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Lesson Plan
Alabama Learning Exchange

Alex: Rational or Irrational? That Is the Question

For Teachers 6th - 8th Standards
Students 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 and...
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Irrational Numbers

For Students 9th - 10th Standards
Find a quick, concise explanation of only irrational numbers. A diagram is given and clearly explained that shows how irrational numbers relate to other number groups.
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eBook
Math Planet

Math Planet: Integers and Rational Numbers

For Students 6th - 8th Standards
Gain an understanding of integers and rational numbers by viewing an example and a video lesson.
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eBook
Math Planet

Math Planet: Algebra 1: Integers and Rational Numbers

For Students 9th - 10th Standards
Provides an example and a video lesson that illustrates integers and rational numbers.
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Unit Plan
Khan Academy

Khan Academy: Comparing Irrational Numbers With a Calculator

For Students 7th - 8th Standards
Practice using a calculator to find the approximate decimal values of irrational numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unit Plan
Khan Academy

Khan Academy: Comparing Irrational Numbers

For Students 7th - 8th Standards
Practice comparing irrational numbers without using a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unit Plan
Khan Academy

Khan Academy: Converting Repeating Decimals to Fractions 1

For Students 7th - 8th Standards
Practice converting 1- and 2-digit repeating decimals into fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unit Plan
Khan Academy

Khan Academy: Converting Multi Digit Repeating Decimals to Fractions

For Students 7th - 8th Standards
Practice converting multi-digit repeating decimals to fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unit Plan
Khan Academy

Khan Academy: Adding & Subtracting Rational Numbers

For Students 6th - 8th Standards
Practice adding and subtracting negative fractions, decimals, and percents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Classify Numbers

For Students 8th Standards
Practice classifying numbers as whole, integer, rational, and irrational. Students receive immediate feedback and have the opportunity to try questions repeatedly, to watch a video, or ask for a hint.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Rational or Irrational?

For Teachers 9th - 10th Standards
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Converting Decimal Rational Numbers to Fractions

For Teachers 8th Standards
Eighth graders are presented with three repeating decimal numbers and must convert them to fraction format. Aligns with 8.NS.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Converting Repeating Decimals to Fractions

For Teachers 8th Standards
The purpose of this task is to study some concrete examples of repeating decimals and find a way to convert them to fractions. Aligns with 8.NS.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Identifying Rational Numbers

For Teachers 8th Standards
For this task, 8th graders are presented with a mixed set of eight different numbers and must identify them as rational or irrational and explain how they know. Aligns with 8.NS.A.1.
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Handout
Math Open Reference

Math Open Reference: Reciprocal

For Students 5th - 8th Standards
Learn about reciprocals with this site which offers detailed explanations and multiple examples. Topics covered include how to find a reciprocal of a fraction, number, or decimal.
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Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Multiplication of Rational Numbers

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to multiply rational numbers. Includes examples, videos, and practice questions.
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Activity
Integrated Publishing

Integrated Publishing: Rational and Irrational Numbers

For Students 9th - 10th Standards
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
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Lesson Plan
Alabama Learning Exchange

Alex: Those Number Aren't Just Moody.

For Teachers 6th - 8th Standards
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect middle schoolers...
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Handout
CK-12 Foundation

Ck 12: Algebra: Basics of Real Numbers Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand the basics of real numbers. Examples are included.
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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...
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Handout
Cuemath

Cuemath: Rational Numbers

For Students 9th - 10th Standards
This lesson defines rational numbers and teaches you how to identify them. A handy chart is provided that shows the difference between irrational and rational numbers.
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Handout
Quia

Ixl Learning: Irrational Numbers

For Students 9th - 10th Standards
Brush up on your math skills relating to irrational numbers then try some practice problems to test your understanding.
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Interactive
PBS

Pbs Learning Media: Logical Leaps: Rational Numbers on the Number Line

For Students 6th - 8th Standards
In this interactive, use logic to solve riddles involving a wallaby jumping contest. Then, place each contestant's jump -- a fraction, mixed number, or decimal between -5 and +5 -- at the correct point on the number line. Backward jumps...
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Handout
Wikimedia

Wikipedia: Irrational Number

For Students 9th - 10th Standards
At this site from Wikipedia you can learn the definition of an irrational number, then look at examples and explanations of why some numbers are irrational and others are not.