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Day 7 Factor with GCF.notebook              January 03, 2013




    AIM: Factoring Expressions



                                 Do Now

         Find the Greatest Common Factor.

          a.) 5 and 25

          b.) 8 and 50

          c.) 12 and 30




                                                               1
Day 7 Factor with GCF.notebook                  January 03, 2013




                     On Core Page 62 #1-4 all




                                                                   2
Day 7 Factor with GCF.notebook                                 January 03, 2013




      1.) Find the factors of:
             4x + 8


                          x               x
                                                   x       x




                                                       1
                              1       1        1

                                                           1
                                  1       1        1




           x       ­x             1       ­1




                                                                                  3
Day 7 Factor with GCF.notebook                           January 03, 2013




      2.) Find the factors of:
             3x + 9
                                                     x       1
                                             1


                                                 1           1
                        1                                           1
                                         x
                            1                    1

               x            1




           x       ­x           1   ­1




                                                                            4
Day 7 Factor with GCF.notebook                       January 03, 2013




      3.) Find the factors of:
             3x - 6


                                           x
                            x
                                                x


                                           ­1
                                ­1
                                                ­1
                                          ­1
                           ­1
                                                ­1




           x       ­x           1    ­1




                                                                        5
Day 7 Factor with GCF.notebook               January 03, 2013




      4.) Find the factors of:
             2x + 2
                                         1
                            1       x
                    x




           x       ­x           1   ­1




                                                                6
Day 7 Factor with GCF.notebook                             January 03, 2013




      5.) Find the factors of:
             4x - 4
                 ­1
                                   ­1         x
                           x
                                                      ­1   x




                                                  x
                                         ­1




           x          ­x       1    ­1




                                                                              7
Day 7 Factor with GCF.notebook                                    January 03, 2013




      6.) Find the factors of:
             4x + 10
                                 1        1       1



                                      1
                                              1
                    x        x


                                                          1



                                                      1   1

                                          x
                                 x

                                                      1       1




           x       ­x        1   ­1




                                                                                     8
Day 7 Factor with GCF.notebook                                    January 03, 2013




       7.) Find the factors of:
              6x + 9                                     1

                                                 x   x
                                                              1
                                                             1
                                1

               x   x        1


                                1




                                             1
                                                 1
                        x           x
                                        1




           x       ­x               1   ­1




                                                                                     9
Day 7 Factor with GCF.notebook           January 03, 2013




        Conjecture: How could be factor these
        expressions without using the algebra
        tiles?




                                                            10
Day 7 Factor with GCF.notebook                               January 03, 2013




        Factoring a polynomial using the
        Greatest Common Factor:




          ab + ac = a(b + c), where a is the Greatest Common Factor




                                                                                11
Day 7 Factor with GCF.notebook                                 January 03, 2013




     Find the prime factorization of the following numbers.



                       6                 12




     Based on what your experience, what does factoring mean?




     Based on that idea, what would to factors of 2x - 6 be?




                                                                                  12
Day 7 Factor with GCF.notebook                 January 03, 2013




                   Think-Pair-Share Activity

     Factor the following expressions.

             1.) 6x - 18


              2.) 4q + 12



              3.) 3 - 9x




                                                                  13
Day 7 Factor with GCF.notebook                 January 03, 2013




                   Think-Pair-Share Activity

     Factor the following expressions.

              4.) 4a - 2



                5.) 3x - 7



               6.) -3y - 6




                                                                  14
Day 7 Factor with GCF.notebook                 January 03, 2013




                   Think-Pair-Share Activity

     Factor the following expressions.

              7.) 9x - 27



                8.) 10 - 50x



               9.) 8x - 30




                                                                  15
Day 7 Factor with GCF.notebook        January 03, 2013




                   BEFORE YOU LEAVE

        Which property is used when
        you are factoring. Why?




                                                         16
Day 7 Factor with GCF.notebook              January 03, 2013




                                 Homework


         On Core Page 61 (all problems on that
         page)




                                                               17

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Day 7 factor with gcf