2. KEY STANDARDS M8N1. Students will understand different representations of numbers including square roots, exponents, and scientific notation. 24 August 2011

3. Warm up Number (n) Number Squared (n 2 ) 88 x 8 = 1515 x 15 = 2323 x 23 = 1717x 17 = 2929 x 29 = 3030 x 30 =

4. Vocabulary Set 1 Square – The product of a number and itself. Example: The square of 3 is 9 (3 x 3 = 9). Or 3 2 = 9 Square Root – One of two equal factors of a number. Example: The square root of 9 is 3. Or √9 = 3 Radical – The symbol used to represent a nonnegative square root is √. Perfect Square - A number whose square root is a whole number. Example: 9 is a perfect square because 3 x 3 = 9

5. Base – The number that is multiplied by itself. Example: In the expression 8 3, 8 is the base. Exponent – The number of times the base is used as a factor. Example: In the expression 8 3, 3 is the exponent. This means that you multiply 8 x 8 x 8 which is equal to 512.

6. 2 5 The 2 is the base number. The 5 is the exponent. This means that you would multiply 2 x 2x 2 x 2 x 2 = ? http://www.youtube.com/watch?v=79ODX NDujsE

7. http://www.youtube.com/watch?v =z1T0_9NLufA http://www.youtube.com/watch?v =z1T0_9NLufA Let’s practice our exponents!!! Write in exponent form 3 x 3 = __________ 4 x 4 x 4 x 4 x 4 = __________ 2 x 2 x 2 x 2 = __________ 7 x 7 x 7 x 7 x 7x 7 = __________ 11 x 11 x 11 = __________ 18 = __________ 2 x 2 x 2 x 2 x 2 x 2 x 2 = __________ 5 x 5 = __________ 10 x 10 x 10 x 10 = __________

8. Solve 3⁰ 7⁴ 3⁵ 12⁴ 2⁸

9. Links to the rules of Exponents http://www.youtube.com/watch?v=VQsQj1Q_CMQ