Approximating Square Roots of Nonperfect Squares

  Classroom Resource Information  

Title:

 Approximating Square Roots of Nonperfect Squares

URL:

 https://aptv.pbslearningmedia.org/resource/mgbh.math.ns.approxsqroot/approximating-square-roots-of-nonperfect-squares/

Content Source:

 PBS
Type: Audio/Video

Overview:

Visualize a strategy for approximating the square roots of nonperfect squares through modeling. This video focuses on a ratio, the number of extra tiles over the number of tiles for the next square that will give you a fractional approximation of the square root of a number. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School collection.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
10. Define the real number system as composed of rational and irrational numbers.

a. Explain that every number has a decimal expansion; for rational numbers, the decimal expansion repeats in a pattern or terminates.

b. Convert a decimal expansion that repeats in a pattern into a rational number. [Grade 8, 1]
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
15. Use square root and cube root symbols to represent solutions to equations.

a. Evaluate square roots of perfect squares (less than or equal to 225) and cube roots of perfect cubes (less than or equal to 1000).

b. Explain that the square root of a non-perfect square is irrational. [Grade 8, 4]
Mathematics
MA2019 (2019)
Grade: 8
1. Define the real number system as composed of rational and irrational numbers.

a. Explain that every number has a decimal expansion; for rational numbers, the decimal expansion repeats or terminates.

b. Convert a decimal expansion that repeats into a rational number.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.1 Add and subtract fractions with like denominators (e.g. halves, thirds, fourths, tenths).
M.AAS.8.1a Add and subtract decimals to the hundredths place.
M.AAS.8.1b Convert a fraction with a denominator of 100 to a decimal.
Mathematics
MA2019 (2019)
Grade: 8
4. Use square root and cube root symbols to represent solutions to equations.

a. Evaluate square roots of perfect squares (less than or equal to 225) and cube roots of perfect cubes (less than or equal to 1000).

b. Explain that the square root of a non-perfect square is irrational.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.4 Calculate the square of numbers 1 through 10.
Tags: approximation, fractional approximation, nonperfect squares, square roots
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

This resource includes teaching tips.

  This resource provided by:  
Author: Kristy Lacks