Properties and Identities Teacher Resources

Applying the multiplication property of inequality is just like working with linear equations. What is done on one side of the equation needs to be done on the other side of the equation. So this rule can be applied to inequalities. In...

This video shows a quick definition and some examples of how to apply the division property of inequality. It's just like working with linear equations in that what you do on one side of the equation needs to be done on the other side of...

Connect the commutative property to commuting. The quick video shows how to use the commutative property to write sums and products in a different way. It provides examples to show that the property only works for addition and...

Watch this tutorial for a quick explanation of the multiplication property of equality. Important for solving equations, this property is essential for pupils to master. Class members might watch this in class or at home for extra...

What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and...

Get back to the basics to become an expert. The short video shows the basics of dividing algebraic expressions. Using several examples, the presenter reminds viewers of the rules of exponents when dividing. Pupils practice dividing...

A series of problems involving exponent properties is the focus of this video. Sal demonstrates rational expressions, simplifying fractions, and how to manipulate algebraic equations using exponents and division.

Do your classes truly understand the distributive property? Use a demonstrative lesson plan to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...

Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...

In this distributive property worksheet, students solve and complete 22 different equations that include applying the distributive property to each one. First, they simplify each expression listed by applying the distributive property....

The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...

Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...

Part of building solid number sense is understanding the laws and properties of multiplication and addition. Elementary school students can watch Sal multiply using the number 1. He explains that 1x any number equals that number. He...

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...

The distributive property and FOIL are the same when it comes to binomial multiplication. The video demonstrates binomial multiplication using the distributive property. The presenter shows the general case and provides two...

Here is an equation in which the first step is to use the distributive property to remove the parenthesis. Then, it is solved for the variables. Since variables are on both sides of the equation, it is important to verify the answer by...

This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.

Here is an equation in which the first step is to use the distributive property to remove the parenthesis. Then, it is solved for the variables. Since there are variables on both sides of the equation, it is important to verify the...

Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.

Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.

Who needs parentheses, anyway? Understanding how to apply the distributive property—and how to get rid of parentheses—helps scholars conceptually understand why it is necessary. Guided practice problems help build confidence to create...

A simple concept made even simpler. A short YouTube video explains how to simplify algebraic expressions. It covers simplifying linear expressions by applying the distributive property and combining like terms. It also shows how to...