Identifying Rational and Irrational Numbers
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Subject Area: Mathematics (B.E.S.T.) | Grade Level: 8
Lesson Length: 45 minutes
Keywords/Tags: Rational, Irrational
Lesson Description: In this lesson, students will learn the differences between rational and irrational numbers. By the end of the lesson, students will be able to distinguish between rational and irrational numbers and justify their answers. Students will learn how rational and irrational numbers appear in the real world.

  • Other 8.NR.1.1 Distinguish between rational and irrational numbers using decimal expansion. Convert a decimal expansion which repeats eventually into a rational number.
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Video : Rational and Irrational Numbers by Tim & Moby
Instructions: Please watch the following video as many times as needed before starting to go through other lesson pages. Understanding the content of the video is very important since the lesson activities will be all about this video content.Please watch the following video as many times as needed before starting to go through other lesson pages. Understanding the content of the video is very important since the lesson activities will be all about this video content.")
Description: Watch Tim and Moby find the differences between rational and irrational numbers!
Video : Rational & Irrational Numbers in the Real-World
Instructions: Please watch the following video as many times as needed before starting to go through other lesson pages. Understanding the content of the video is very important since the lesson activities will be all about this video content.
Description: Why do we have different types of numbers? What do rational and irrational numbers look like in the real world?
Resources : What next? Rational vs. Irrational Quizizz
Instructions: Use the "Rational and Irrational Numbers" Notes you picked up in class and use the Quizizz to fill them in. Need another copy? Look at the linked resource in this lesson.
Rational and Irrational Guided Notes Quizizz

Rational and Irrational Guided Notes Blank Copy

Description: This Quizizz will walk you through your notes. Make sure these are finished BEFORE you come to class tomorrow:)
Quiz : Rational vs. Irrational Numbers Mini Quiz
Instructions: Please complete this quiz by choosing the correct answer for each question. You can take this quiz as many times as needed. For the written sections, provide at least 2 full sentences and check your spelling before you submit.
Question #1

Is the following number rational or irrational? 

16

Question #2

Is the following number rational or irrational? 

√20

Question #3

Is the following number rational or irrational? 

1.7524398...

Question #4

Is the following number rational or irrational? 

0

Question #5

Is the following number rational or irrational? 

1/3

Question #6

Are perfect squares rational or irrational?

Question #7

Is pi rational or irrational?

Question #8
Any number that be written as a fraction is an irrational number.
Question #9
Describe the definitions of rational and irrational numbers in your own words.
Question #10
What is an example of how negative numbers are used in the real-world? You can use an example from the video. 
Resources : Extra Practice and Resources
Instructions: Please see additional external resources below. Feel free visit each link to learn more about this lesson.
Khan Academy - Intro to rational & irrational numbers

IXL K.1 - Identify Rational and Irrational Square Roots

IXL K.2 - Identify Rational and Irrational Numbers