Proportions Tables and Graphs
Authored by Anthony Clark
Mathematics
7th Grade
CCSS covered
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15 questions
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1.
OPEN ENDED QUESTION
1 min • 1 pt
Is this line proportional? If not, why? If yes, what is the constant?
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Answer explanation
The line goes through (0,0), so it might be.
Find 2 points. I choose (1,4) and (-1, -4).
The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 4/1, or 4.
I used that 4 to see if it works with the other set of coordinates.
-1 * -4=4
Yes, it worked with the other set coordinates.
k=4
Tags
CCSS.7.RP.A.2D
2.
OPEN ENDED QUESTION
1 min • 1 pt
Is this line proportional? If not, why? If yes, what is the constant?
Evaluate responses using AI:
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Answer explanation
This line does not go through (0,0). It is not proportional.
Tags
CCSS.8.EE.B.5
3.
OPEN ENDED QUESTION
1 min • 1 pt
Is this line proportional? If not, why? If yes, what is the constant?
Evaluate responses using AI:
OFF
Answer explanation
The line goes through (0,0), so it might be.
Find 2 points. I choose (1,2) and (2, 4).
The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 2/1, or 2.
I used that 4 to see if it works with the other set of coordinates.
2 * 2=4
Yes, it worked with the other set coordinates.
k=2
Tags
CCSS.7.RP.A.2D
4.
OPEN ENDED QUESTION
1 min • 1 pt
Is this table proportional? If yes, what is the constant? If no, why not?
Evaluate responses using AI:
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Answer explanation
No. Each x has a different number to multiply, to get each y.
Tags
CCSS.7.RP.A.2B
5.
OPEN ENDED QUESTION
1 min • 1 pt
Is this line proportional? If not, why? If yes, what is the constant?
Evaluate responses using AI:
OFF
Answer explanation
The line goes through (0,0), so it might be.
Find 2 points. I choose (-5, -3) and (5, 3).
The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 3/5.
I used that 4 to see if it works with the other set of coordinates.
-5 * (5/3) =3
Yes, it worked with the other set coordinates.
k=5/3
Tags
CCSS.7.RP.A.2D
6.
OPEN ENDED QUESTION
1 min • 1 pt
Is this table proportional? If yes, what is the constant? If no, why not?
Evaluate responses using AI:
OFF
Answer explanation
Yes, every x can be multiplied by 1, to get the y.
k=1
Tags
CCSS.7.RP.A.2B
7.
OPEN ENDED QUESTION
1 min • 1 pt
Is this line proportional? If not, why? If yes, what is the constant?
Evaluate responses using AI:
OFF
Answer explanation
All proportional lines must go through (0,0). This does not, so the line is not a proportion.
Tags
CCSS.7.RP.A.2D
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