# 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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#### Simplify Algebraic Fractions by Factoring

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

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...

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#### How Do You Find the Additive Inverse of a Polynomial?

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...

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#### How Do You Solve an Equation Using Addition?

The teacher demonstrates how to use the addition property of equality, applying it to both sides of the equation to find the solution.

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#### How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?

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...

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#### Review of Pre-Algebra

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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#### How Do You Solve an Inequality Using Addition?

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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#### What's the Addition Property of Equality?

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.

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#### How Do You Solve an Equation Using Addition?

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#### What is the Opposite, or Additive Inverse, of a Number?

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...

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#### How Do You Solve a Two-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

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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#### Writing Task 6.EE.4 Item 2

Young mathematicians demonstrate their knowledge of algebraic expressions with this short writing exercise. Using their understanding of multiplication as repeated addition, learners must explain in writing whether or not two given...

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#### Writing Task 6.EE.4

Assess the mathematical reasoning of young learners with this quick writing exercise. Presented with with two algebraic expressions, young mathematicians must explain whether or not they are equivalent using their understanding of the...

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#### Pre-K Mathematics

Kick-start children's education with this pre-school math unit. Offering 31 different hands-on learning activities that develop young mathematicians' pattern and shape recognition, basic number sense, and much more, this is a must-have...

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#### Addition Techniques

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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#### How Do You Subtract Polynomials Vertically?

Subtract polynomials? Huh? First off find the additive inverse of the number you are subtracting. Next rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders. Now add the terms...

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#### Arithmetic Identity Property of Addition 2

For this identity property worksheet, students solve 16 problems in which zero is added to a number. There are no rules or examples provided.

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#### How Do You Solve and Graph a Two-Step Inequality?

Approach inequalities in a new way with this video! This video gives step-by-step instruction on how to solve a 2-step inequality and then graph the answer. Learners could use this video as a reference as they do homework, or you might...

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#### What is the Opposite, or Additive Inverse, of a Number?

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#### How Do You Solve an Inequality Using Addition?

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#### Student Workbook: Number Sense

What a great resource. More than just a learning exercise, this packet also includes examples and notes at the beginning of each section. The material covers all of the main standards in pre-algebra and can also be used for parts of...

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#### Associative Law of Addition

The associative law of addition was confusing for my students, but it is totally necessary for understanding order of operations in later mathematics. In this video, Sal uses the associative law of addition to write the expression (77+2)...

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#### Commutative Law of Addition

Sal explains the commutative law of addition. He adds the number 5+8+5 three different ways. Then he shows that when he adds 5+8+5 in any order the answer will be the same. Note: This video is great, but would be nicely accented with...

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#### Addition of Integers: Adding Electrons

Young mathematical scientists interact with protons and electrons in an atom to create a neutrally charged atom. They answer questions based on their findings throughout the interactive resource.