Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Handout
Charleston School District

Identifying Irrational Numbers

For Students 8th - 9th Standards
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 
Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root...
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Handout
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Del Mar College

Exponential and Radical Rules

For Students 8th - 11th Standards
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems. 
Lesson Plan
Willow Tree

Direct and Inverse Variations

For Students 7th - 10th Standards
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Handout
Purple Math

Purplemath: Multiplying Rational Expressions

For Students 9th - 10th Standards
Not only will you learn how to multiply and divide rational expressions, but Purplemath shows you what common mistakes are made so you can avoid them.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries: Rational Expressions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that define rational expressions and investigate how to reduce a rational expression to lowest terms, add, subtract, multiply, and divide rational expressions.
Handout
Oswego City School District

Regents Exam Prep Center: Multiplying Rational (Fractional) Expressions

For Students 9th - 10th Standards
Use this site to learn how to simplify rational expressions when multiplication is required. You can practice what you have learned using the problems provided.