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

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

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

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

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

6. Play These Games http://www.mathplayground.com/factortrees.html http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html?from=categor y_g_3_t_1.html

7. Exponents Example: 2 X 2 X 6 X 2 X 6 Combine like terms: 2 X 2 X 2 X 6 X 6 Use exponents: 2³ X 6² 5³ base exponent

8. How to Write an Exponent Prime factors: 3 x 5 x 5 x 3 x 2 x 5 x 2 Combine like terms: 2 x 2 x 3 x 3 x 5 x 5 x 5 Write down the base numbers: 235 Add exponents (shown in green): However many times you see the base number, that is your exponent. 2²3²5³ Add the multiplication signs: 2² X3² X5³

9. Play this Game http://www.studystack.com/matching-14392 7 x 7 x 7 8 x 8 7³8²

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

11. 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=Hyhggl7d5 HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d We will go over the results in class together.

12. 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

13. 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.*

14. 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_COLLEC TION&sm=Hyhggl7d5HcJJwK6rcftpN%2b%2fbDp3faTa2fSEgpudJtU%3d http://www.youtube.com/watch?v=qGkK8xkWs6U&feature=related