Using Squared & Cubed Roots to Approximate Irrational Numbers

Using Squared & Cubed Roots to Approximate Irrational Numbers
Using Squared & Cubed Roots to Approximate Irrational Numbers
Using Squared & Cubed Roots to Approximate Irrational Numbers
Using Squared & Cubed Roots to Approximate Irrational Numbers
Using Squared & Cubed Roots to Approximate Irrational Numbers
Using Squared & Cubed Roots to Approximate Irrational Numbers
File Type

PDF

(8 MB|4 pages)
Standards
Also included in:
  1. 8th Grade Common Core Resources:Resources using Google Apps:Number System♦ Rational & Irrational Numbers: Interactive Slides♦ Understanding Pi Digital BreakoutExpressions & Equations♦ Exponents Rules: Interactive Slides, Quiz♦ Scientific Notation: Computation Interactive Slides, New Year Dig
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  • Product Description
  • StandardsNEW
Helpful resource for students to calculate and learn their perfect squares and perfect cubes.

Introduction to irrational numbers using sketches of squares to approximate irrational numbers.

This is a resource my students pull out often as we move towards other standards. I have heard them many times say, "Oh, I need the sheet with the little dots on it." The visual helped students understand how to approximate an irrational number.

I allowed my students to struggle with the sketches before offering assistance. It was in that struggle that they grasped the understanding.

Check out other Expressions & Equations resources in my store:
Systems of Linear Equations Assessment
Comparing Unit Rates Assessment
Compare Unit Rates Levels of Mastery

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Licensing Terms :
By purchasing this product, you own a license for one teacher only for personal use in their own classroom. Licenses are non-transferable, unless you have purchased a transferable license, and therefore can not be passed from one teacher to another. If the teacher who purchased this license leaves the classroom or changes schools, the license and materials leave with that teacher. No part of this resource is to be shared with colleagues or used by an entire team, grade level, school or district without purchasing the correct number of licenses.

Copyright Information :
© Moving Towards Mastery
Please note - all material included in this resource belongs to Moving Towards Mastery. By purchasing, you have a license to use the material but you do not own the material. You may not upload any portion of this resource to the internet in any format, including school/personal websites or network drives unless the site is password protected and can only be accessed by students, not other teachers or anyone else on the internet.
Log in to see state-specific standards (only available in the US).
Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
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.
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Total Pages
4 pages
Answer Key
Included
Teaching Duration
45 minutes
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