Function Machine Worksheet
Name: ______________________________
Period: _______
Part I. Function Machine Model & Guided Instruction.
How to find the output, when you know the input and function of the machine.
A. The rule for the input-output machine is: Output = 2·input – 3.
I. If you input 3 into the function machine, then what is the output?
____
II. If you input –5 into the function machine, then what is the
output? ____
How to find the function when you know the inputs and outputs.
If the input is –2, the output is 7.
If the input is 1, the output is –2.
If the input is 3, the output is –8.
B. What is the input-output rule for the function machine? _____________
Real life application.
C. Can you make a machine that applies to your life? Example: Perhaps the price of all the items in your
favorite store has increased by 10%. What would be the input-output rule for a 10% increase?
Part II. Determine the function.
A. Using the function envelopes, fill in the INPUT-OUTPUT tables.
i.
ii.
iii.
iv.
iii. Out =
iv. Out =
B. Write an input-output rule for each table.
i. Out =
ii. Out =
Adapted from http://learn.shorelineschools.org/shorecrest/rmann/index.php?section=documents and shodor.org
Part III. Tables.
A. What kind of numbers can be inputs? Are there any situations where the numbers for the inputs are
limited?
B. What kind of numbers can be outputs? Are there any situations where the numbers for the outputs are
limited?
C. How does the output depend on the rule?
D. If you restrict the inputs to only even numbers, then how would it change the outputs? Why?
Part IV. Create your own functions.
A. Each person will create 4 new input-output rules. (Example Out = 2 * In + 1) Create rules that you are
able to calculate the output correctly, but make sure they aren’t TOO EASY!
i.
ii.
iii.
iv.
B. Use the new rules to fill in all the boxes. Make sure that you enter in the correct numbers.
i.
ii.
iii.
iv.
Part V. Challenge your partner. Complete with A PARTNER AT YOUR TABLE.
A. Fill in the GREY BOXES in the tables on the Challenge Sheet WITHOUT including the input-output
rule or filling in the white boxes.
B. Exchange your Challenge Sheet with your partner.
C. Each partner should complete the pattern by filling in the white boxes and writing the input-output
rule for each table.
D. Exchange papers back to the “Table Creator” and check over your partner’s answers. Debrief your
partner on their progress and answers.
Adapted from http://learn.shorelineschools.org/shorecrest/rmann/index.php?section=documents and shodor.org
Challenge Sheet
Name: ___________________________
Names of Table Creator
___________________________________________________________________________________
Names of Table Solver
___________________________________________________________________________________
Tables Creator – complete your tables WITHOUT including the function or filling in the white boxes.
i.
ii.
iii.
iv.
Table Solver - Complete the pattern by filling in the white boxes and write the functions for each table.
i.
ii.
iii.
iv.
Table Solver - After checking your input-output rules with the Table Creator, make up a story of how one of
the rules may be used in the real world. For example, the rule Output = Input + 2 may describe global warming
(when average temperatures rise by two degrees each year), or a salary increase (everybody's salary is raised by
$2 per hour). The rule Output = Input*5 may describe the area of a rectangle in terms of one side, when the
length of another side is 5. Be sure to describe the context fully.
Adapted from http://learn.shorelineschools.org/shorecrest/rmann/index.php?section=documents and shodor.org