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Geom13­1.notebook                                                                                    December 10, 2011




         BELL WORK: What do you remember about graphing lines?

         Draw an x­ y­ coordinate graph,                                             y
                                                                                6
         and graph the following line.                                          5

         Use any method you remember.                                           4
                                                                                3
                                                                                2
         y = 2x ­ 1                                                             1
                                                                                                                  x

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




        Agenda for the day:
        1. Today, we will begin Ch. 13. 
        2. You will have an exit slip.


        Look ahead:
        1. We will cover the first 3 sections of Ch. 13. 
        2. After that, we will begin reviewing for the final. 
             Just 3 more lessons!




                                                                                                                         1
Geom13­1.notebook                                                                                     December 10, 2011



         After this lesson, you should be able to graph lines and 
         circles using any of 3 methods.



         Looking back at the BELL WORK, 
         use your white boards to show me the graph you came up with.




        Let's graph this line like a defensive lineman:

        Put your head down, and push through step by step.

         y = 2x ­ 1                                              6
                                                                      y


                                                                 5

          x  y                                                   4
                                                                 3
                                                                 2
                                                                 1
                                                                                                  x

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




                                                                                                                          2
Geom13­1.notebook                                                                                                   December 10, 2011


       Now let's do the problem like a ballerina, elegantly!


                                                                                  y
         y = 2x ­ 1                                                          5
                                                                             4

         y­intercept:                                                        3
                                                                             2
                                                                             1
                                                                                                                                    x
         slope:
                                              ­6   ­5   ­4   ­3   ­2    ­1    0         1       2       3       4       5       6
                                                                             ­1
                                                                             ­2
                                                                             ­3
                                                                             ­4
                                                                             ­5
                                                                             ­6




         Examples:                                                                      y
                                                                                  6
                                                                                  5
         y = 3x ­ 3                                                               4
                                                                                  3
                                                                                  2
         x = 1                                                                    1
                                                                                                                                        x

                                                   ­6   ­5   ­4   ­3   ­2    ­1     0       1       2       3       4       5       6
         2y + 4 = ­x                                                              ­1
                                                                                  ­2
                                                                                  ­3

         y = ­2                                                                   ­4
                                                                                  ­5
                                                                                  ­6




                                                                                                                                            3
Geom13­1.notebook                                                                                                                      December 10, 2011


           Let's take a look at p.606 #3


           (x­1)2 + (y­2)2 = 25
                                                                                 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




        Finding x­ and y­ intercepts:
                                                                                                           y
                                                                                                       6
                                                                                                       5
        Find the intercepts of y = 4x ­ 2                                                              4
                                                                                                       3
                                                                                                       2
                                                                                                       1
                                                                                                                                               x

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




                                                                                                                                                           4
Geom13­1.notebook                                         December 10, 2011




              Who has their calculator? 




         Graphing on calculator.

         Finding x­intercepts: MENU, TRACE
                                or MENU, ANALYZE GRAPH, ZERO

         Finding y­intercepts: MENU, TRACE,




                                                                              5
Geom13­1.notebook                                                   December 10, 2011



         EXIT SLIP: Graph the following equation by making a table of x­ and 
         y­ values. I must see your table and graph. Check your work using 
         your calculator.

                       y = x ­ 1




            Homework: p. 607 #2­8,10
            due Monday




                                                                                        6

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Geom13-1

  • 1. Geom13­1.notebook December 10, 2011 BELL WORK: What do you remember about graphing lines? Draw an x­ y­ coordinate graph,  y 6 and graph the following line.  5 Use any method you remember. 4 3 2 y = 2x ­ 1 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 Agenda for the day: 1. Today, we will begin Ch. 13.  2. You will have an exit slip. Look ahead: 1. We will cover the first 3 sections of Ch. 13.  2. After that, we will begin reviewing for the final.  Just 3 more lessons! 1
  • 2. Geom13­1.notebook December 10, 2011 After this lesson, you should be able to graph lines and  circles using any of 3 methods. Looking back at the BELL WORK,  use your white boards to show me the graph you came up with. Let's graph this line like a defensive lineman: Put your head down, and push through step by step. y = 2x ­ 1 6 y 5 x  y   4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 2
  • 3. Geom13­1.notebook December 10, 2011 Now let's do the problem like a ballerina, elegantly! y y = 2x ­ 1 5 4 y­intercept: 3 2 1 x slope: ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 Examples: y 6 5 y = 3x ­ 3 4 3 2 x = 1 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 2y + 4 = ­x ­1 ­2 ­3 y = ­2 ­4 ­5 ­6 3
  • 4. Geom13­1.notebook December 10, 2011 Let's take a look at p.606 #3 (x­1)2 + (y­2)2 = 25 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 Finding x­ and y­ intercepts: y 6 5 Find the intercepts of y = 4x ­ 2 4 3 2 1 x ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 ­1 ­2 ­3 ­4 ­5 ­6 4
  • 5. Geom13­1.notebook December 10, 2011 Who has their calculator?  Graphing on calculator. Finding x­intercepts: MENU, TRACE      or MENU, ANALYZE GRAPH, ZERO Finding y­intercepts: MENU, TRACE, 5
  • 6. Geom13­1.notebook December 10, 2011 EXIT SLIP: Graph the following equation by making a table of x­ and  y­ values. I must see your table and graph. Check your work using  your calculator. y = x ­ 1 Homework: p. 607 #2­8,10 due Monday 6