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Curated OER
Integrated Algebra Practice: Square Roots
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....
Curated OER
Fools for Love in King Lear
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...
Curated OER
Snowboarding! Join the U.S. Team: Olympics, Math, Weather
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.
Curated OER
Around We Go
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...
Curated OER
A Fraction of the Possibilities
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.
EngageNY
Applications of the Pythagorean Theorem
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...
Curated OER
Challenging Inequalities Group Work
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...
Curated OER
Where's the Math?
Fourth graders create an original math problem with a detailed solution key relative to their chosen career fields.
Curated OER
Complexity
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.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Rational and Irrational Numbers
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...
Illustrative Mathematics
Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers
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...
CPALMS
Cpalms: Product of Non Zero Rational and Irrational Numbers
[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....
Illustrative Mathematics
Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers
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.
Khan Academy
Khan Academy: Rational vs. Irrational Expressions
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...
Alabama Learning Exchange
Alex: Rational or Irrational? That Is the Question
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...
Doina Popovici
Math Play: Rational and Irrational Numbers Game
An interactive game where students have to determine whether a number is a rational or a irrational number.
Cut the Knot
What's a Rational Number?
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.
Cuemath
Cuemath: Irrational Numbers
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...
Common Core Sheets
Common Core Sheets: The Number System 8.ns.1 Worksheets
Print or create worksheets to assess students' understanding of rational and irrational numbers.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational and Irrational Number
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
University of Saskatchewan (Canada)
University of Saskatchewan: Decimal Expansions
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...
Oswego City School District
Regents Exam Prep Center: Irrational Approximations
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...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Definitions of Rational, Irrational
Math Forum definition and explanation of rational and irrational numbers, the definitions of mathematics is also addressed.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: About Rational Numbers
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.