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Fucntions
and Relationships [4.3.3.B.1] [Open-ended Question]
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Look at the two input-output tables below.
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Input
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Output
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4
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12
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5
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15
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7
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21
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Input
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Output
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4
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12
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5
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13
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7
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15
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Table
A Table
B
Each table has a different rule to change the input numbers
to get the output numbers.
- What is the rule for Table A?
- What is the rule for Table B?
- If the number 10 was the input, which table would you use
the get the greatest output? Explain your answer.
Scoring rubric
3 points
The student correctly states the rule for Table A is to
multiply the input by 3. The student correctly states
the rule for Table B is to add 8 to the input. The student
explains that Table A would be best to use as (10 x 3)
> (10 + 8)
2 points
The student correctly states the rule for Table A and
for Table B. The student does not clearly explain why
Table A would give the greatest value for an input of
10.
1 point
The student correctly states a rule for either Table A
or for Table B. The student may/may not explain why Table
A would yield the greatest value for 10.
0 points
The student shows insufficient or no understanding of
the problem's essential mathematical concepts.
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