Worksheet
Curated OER

Rational or Irrational

For Students 7th
In this rational and irrational numbers learning exercise, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or...
Worksheet
Curated OER

Math Leagues Contest 1

For Students 8th
In this basic algebra activity, 8th graders solve and complete 6 different types of algebra problems as described in each box. First, they determine the value of a set of numbers with one pair of positive integers. Then, students...
Lesson Plan
Illustrative Mathematics

Graphs of Compositions

For Teachers 8th - 12th Standards
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Unit Plan
Curated OER

Multiplication & Division

For Teachers 4th - 5th Standards
Helpful for building a multiplication unit that focuses on different strategies. With explanations about repeated addition and subtraction as foundations for multiplication, scaling, summaries of progression, and basic multiplication and...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Worksheet
Curated OER

Simplifying Radicals

For Students 10th - 12th
In this simplifying radicals activity, students factor out the whole number root of each radicand in 20 short answer problems. Four of the answers involve the absolute value of a variable.
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Worksheet
Curated OER

Perfect Squares

For Teachers 6th - 8th
In this math worksheet, students solve the problems that have the form of perfect squares. These are essential to finding the roots.
Lesson Plan
Ohio Department of Education

Writing and Comparing Numbers in Scientific Notation-Grade Eight

For Teachers 7th - 9th Standards
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...
Worksheet
Curated OER

Simplifying Radical Expressions

For Students 9th
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Worksheet
Curated OER

Maximum and Minimum Problems

For Students 11th - Higher Ed
In this maximum and minimum problems worksheet, students solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They also find...
Lesson Plan
Curated OER

Worksheet Chapter 7.1 & 8.1 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...
Worksheet
Curated OER

The Year Game: Writing Number Expressions

For Students 7th - 12th
In this year game worksheet, students write expressions for the counting numbers one through 100 using only digits in the curent year.  They do so using only the digits in the current year and using addition, multiplication,...
Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Worksheet
Curated OER

Properties of Real Numbers

For Students 11th
In this algebra worksheet, 11th graders perform operations with real numbers. They simplify roots and rationalize the denominators by factoring. They calculate the absolute values of the roots. There are 11 questions.
Worksheet
Curated OER

Irrational Numbers

For Students 9th
In this irrational numbers worksheet, 9th graders solve 10 different problems that include determining the approximations of various irrational numbers. First, they solve each irrational number in the first set to the nearest tenth....
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Assessment
Mathematics Assessment Project

The Number System

For Students 7th - 8th Standards
Count this assessment in the "use" pile. Middle schoolers solve a set of five problems in the seventh and eighth grade number system domains. All problems are in pure mathematics with no applications.
Lesson Plan
Curated OER

Topsy-Turvy Math With Rational Numbers

For Teachers 4th
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Lesson Plan
Curated OER

Systems of Equations - Week 6

For Teachers 12th - Higher Ed
In this systems of equations worksheet, students solve systems of equations simultaneously. They read story problems, write systems of equations. This two-page worksheet contains eight problems.
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. 
Lesson Plan
Curated OER

Unit Plan On Quadratic Equations

For Teachers 9th - 12th
High schoolers explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
Worksheet
Curated OER

Completing the Square

For Students 9th - 10th
In this polynomial learning exercise, students complete the square of a given problem. Explanations and examples are provided. This two-page learning exercise contains ten problems.
Lesson Plan
Curated OER

Measurement: Lesson 2

For Teachers 8th
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...