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Section 8.5 – Square Roots & Section 8.7 – Pythagorean Theorem.

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Presentation on theme: "Section 8.5 – Square Roots & Section 8.7 – Pythagorean Theorem."— Presentation transcript:

1 Section 8.5 – Square Roots & Section 8.7 – Pythagorean Theorem

2 Warmup List all the perfect squares up to 16 2. 1 2 = 2 2 = 3 2 = 4 2 = 5 2 = … (you might want to do this nicely on a separate sheet of paper so you can refer to it when you do your classwork/homework… )

3 Definitions: Radical sign – the symbol used to indicate square root Radical expression – an expression containing a square root Prime number – a whole number that has exactly two factors, itself and 1 Composite number – a whole number that has more than two factors

4 Prime factorization – when a number is expressed as a product of prime factors 225 3 75 100

5 The square root of a product is equal to the product of the square roots. The square root of a quotient is equal to the quotient of the square roots.

6 Remember your number…

7 The Pythagorean Theorem Words – In a right triangle, the square of the length of the hypotenuse, c, is equal to the sum of the squares of the lengths of the legs, a and b. Model – Symbols – a 2 + b 2 = c 2 a c b

8 2 Examples 9 in. 12 in. x in. y cm 15 cm 22 cm

9 WS 8.7 Practice….with a PARTNER Pick the one that looks the hardest for me to do with you.

10 Homework: Pg 360 #16 – 30 even Pg 370 # 13 – 29 odd


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