any addition problem. Intended for...
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#### Review of Pre-Algebra

For Students 7th - 9th
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
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#### Simplify Algebraic Fractions by Factoring

For Students 9th - 12th Standards
A brief presentation with laser-like focus, this video talks young mathematicians through the mechanics of simplifying algebraic fractions by factoring trinomials. While the factoring itself is assumed to be a mastered skill, the steps...
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#### Simplify Algebraic Fractions by Factoring 2

For Students 9th - 12th Standards
Take your class through the mechanics of simplifying algebraic fractions by factoring trinomials. Though the steps for factoring are assumed known, the process of identifying and canceling common factors are detailed with care and...
4:18
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#### How Do You Find the Additive Inverse of a Polynomial?

For Teachers 6th - 12th
Finding the additive inverse is not as complicated as you might think. The instructor demonstrates how to multiply each of the terms in the polynomial by -1 and explains how this works. But wait, there's a quicker way. What's that you...
3:48
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#### How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?

For Teachers 8th - 11th
You have an equation with an unknown variable and fractions. How do you solve this kind of equation? You can do it using the addition property of equality to first isolate the variable. Then, combine the fractions and since they have a...
2:21
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#### How Do You Solve an Equation Using Addition?

For Teachers 6th - 12th
The teacher demonstrates how to use the addition property of equality, applying it to both sides of the equation to find the solution.
1:44
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#### How Do You Rewrite Subtraction as Addition?

For Teachers 6th - 12th
A quick look at how to write a subtraction as an addition problem. The first value stays the same and the second value becomes the opposite value which is added to the first.
1:25
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#### What's the Addition Property of Equality?

For Teachers 6th - 12th
A basic definition of the addition property of equality. Use this video to recap a lesson on the addition property of equality, or have learners use it as a reference tool when they are working at home.
3:43
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#### How Do You Find the Additive Inverse of a Polynomial?

For Teachers 8th - 9th
Finding the additive inverse is not as complicated as you might think. The instructor demonstrates how to multiply each of the terms in the polynomial by -1 and explains how this works. But wait, there's a quicker way. What's that you...
1:44
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#### How Do You Solve an Equation Using Addition?

For Teachers 6th - 9th
The teacher demonstrates how to use the addition property of equality, applying it to both sides of the equation to find the solution.
1:15
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#### What's the Addition Property of Inequality?

For Teachers 6th - 9th
The addition property of inequality is just like the addition property of equality. They each state that whatever is added to one side of the equation or inequality must be added to the other side. Watch this video and see how the...
3:25
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#### How Do You Solve a Decimal Inequality Using Addition?

For Teachers 8th - 9th
In order to solve this inequality use the addition property of inequality to isolate the variable. Don't forget that these are decimal numbers. So be sure to line up the decimals according to the rules of adding decimals.
2:42
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#### How Do You Solve an Inequality Using Addition?

For Teachers 6th - 12th
Use the addition property of inequality to solve this problem. It's just a one step solution and then the instructor shows how to write the answer in set builder notation.
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#### Pre-Algebra Basic Operations: Decimals

For Students 6th - 7th
In this pre-algebra decimal worksheet, students complete a total of 28 problems performing multiplication, division, subtraction and addition of decimals and fractions.
2:20
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#### How Do You Use Addition to Solve an Inequality Word Problem?

For Teachers 8th - 10th
Word problems. Inequalities. Money. What? Does Marissa have enough money left in her bank account to go to the movies? One variable, two given amounts. Set up this inequality to determine how much Marissa needs to have in her bank...
4:04
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#### What are Inverse Operations?

For Teachers 6th - 12th
Explore inverse operations. Video viewers watch as a teacher shows how to "undo" an operation by using the opposite operation. By the end, learners should grasp that addition is the opposite of subtraction and division is the opposite of...
2:47
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#### How Do You Solve a Two-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

For Teachers 6th - 9th
In order to solve any equation, one must isolate the variable. The teacher demonstrates how to solve this multi-step equation first by using the addition property of equality and then multiplying by the reciprocal of the fraction...
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#### Adding & Subtracting Fractions and Mixed Numbers

For Students 7th - 9th
In this pre-algebra addition and subtraction of fractions and mixed numbers instructional activity, students add or subtract fractions in the first 10 problems. They write the answers in simplest terms. They add or subtract mixed numbers...
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#### Who Wants to Win Millions?

For Teachers 5th - 7th
Similar to the popular game Jeopardy, pre-algebra students will play to win. This game focuses on solving and writing simple equations using subtraction, multiplication, or addition. A great way to review for the big test!
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#### Pre Algebra Variables

For Students 5th - 10th
Here is a variable equations worksheet which invites learners to solve equations with variables in them involving addition, subtraction, multiplication, and division. Pupils complete nine problems.
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#### The Sum of Our Integer Intelligences

For Teachers 7th - 8th
Young mathematicians explore integers. They review adding integers through engaging in mathematical labs. Each lab station is designed to reflect one of the multiple intelligences. Resources for all activities are provided.