Worksheet
Curated OER

Integrated Algebra Practice: Square Roots

For Students 8th - 10th
In this square roots worksheet, learners calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
Lesson Plan
Curated OER

Fools for Love in King Lear

For Teachers 9th - 12th
Students discuss the expression "fools for love."  In this literature analysis lesson plan, students use King Lear as a basis for examining parent-child relationships.  In small groups, they discuss the motives behind various...
Lesson Plan
Curated OER

Snowboarding! Join the U.S. Team: Olympics, Math, Weather

For Teachers 9th - 12th
Students make weather predictions and observations, research the cost of snowboarding equipment, and use their math skills to plot the course of a Giant Slalom Snowboarding event.
Lesson Plan
Curated OER

Around We Go

For Teachers 4th
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
Lesson Plan
Curated OER

A Fraction of the Possibilities

For Teachers 12th - Higher Ed
Students review the conversion of fractions to decimals, develop strategies to compare fractions perform complex calculations using ratio techniques similar to the construction of fractions.
Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
Worksheet
Curated OER

Challenging Inequalities Group Work

For Students 10th - Higher Ed
In this inequalities worksheet, students collaborate in groups to solve eight multi-part challenging inequality problems. These problems are not designed to be finishes, but rather as a platform for group discussion regarding how to...
Lesson Plan
Curated OER

Where's the Math?

For Teachers 4th
Fourth graders create an original math problem with a detailed solution key relative to their chosen career fields.
Lesson Plan
Curated OER

Complexity

For Teachers 10th - 12th Standards
Students perform mathematical operations on complex numbers. After a lecture/demo, students utilize a worksheet imbedded in this plan to gain practice performing operations on complex numbers.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Rational and Irrational Numbers

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains rational and irrational numbers as subsets of the real number system. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers

For Teachers 9th - 10th Standards
The goal of this task is to examine sums and products of rational and irrational numbers. One important property of rational numbers is that their decimals always terminate or repeat: using a slightly different formulation, a rational...
Unknown Type
CPALMS

Cpalms: Product of Non Zero Rational and Irrational Numbers

For Teachers 9th - 10th Standards
[Free Registration/Login Required] In this formative assessment task, students are asked to explain how rational and irrational numbers differ and why the product of a non-zero rational number and an irrational number is irrational....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers

For Teachers 8th Standards
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
Unknown Type
Khan Academy

Khan Academy: Rational vs. Irrational Expressions

For Students 9th - 10th Standards
Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Lesson Plan
Alabama Learning Exchange

Alex: Rational or Irrational? That Is the Question

For Teachers 6th - 8th Standards
Young scholars will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational...
Interactive
Doina Popovici

Math Play: Rational and Irrational Numbers Game

For Students 7th - 9th Standards
An interactive game where students have to determine whether a number is a rational or a irrational number.
Activity
Cut the Knot

What's a Rational Number?

For Students 9th - 10th Standards
This question is answered by discussing and comparing rational and irrational numbers. For more advanced levels of Algebra, there are sections that discuss different lemmas of rational numbers and give their proofs.
Handout
Cuemath

Cuemath: Irrational Numbers

For Students 9th - 10th Standards
Learn how to identify irrational numbers. This lesson reviews the irrational number list, the difference between irrational and rational numbers, and whether or not irrational numbers are real numbers. Examples are provided along with a...
Unknown Type
Common Core Sheets

Common Core Sheets: The Number System 8.ns.1 Worksheets

For Teachers 8th Standards
Print or create worksheets to assess students' understanding of rational and irrational numbers.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rational and Irrational Number

For Students 9th - 10th Standards
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Decimal Expansions

For Students 9th - 10th
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on decimal expansions. It begins with a focus on decimal representation of real numbers, followed by how this...
Lesson Plan
Oswego City School District

Regents Exam Prep Center: Irrational Approximations

For Teachers 6th - 8th Standards
Providing one lesson, one practice exercise, and two teacher resources, the information at this website is geared toward students who already understand rational and irrational numbers. The lesson has explanations of what happens when a...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Definitions of Rational, Irrational

For Students 9th - 10th Standards
Math Forum definition and explanation of rational and irrational numbers, the definitions of mathematics is also addressed.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: About Rational Numbers

For Students 9th - 10th Standards
Math Forum response giving a rather thorough overview of rational and irrational numbers, with a brief look at the history of these and other number sets.