Illustrative Mathematics | v.360 Curriculum

Problem 1

Here are several function rules. Calculate the output for each rule when you use -6 as the input.

Six function rule diagrams, no input or output given for any. Rule 1, subtract 7.<br> — rule 1

Six function rule diagrams, no input or output given for any. Rule 2, square the input.<br> — rule 2

Six function rule diagrams, no input or output given for any. Rule 3, divide by 3.<br> — rule 3

Six function rule diagrams, no input or output given for any. Rule 4, divide the input into 3.<br> — rule 4

Six function rule diagrams, no input or output given for any. Rule 5, write pi.<br> — rule 5

Six function rule diagrams, no input or output given for any. Rule 6, find the volume of a cube with side length equal to the input in centimeters. — rule 6

Problem 2

A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 meters by their time. Is each statement true or false? Explain your reasoning.

Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.

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Problem 3

ForLesson 15: Writing Systems of Equations

Diego’s history teacher writes a test with 26 questions for the class. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each and essays worth 8 points each. How many essay questions are on the test? Explain or show your reasoning.

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Problem 4

These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not? Explain or show your reasoning.

Table A:

input	output
-2	4
-1	1
0	0
1	1
2	4

Table B:

input	output
4	-2
1	-1
0	0
1	1
4	2

Table C:

input	output
1	0
2	0
3	0

Table D:

input	output
0	1
0	2
0	3

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