Irrational Numbers Crossword and Proof Irrationals Exist 8.NS.A.1 or 8.NS.A.2

Grade Levels
7th - 9th, Homeschool
Resource Type
Formats Included
  • PDF
6 pages

Also included in

  1. This bundle is about the number systems section from 8th grade common core standards. (8.NS.A.1 and 8.NS.A.2) There are two Google slideshows and one practice sheet. All are made with Latex so they are not editable. Worksheet is printable pdf and has the answers.Slideshows to courses A.1 and A.2 are
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  2. This bundle hasTwo editable PowerPoints: Rational and irrational numbers & Rational approximation of irrational numbersWorksheet that covers both these subjects, varying in task types and including answers.Crossword, which can be used after studying the subject so that students can see if they m
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This resource is for 8th grade students who are studying about irrational numbers, or it can be used with grades 7-9 as an extra material for math oriented / talented students.

Crossword asks about concepts that are related to rational and irrational numbers and number sets in general. That can be easily used as part of courses 8.NS.A.1 or 8.NS.A.2 with all students.

There is also something about history of irrational numbers and a proof that square root of 2 is irrational. The proof goes beyond standard curriculum for 8th graders, but can be introduced as extra information.

Total Pages
6 pages
Answer Key
Teaching Duration
1 hour
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to see state-specific standards (only available in the US).
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.


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