1. Exponents andPrime Factorization 3 x 3 x 5 x 5 x 5 = 3² x 5³ Mrs. Rotunno 5th Grade 2010-2011

2. Exponents 5³ exponent base An exponent shows how many times a number, called a base, is used as a factor.

3. How to Write an Exponent Factors: 3 x 5 x 5 x 3 x 2 x 5 x 2 Combine like terms from smallest to largest: 2 x 2 x 3 x 3 x 5 x 5 x 5 Write down the base numbers: 235 Add exponents (shown in green): 2² 3² 5³ Add the multiplication signs: 2² X 3² X 5³

4. Match the Expression with the Exponent 8 x 8 5² x 7³ 4 x 4 x 4 8² 7 x 5 x 5 x 7 x 7 10⁴ 10 x 10 x 10 x 10 4³

5. Match the Expression with the Exponent 6 x 6 x 5 x 9 x 9 x 9 x 6 5³x6³x9 5 x 6 x 5 x 9 x 9 5²x6x9² 9 x 6 x 6 x 5 x 6 x 5 x 5 5²x6³x9² 6 x 9 x 9 x 6 x 5 x 5 x 6 5x6³x9³

6. Play this Game http://www.studystack.com/matching-14392 8² 7³ 7 x 7 x 7 8 x 8

7. Do you know your exponents? Take this quiz and record your score in your math journal. http://www.studystack.com/quiz-14392

8. Prime Factorization is . . . A number written as a product of prime factors. 2 X 2 X 2 X 3 3 X 7 2 X 3 X 3 X 3 3 X 5 X 5 2 X 3 X 5

9. Prime Factorization can be solved using a Factor Tree A factor tree is a model that shows prime factorization.

10. Example of a factor tree: No matter what factors you use, you will finish with the same answer. Example 1 Example 2 20 20 4 5 2 10 2 2 2 5 2 X 2 X 5 = 2² X 5 2 X 2 X 5 = 2² X 5

11. Use mental math to complete the Factor Tree 36 9 4 3 2 2 3 Then click to see if you were right.

12. Play These Games http://www.mathplayground.com/factortrees.html http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html

13. Watch this video Factor Trees http://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related

14. Assessment Click on the following link to complete an assessment on Survey Monkey. http://www.surveymonkey.com/s.aspx?PREVIEW_MODE=DO_NOT_USE_THIS_LINK_FOR_COLLECTION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d We will go over the results together in class.

15. Definitions Prime number – A number that has only two factors, 1 and itself. Examples: 2, 3, 5, 7, 11 , 13, 17, 19, 23 Composite number - A number that has more than two factors. Examples: 9 = factors are 1, 3, 9 24 = factors are 1, 2, 3, 4, 6, 8, 12, 24 Exponent – Shows how many times a number, called the base, is used as a factor. (Numbers in green are exponents.) Examples: 3² or 4³ Base – A number used as a factor. (Numbers in red are base numbers.) Examples: 5³ or 6²

16. GLCE’s N.MR.05.07 Find the prime factorization of numbers from 2 through 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every whole number greater than 1 is either prime or can be expressed as a product of primes.*

17. References Andrews, A.G., Bennett, J. M., Burton, G. M., Johnson, H.C., Luckie, L., Maletsky, E. M., … Schultz, K. A., (2002). Harcourt Math. Orlando: Harcourt School Publishers. http://www.cksinfo.com/electronics/televisions/index.html http://michigan.gov/documents/5th_Math-Intro_Ltrweb_149037_7.pdf http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=category_g_3_t_1.html http://www.studystack.com/matching-14392 http://www.studystack.com/quiz-14392 http://www.surveymonkey.com/s.aspx?PREVIEW_MODE=DO_NOT_USE_THIS_LINK_FOR_COLLECTION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d http://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related