1 / 17

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…

majed
Download Presentation

MJ2A

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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!

More Related