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MJ2A

MJ2A. Ch 4.4 – Greatest Common Factor. Bellwork. Factor each monomial 77x -23n 3 30cd 2. Assignment Review. Text p. 162 # 25 – 40. Before we begin…. Please take out your notebook and get ready to work…

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MJ2A

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  1. MJ2A Ch 4.4 – Greatest Common Factor

  2. Bellwork • Factor each monomial • 77x • -23n3 • 30cd2

  3. Assignment Review • Text p. 162 # 25 – 40

  4. Before we begin… • Please take out your notebook and get ready to work… • Yesterday we looked at factoring numbers…we will use what we learned to determine the Greatest Common Factor (GCF) of 2 or more numbers… • This is real easy…so pay attention!

  5. Objective – Ch 4.4 • Students will find the greatest common factor of two or more numbers or monomials

  6. Greatest Common Factor • The greatest common factor of two or more numbers is as the name suggest the largest number that both numbers have in common.. • Example: To find the GCF of 12 & 20, you can list the factors: Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 20: 1, 2, 4, 5, 10, 20 As you can clearly see…both numbers have common factors of 1, 2 and 4. Of the common factors 4 is the largest. Therefore, the GCF of 12 & 20 is 4

  7. Greatest Common Factor • Like factoring numbers and monomial there are a number of ways to determine the greatest common factor of two or more numbers… • You can • List the factors • Do a factor tree for each number of monomial • Use the cake method for each… • For today’s lesson I will focus on the cake method because it is extremely easy to do… • Let’s look at an example…

  8. Example Find the GCF of 30 & 24: 2 30 , 24 3 15 , 6 5 , 2 GCF = 2 x 3 = 6

  9. Example Find the GCF of 54, 36, & 45 3 54, 36, 45 3 18, 12, 15 6, 4, 5 GCF = 3 x 3 = 9

  10. Your Turn • In the notes section of your notebook write the numbers and then find the GCF using the cake method • 28, 35 • 12, 48, 72

  11. Factoring Monomials • You can use the same method to factor monomials… • Let’s look at an example…

  12. Example Find the GCF of 30a3b2, 24a2b 3ab 30a3b2, 24a2b 2a 10a2b 8a 5ab 4 Prime Factorization = 3ab ∙ 2a = 6a2b

  13. Your Turn • In the notes section of your notebook write and do the prime factorization of the following monomials: • 12x, 40x2 • 4st, 10s

  14. Factoring Expressions • You can use the distributive property to factor expressions Example Factor 2x + 6 • First find the GCF of 2x and 6 2x = 2 ∙ x 6 = 2 ∙ 3 • Then write each term as a product of the GCF and its remaining factors 2x + 6 = 2(x) + 2(3) = 2(x + 3)

  15. Your Turn • In the notes section of your notebook write the expression and then factor using the distributive property • 3n + 9 • t2 + 4t • 15 + 20x

  16. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson • Today we discussed: • Factoring using the cake method • Factoring monomials • Factoring expressions

  17. Assignment • Text p. 167 # 25 – 30 & 44 – 52 Reminder • I do not accept late assignments • You must show your work…(no work = no credit) • Check your answers to the odd problems in the back of the book… • If you did not get the same answer…you need to problem solve to find out what you did wrong!

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