Squares and Square Roots. Context: To use the side length to find the area, square it. To use the area to find the side length, find the square root.

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Presentation transcript:

Squares and Square Roots

Context: To use the side length to find the area, square it. To use the area to find the side length, find the square root. * These are opposite procedures. Area = 64 cm 2 8 cm

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Memorize these Perfect Squares: IntegerSquare

Ex) Between what 2 integers does 40 lie?

lie?Solution:

lie? Solution: We know 36 = 6

Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7 and 49 = 7

Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 and 49 = 7 and 49 = 7 So... So...

Ex) Between what 2 integers does 40 lie? Solution: We know 36 = and 49 = 7 and 49 = 7 So... So...

Ex) Between what 2 integers does 40 lie? Solution: We know 36 = 6 40 lies between 6 & 7 40 lies between 6 & 7 and 49 = 7 and 49 = 7 So... So...

Ex) Find the square: (-4) 2

Solution: (-4) 2 = (-4) x (-4)

Ex) Find the square: (-4) 2 Solution: (-4) 2 = (-4) x (-4) = (+16)

Ex) Find 2 different square roots of 25.

Solution:

Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25

Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However,

Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well.

Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well. So, 25 has two square roots;

Ex) Find 2 different square roots of 25. Solution: 5 x 5 = 25 However, (-5) x (-5) = 25 as well. So, 25 has two square roots; 5 and (-5).