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...
Lesson Plan
Virginia Department of Education

Rational Equations

For Students 9th - 12th Standards
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
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. 
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
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...
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...
Handout
Charleston School District

Applications of the Pythagorean Theorem

For Students 8th Standards
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths. 
Handout
2
2
Math Mammoth

Add & Subtract Integers Fact Sheet

For Students 5th - 8th Standards
Guide young mathematicians through the crazy world of negative numbers with a handy reference document. Offering clear instructions for adding and subtracting positive and negative integers, this resource is a great way to...
Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...
Handout
1
1
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. 
Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Handout
Charleston School District

Converting Fractions and Decimals

For Students 8th Standards
A decimal is just a fraction in disguise! Scholars learn methods for converting decimals and fractions including repeating decimals. Performing the conversions strengthens their understanding of the relationship between the two forms....
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
3
3
El Paso Community College

Quadratic Equations

For Students 9th - 12th Standards
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...
Handout
Curated OER

The Number System

For Students 11th - 12th
Review complex numbers, real numbers, irrational and rational numbers, integers, and whole numbers with math students. Use this guide as a reference sheet or handout. 
Lesson Plan
2
2
West Contra Costa Unified School District

Fractional Exponents

For Teachers 9th - 12th Standards
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a...
Handout
Granite School District

7th Grade CCSS Math Vocabulary Word List

For Teachers 7th
Address key vocabulary in the seventh grade Common Core Math Standards with this comprehensive list. A series of word cards is also provided that supports each term with images and examples, making this an excellent tool for teaching the...
Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
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...

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