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Rational approximations of irrational numbers 8.NS.A.2

Rational approximations of irrational numbers 8.NS.A.2 preview
Rational approximations of irrational numbers 8.NS.A.2 preview
Rational approximations of irrational numbers 8.NS.A.2 preview 2
Rational approximations of irrational numbers 8.NS.A.2 preview 3
Rational approximations of irrational numbers 8.NS.A.2 preview 4
Rational approximations of irrational numbers 8.NS.A.2 preview 5
Rational approximations of irrational numbers 8.NS.A.2 preview 6

Look Inside · 9 pages

Lesson cover titled “Rational approximations of irrational numbers” with standard CCSS.Math.Content.8.NS.A.2
Cover of the nine-slide math lesson
Lesson introduction defines irrational numbers as nonrepeating, infinite decimals and explains estimation.
Introduction to irrational numbers and estimation
Trial-and-error lesson estimates √3 using perfect squares and tests 1.5², 1.7², and 1.8² to narrow its value.
First step in the worked square root example
Worked example uses 1.75² = 3.0625 to round √3 to 1.7 and marks its approximate position on a number line.
Rounding and locating the square root estimate
Lesson extension introduces calculating square roots by hand and links to an optional wikiHow explanation.
Optional background on square roots by hand
Pi lesson gives π ≈ 3.14159265 and discusses a 2019 digit record, NASA's precision, and memorizing digits.
Pi approximations and practical precision
Pi-squared example compares a calculator value with the squares of five decimal approximations of pi.
Comparing five approximations when squaring pi
Follow-up to the pi-squared example discusses decimal accuracy and rounding error shared by both factors.
Rounding error explanation after the pi example
Lesson references list Google’s article on calculated digits of pi and NASA JPL’s article on needed decimals.
Sources for the lesson's pi facts
Attributes
Subject

Math, Algebra

Grades

Grade 8

Types

Teacher Tools, Lesson Plans

File

Microsoft PowerPoint

Editable
Yes
Author
TheBrightestKid
Rating
Add To Collection
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About This Product

This PowerPoint explains how to approximate irrational numbers and place irrational numbers on the number line. 8.NS.A.2.

What's Included

1 PPT 9 slides

Resource Tags

Irrational numbers Approximation Number pi estimating by trial and error approximating irrational numbers

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