Curated OER
The Irrational Numbers
In this Algebra I/Algebra II instructional activity, students identify rational and irrational numbers. The one page instructional activity contains a combination of ten multiple choice and free response questions. The answers are...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
Curated OER
Rational, Irrational and Square Roots
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
Curated OER
My Test Book: Rational and Irrational Numbers
In this online interactive math skills worksheet, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.
Curated OER
Algebra Worksheet: Number systems
This instructional activity was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers,...
Curated OER
Make a Math Mascot
Create a math mascot by identifying irrational and rational numbers. Learners will also solve linear equations.
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
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...
Curated OER
Rational or Irrational
In this rational and irrational numbers worksheet, 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 expression...
Curated OER
Quadratics with Irrational Solutions
For this algebra worksheet, students apply the concepts of a right triangle to help them solve for the missing sides of a triangle. They use the quadratic formula to solve word problems. There are 5 problems with an answer key.
Illustrative Mathematics
Operations with Rational and Irrational Numbers
Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Curated OER
The Rational Number System
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
Curated OER
Numbers Beyond Reason!
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
Curated OER
The Real Number System
Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.
Charleston School District
Estimating Values of Expressions
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...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Charleston School District
Evaluation of Roots
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...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target B
There are only two options to consider: rational or irrational. Pupils review rational and irrational numbers by answering a set of eight questions provided in a PowerPoint presentation. Part of larger Claim 1 Item Slide Show series, the...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 6)
Additive inverse, expression, and irrational numbers are a few terms you'll find when you use a set of 22 flashcards designed to reinforce math vocabulary. The set includes two types of cards; a bold-faced word card, and a corresponding...
Curated OER
Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
Curated OER
Irrational Numbers
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....
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
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