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Day 8 GCF Day 2.notebook                                January 04, 2013




    AIM: Factoring Expressions



                                Do Now

       1.) Find the constant of proportionality:

              x            5     6     7           8
              y            15    18    21          24




      2.) The temperature on January 2nd, in Syracuse NY
      ranged from -120F for the low and 340F for the high,
      what was the difference between the two temperatures?




                                                                           1
Day 8 GCF Day 2.notebook                     January 04, 2013




                           On Core Page 61




                                                                2
Day 8 GCF Day 2.notebook                                 January 04, 2013




                      Correcting the Mistake

      1.) A Student factors the following: 4x + 12 and
      gets 4(x + 8).

      Students Explanation: I found the GCF to be 4
      and then I subtracted the GCF from each term
      to determine the factor left inside the
      parentheses.

      Find, correct, and explain the mistake the
      student made?




                                                                            3
Day 8 GCF Day 2.notebook                  January 04, 2013




      1  Factor the following: 16x + 12


               A 4(4x + 3)
                  

               B 4(12x + 8)
                  

                3(6x + 4)
              C  

               D 2(14x + 10)
                  




                                                             4
Day 8 GCF Day 2.notebook                  January 04, 2013




      2   Factor the following: 5y - 30


             A  5(y - 25)


             B 30(y - 1)
                

             C 5(y - 6)
                

             D 3(5y - 10)
                




                                                             5
Day 8 GCF Day 2.notebook                    January 04, 2013




      3   Factor the following: -18k - 33

              A -6(3k + 27)
                  

             B -3(6k + 11)
                 

              C 3(6k + 11)
                 

              D -3(6k - 11)
                  




                                                               6
Day 8 GCF Day 2.notebook                    January 04, 2013




      4   Factor the following: -12m + 36

               A 4(3m + 9)
                  

               B 2(-6m - 18)
                  

               C 12(m - 3)
                  

               D 12(-m + 3)
                  




                                                               7
Day 8 GCF Day 2.notebook   January 04, 2013




      5  



           A  

           B  

           C  

           D  




                                              8
Day 8 GCF Day 2.notebook                          January 04, 2013




      6 Which expression below is equivalent to
         

          A  


         B  


         C  

          D  




                                                                     9
Day 8 GCF Day 2.notebook                          January 04, 2013




      7 Which expression below is equivalent to
         

           A  


           B  


           C  


           D  




                                                                     10
Day 8 GCF Day 2.notebook                          January 04, 2013




      8  
        Which expression below is equivalent to

           A  


           B  


           C  


           D  




                                                                     11
Day 8 GCF Day 2.notebook                          January 04, 2013




      9 Which expression below is equivalent to
          

           A  


           B  


           C  


           D  




                                                                     12
Day 8 GCF Day 2.notebook                                                                 January 04, 2013




                   BEFORE YOU LEAVE
                           Graphing Connection

      The goal of factoring is to find the roots of an
      expression. We can graph on the graphing calculator to
      show the roots.


                              3x - 6
                                                                y
                                                          10
                                                           9
                                                           8
                                                           7
                                                           6
                                                           5
                                                           4
                                                           3
                                                           2
                                                           1                         x

                                ­10   ­8   ­6   ­4   ­2     0       2   4   6   8   10
                                                           ­2
                                                           ­3
                                                           ­4
                                                           ­5
                                                           ­6
                                                           ­7
                                                           ­8
                                                           ­9
                                                          ­10




                                                                                                            13
Day 8 GCF Day 2.notebook                      January 04, 2013



                           Homework


                    Cumulative Review Sheet
                    due Tuesday




                                                                 14

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Day 8 gcf day 2

  • 1. Day 8 GCF Day 2.notebook January 04, 2013 AIM: Factoring Expressions Do Now 1.) Find the constant of proportionality: x 5 6 7 8 y 15 18 21 24 2.) The temperature on January 2nd, in Syracuse NY ranged from -120F for the low and 340F for the high, what was the difference between the two temperatures? 1
  • 2. Day 8 GCF Day 2.notebook January 04, 2013 On Core Page 61 2
  • 3. Day 8 GCF Day 2.notebook January 04, 2013 Correcting the Mistake 1.) A Student factors the following: 4x + 12 and gets 4(x + 8). Students Explanation: I found the GCF to be 4 and then I subtracted the GCF from each term to determine the factor left inside the parentheses. Find, correct, and explain the mistake the student made? 3
  • 4. Day 8 GCF Day 2.notebook January 04, 2013 1  Factor the following: 16x + 12 A 4(4x + 3)   B 4(12x + 8)   3(6x + 4) C   D 2(14x + 10)   4
  • 5. Day 8 GCF Day 2.notebook January 04, 2013 2   Factor the following: 5y - 30 A  5(y - 25) B 30(y - 1)   C 5(y - 6)   D 3(5y - 10)   5
  • 6. Day 8 GCF Day 2.notebook January 04, 2013 3   Factor the following: -18k - 33 A -6(3k + 27)   B -3(6k + 11)   C 3(6k + 11)   D -3(6k - 11)   6
  • 7. Day 8 GCF Day 2.notebook January 04, 2013 4   Factor the following: -12m + 36 A 4(3m + 9)   B 2(-6m - 18)   C 12(m - 3)   D 12(-m + 3)   7
  • 8. Day 8 GCF Day 2.notebook January 04, 2013 5   A   B   C   D   8
  • 9. Day 8 GCF Day 2.notebook January 04, 2013 6 Which expression below is equivalent to   A   B   C   D   9
  • 10. Day 8 GCF Day 2.notebook January 04, 2013 7 Which expression below is equivalent to   A   B   C   D   10
  • 11. Day 8 GCF Day 2.notebook January 04, 2013 8   Which expression below is equivalent to A   B   C   D   11
  • 12. Day 8 GCF Day 2.notebook January 04, 2013 9 Which expression below is equivalent to   A   B   C   D   12
  • 13. Day 8 GCF Day 2.notebook January 04, 2013 BEFORE YOU LEAVE Graphing Connection The goal of factoring is to find the roots of an expression. We can graph on the graphing calculator to show the roots. 3x - 6 y 10 9 8 7 6 5 4 3 2 1 x ­10 ­8 ­6 ­4 ­2 0 2 4 6 8 10 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 13
  • 14. Day 8 GCF Day 2.notebook January 04, 2013 Homework Cumulative Review Sheet due Tuesday 14