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Measuring Lines... the hard way Grade 8 Mathematics Mr. J. Lingley

Measuring Line Segments with Square Roots (Lesson 3)

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Students will use the geometric analogy such that if the area of a perfect square is represented by a square number, then the side length can be determined by taking the square root of the area. Example, the side length of a square that has an area of 400 would be 20.

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Page 1: Measuring Line Segments with Square Roots (Lesson 3)

Measuring Lines... the hard way

Grade 8 MathematicsMr. J. Lingley

Page 2: Measuring Line Segments with Square Roots (Lesson 3)

BrainteaserO T T

F F S

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Fill in the missing letters in the logical sequence.

Page 3: Measuring Line Segments with Square Roots (Lesson 3)

49 7

Page 4: Measuring Line Segments with Square Roots (Lesson 3)

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Page 5: Measuring Line Segments with Square Roots (Lesson 3)

49 units2

Page 6: Measuring Line Segments with Square Roots (Lesson 3)

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Page 7: Measuring Line Segments with Square Roots (Lesson 3)

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49 u2 7

Page 8: Measuring Line Segments with Square Roots (Lesson 3)

Area to Side Length• To find the side length of any square, you

find the square root of the area.

• If you know the side length, you can find the area, by simply squaring the side length. What are the side lengths of these squares?

Page 9: Measuring Line Segments with Square Roots (Lesson 3)

16 36

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25 36

?

Page 11: Measuring Line Segments with Square Roots (Lesson 3)

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~5.5

Page 12: Measuring Line Segments with Square Roots (Lesson 3)

What if the square was like this...

Find the side length of this square.

Page 13: Measuring Line Segments with Square Roots (Lesson 3)

What if the square was like this...

Instructions: 1. Find the area of the square.

2. Take the square to find the side length.

Page 14: Measuring Line Segments with Square Roots (Lesson 3)