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Day 11 Slope.notebook                     November 26, 2012




      AIM: Slope of a Line


                             Do Now

        1.) What is the difference of -15 and
        10 on a number line?



         2.) What is the difference of -32 and
         -19 on a number line?




                                                              1
Day 11 Slope.notebook                                               November 26, 2012




      Anticipatory Set:  Does the graph on the right show a 
      proportional relationship?  If so, what is the constant of 
      proportionality? How did you find the constant?




                                                                                        2
Day 11 Slope.notebook                                                                       November 26, 2012




                                                                                    y

     Slope:                  y
                                                                              6

                                                                              5

                                                                              4


                             x                                                3

                                                                              2

                                                                              1
                                                                                                                x

               y 2 - y1                         ­6   ­5   ­4   ­3   ­2   ­1
                                                                              ­1
                                                                                0       1   2   3   4   5   6


             =                                                                ­2

               x2 - x1                                                        ­3

                                                                              ­4

                                                                              ­5

                                                                              ­6
    Find the slope of the graph on the right.




                                                                                                                    3
Day 11 Slope.notebook                                                       November 26, 2012




                                                           Find the slope

                    y
               10
                                       (2 , 
                                        10)
                9

                8

                7

                6
                            (1 ,
                5             5)

                4

                3

                2

                1
                                                                        x

                0       1          2      3    4   5   6   7   8   9   10




                                                                                                4
Day 11 Slope.notebook                                                                        November 26, 2012




                                                                            Find the slope

                    y
               10

                9

                8

                7

                6

                5
                                                             (4 ,
                4                                              4)
                                                  (3 ,
                3                                   3)
                                       (2 ,
                2                        2)
                            (1 ,
                1             1)
                                                                                         x

                0       1          2          3          4          5   6   7   8   9   10




                                                                                                                 5
Day 11 Slope.notebook                                                                        November 26, 2012




                                                                Find the slope

                    y
               10

                9

                8

                7

                6

                5
                                                                             (8 ,
                4                                                              4)
                                                              (6 ,
                3                                               3)
                                               (4 ,
                2                                2)
                                (2 ,
                1                 1)
                                                                                         x

                0       1   2          3   4          5   6          7   8          9   10




                                                                                                                 6
Day 11 Slope.notebook                                                                       November 26, 2012




            Fill in the table of values and create
            the graph. y = 4x
                  x                    4x                                   y
                  ­2
                  ­1
                  0
                  1
                  2


                                                            y
                                                      6

                                                      5

                                                      4

                                                      3

                                                      2

                                                      1
                                                                                        x

                        ­6   ­5   ­4   ­3   ­2   ­1     0       1   2   3   4   5   6
                                                      ­1

                                                      ­2

                                                      ­3

                                                      ­4

                                                      ­5

                                                      ­6




                                                                                                                7
Day 11 Slope.notebook                                                                       November 26, 2012




            Fill in the table of values and create the
            graph. y = -3x
                  x                    ­3x                                  y
                  ­2
                  ­1
                  0
                  1
                  2


                                                            y
                                                       6

                                                       5

                                                       4

                                                       3

                                                       2

                                                       1
                                                                                        x

                        ­6   ­5   ­4    ­3   ­2   ­1    0       1   2   3   4   5   6
                                                       ­1

                                                       ­2

                                                       ­3

                                                       ­4

                                                       ­5

                                                       ­6




                                                                                                                8
Day 11 Slope.notebook                                                   November 26, 2012




                         Before You Leave

       How are the two graphs above different?  How are their equations different?




                                                                                            9
Day 11 Slope.notebook              November 26, 2012




                        Homework


           On Core Page 45-46 #1-5 all




                                                   10

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Day 11 slope

  • 1. Day 11 Slope.notebook November 26, 2012 AIM: Slope of a Line Do Now 1.) What is the difference of -15 and 10 on a number line? 2.) What is the difference of -32 and -19 on a number line? 1
  • 2. Day 11 Slope.notebook November 26, 2012 Anticipatory Set:  Does the graph on the right show a  proportional relationship?  If so, what is the constant of  proportionality? How did you find the constant? 2
  • 3. Day 11 Slope.notebook November 26, 2012 y Slope: y 6 5 4 x 3 2 1 x y 2 - y1 ­6 ­5 ­4 ­3 ­2 ­1 ­1 0 1 2 3 4 5 6 = ­2 x2 - x1 ­3 ­4 ­5 ­6 Find the slope of the graph on the right. 3
  • 4. Day 11 Slope.notebook November 26, 2012 Find the slope y 10 (2 ,  10) 9 8 7 6 (1 , 5  5) 4 3 2 1 x 0 1 2 3 4 5 6 7 8 9 10 4
  • 5. Day 11 Slope.notebook November 26, 2012 Find the slope y 10 9 8 7 6 5 (4 , 4  4) (3 , 3  3) (2 , 2  2) (1 , 1  1) x 0 1 2 3 4 5 6 7 8 9 10 5
  • 6. Day 11 Slope.notebook November 26, 2012 Find the slope y 10 9 8 7 6 5 (8 , 4  4) (6 , 3  3) (4 , 2  2) (2 , 1  1) x 0 1 2 3 4 5 6 7 8 9 10 6
  • 7. Day 11 Slope.notebook November 26, 2012 Fill in the table of values and create the graph. y = 4x x 4x y ­2 ­1 0 1 2 y 6 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 7
  • 8. Day 11 Slope.notebook November 26, 2012 Fill in the table of values and create the graph. y = -3x x ­3x y ­2 ­1 0 1 2 y 6 5 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 8
  • 9. Day 11 Slope.notebook November 26, 2012 Before You Leave How are the two graphs above different?  How are their equations different? 9
  • 10. Day 11 Slope.notebook November 26, 2012 Homework On Core Page 45-46 #1-5 all 10