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OBJECTIVE:           How do we use functions

to find output values?
                                  Do Now




                                               1
Anticipatory Set




The Self­Operating Napkin: As you raise spoon of soup (A) to your mouth it pulls string (B), thereby 
jerking ladle (C) which throws cracker (D) past parrot (E). Parrot jumps after cracker and perch (F) 
tilts, upsetting seeds (G) into pail (H). Extra weight in pail pulls cord (I), which opens and lights 
automatic cigar lighter (J), setting off sky­rocket (K) which causes sickle (L) to cut string (M) and allow 
pendulum with attached napkin to swing back and forth thereby wiping off your chin.

QUESTION: Why is this cartoon funny?



Function: a mathematical procedure that operates according to a rule
to produce a single output value for each input value.

QUESTION: Explain how the Rube Goldberg cartoon uses an input, an
output, and a rule.




                                                                                                               2
OK Go Video


Honda Commercial


 Mythbusters




                   3
Today‛s functions will be shown as equations with two
variables.

    y = 2x + 9




QUESTION: Explain how to use the rule above if the input
value was 4.




QUESTION: How did you know the procedure?




                                                           4
Think-Pair-Share Activity:                        y = 3x
1.) Complete the function table individually.
2.) Discuss with your partner until agreement.


  Input                    Rule                  Output

      x                                            y

     -2

     -1

      0

      1

      2




                                                           5
Think-Pair-Share Activity:                       y = 2x + 9
1.) Complete the function table individually.
2.) Discuss with your partner until agreement.


  Input                    Rule                  Output

      x                                             y

     -2

     -1

      0

      1

      2




                                                              6
Think-Pair-Share Activity:
                                                 y = 3x - 4
1.) Complete the function table individually.
2.) Discuss with your partner until agreement.


  Input                    Rule                  Output

      x                                             y

     -2

     -1

      0

      1

      2




                                                              7
Think-Pair-Share Activity:
                                                 y = 4x2
1.) Complete the function table individually.
2.) Discuss with your partner until agreement.


  Input                    Rule                  Output

      x                                            y

     -2

     -1

      0

      1

      2




                                                           8
Plotting Points                                                                Origin(0,0)

(x,y) - Ordered pair                                         6
                                                                   y


                                                             5

                                                             4
x - move right(+) or left(-)                                 3

                                                             2

                                                             1
y- move up(+) or down(-)                                                                        x

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

                                                             ­2

                                                             ­3

                                                             ­4

                                                             ­5

                                                             ­6




                                                                                                    9
y
                                        6

                                        5

                                        4

                                        3
                                             A          (1 ,
                                        2                 2)

               B   (­3 
                   , 1)                 1
                                                                   E (3 ,                      x
                                                                       0)
­6   ­5   ­4   ­3         ­2       ­1    0          1          2    3       4          5   6
                                        ­1
                                                                                (4 ,
                                        ­2                                       ­2)

                                             (0 ,
                                                                            F
                                        ­3    ­3)

                           (­2 ,
                                             D
                             ­4)        ­4
                      C
                                        ­5

                                        ­6




                                                                                                   10
BEFORE YOU LEAVE
Explain the relationship between the cartoon from
the Anticipatory Set and functions.




                                                    11
Mr. Tjersland's Math 7




Homework: Pages 606-607 #1-3 all, 16, 18-21 all




                                                  12

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Day 1 intro to functions