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Day 2 Distributive Property.notebook                  December 14, 2012


        AIM: Distributive Property


                                       Do Now

                Simplify the following expressions.


                    a.) -2x + 8 - 2x - 6



                    b.) -4x - 4 - 8 + 6x




                                                                          1
Day 2 Distributive Property.notebook       December 14, 2012




                               Brain Pop




                                                               2
Day 2 Distributive Property.notebook             December 14, 2012




                              Anticipatory Set


            1.) Evaluate the following expression
            using order of operations.
                6(3 + 4)




           2.) What was the first step in
           your evaluation?




                                                                     3
Day 2 Distributive Property.notebook                         December 14, 2012




            3.) Why can you not evaluate the
            following expression?
                 6(x + 4)



      Distributive Property of Multiplication over Addition: To
      multiply the sum or difference, multiply each number within the
      grouping by the number outside the grouping symbol.




                                                                                 4
Day 2 Distributive Property.notebook                                    December 14, 2012




        Expression                             Model                   Re-Write

                                                       1           1
                                       x
                                               x       1           1
            3(2x + 4)
                                                   1           1
                                  x
                                           x       1       1




                                                   1       1
                1                x
        x                                  x       1       1
               -1




                                                                                            5
Day 2 Distributive Property.notebook                                    December 14, 2012




        Expression                         Model                       Re-Write


                                                 -1
            2(2x - 3)                  x
                                            x           -1
                                                                  -1




                                                             -1


                                             x     -1

                                                        -1
                                       x
                1
        x
               -1




                                                                                            6
Day 2 Distributive Property.notebook                                     December 14, 2012




        Expression                             Model                    Re-Write



                                                    -1
         4(x - 2)                          x

                                                -1



                                                -1            x    -1
                                       x

                                               -1                 -1

                                                         -1
                                           x
                 1                                   -1
        x
                -1




                                                                                             7
Day 2 Distributive Property.notebook                                    December 14, 2012




        Expression                         Model                       Re-Write



                                                       1
            2(x + 3)                       x
                                                                   1
                                                           1



                                               1
                                       x
                                                               1
                                                   1


                  1
        x
                 -1




                                                                                            8
Day 2 Distributive Property.notebook       December 14, 2012




         Conjecture: What property of
         mathematics allows us to simplify the
         expressions we have completed?



        Conjecture: How can we simplify an
        expression with the distributive property
        without using the algebra tiles?




                                                               9
Day 2 Distributive Property.notebook      December 14, 2012




     Simplify the following expressions using the
     distributive property. Show all work.

           D.) -5(x + 3)




           E.) -9(x - 6)




                                                          10
Day 2 Distributive Property.notebook      December 14, 2012




     Simplify the following expressions using the
     distributive property. Show all work.

              F.) -6(x + 4)




              G.) -6(x - 2)




                                                          11
Day 2 Distributive Property.notebook                 December 14, 2012




                      BEFORE YOU LEAVE

          Create expressions with parentheses
          that would simplify to the following.

          a.) 5x + 15                  b.) 8x - 16




                                                                     12
Day 2 Distributive Property.notebook              December 14, 2012




                                       Homework




                             Homework Sheet




                                                                  13
Day 2 Distributive Property.notebook   December 14, 2012




                  Mr. Tjersland's Math 7




      Homework: Homework Sheet




                                                       14
Day 2 Distributive Property.notebook                         December 14, 2012




        AIM: Distributive Property




        Distributive Property of Multiplication over Addition: To
        multiply the sum or difference, multiply each number within the
        grouping by the number outside the grouping symbol.




                                                                             15
Day 2 Distributive Property.notebook            December 14, 2012




        Expression                     Model   Re-Write



            3(2x + 5)




                3      5
        x
               -3     -5




                                                                16
Day 2 Distributive Property.notebook   December 14, 2012




              1.) -9(x - 6)




              2.) -5(x + 3)




                                                       17

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Day 2 distributive property