Math Released Item Grade 7. Points in a Table VH095849
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1 Math Released Item 2017 Grade 7 Points in a Table VH095849
2 Anchor Set A1 A8 With Annotations
3 Prompt
4 VH Rubric Score Description 3 Student response includes the following 3 elements. Reasoning component = 3 points o The student provides a correct explanation that a table that contains (1,1) does not necessarily represent a proportional relationship. o The student provides a correct explanation that a table that contains only positive values does not necessarily represent a proportional relationship. o The student provides a correct explanation that a straight line does not necessarily form a proportional relationship. Sample Student Response: In order for a table of values to represent a proportional relationship where one entry in the table is (1,1), all other entries in the table would have to be in the ratio 1:1. The values 2 and 3 are not in a 1:1 ratio. A table of values that has only positive values does not necessarily represent a proportional relationship. There are many tables of only positive values that are not in a proportional relationship. For example, the points (1,2) and (2,2) have positive values but because they do not form a line that passes through the point (0,0), the points do not form a proportional relationship. Just because the graph that contains these points is a line does not mean the points form a proportional relationship. The line that is formed would also need to contain (0,0) and this line contains (0,-1) Note: Other valid explanations are acceptable. For each part, if the student s response only indicates whether or not the reason indicates a proportional relationship without justifying why, then the student receives no credit for that part. 2 Student response includes 2 of the 3 elements. 1 Student response includes 1 of the 3 elements. 0 Student response is incorrect or irrelevant.
5 A1 Score Point 3
6 Annotation Anchor Paper 1 Score Point 3 This response receives full credit. It contains three of the three elements required: The student explains that reason 1 does not indicate a proportional relationship (in porportional relationship it doent matter if there is a 1,1 plot as long as it has a 0,0 plot). Note: The student is expected to address (0,0) being necessary to determine proportionality not (1,1). The student explains that reason 2 does not indicate a proportional relationship (boath porportional and non porportional relationships can have boath negitive numbers and positive numbers). Note: There are three typical types of justifications for reason 2; addressing that proportional line can contain negative numbers, not all lines containing positive values are proportional or non proportional lines contain positive values. The student explains that reason 3 does not indicate a proportional relationship (the have to be a straight line that connects the points but in some cases the same thing can happen in a non porportional relationship). Note: There are two typical types of justifications for reason 3; addressing the line needing to also pass through the origin or straight lines can be non proportional.
7 A2 Score Point 3
8 Annotation Anchor Paper 2 Score Point 3 This response receives full credit. It contains three of the three elements required: The student explains that reason 1 does not indicate a proportional relationship (A line must go through (0,0) to be proportional). The student explains that reason 2 does not indicate a proportional relationship (A relationship can be preoportional even if it does contain negative values). The student explains that reason 3 does not indicate a proportional relationship [Just because the line is straight does not mean it goes through (0,0)].
9 A3 Score Point 2
10 Annotation Anchor Paper 3 Score Point 2 This response receives partial credit. It contains two of the three required elements: The student explains that reason 1 does not indicate a proportional relationship [The point that you need is (0,0)]. The student explains that reason 2 does not indicate a proportional relationship (you can have a proprtional grapgh using negative numbers). The student does not justify why reason 3 is not an indicator of a proportional relationship (you must have points that form a straight line). The response incorrectly determines reason 3 must indicate a proportional relationship (true). Note: If a student incorrectly provides that one of the reasons is true, then the response cannot receive credit for the explanation. Since none of the reasons given indicate a proportional relationship, there is no way an explanation can justify that they do.
11 A4 Score Point 2
12 Annotation Anchor Paper 4 Score Point 2 This response receives partial credit. It contains two of the three required elements: The student explains that reason 1 does not indicate a proportional relationship [It has to touch the origin (0,0)]. The student explains that reason 3 does not indicate a proportional relationship (The table can not be proportional and the line can still be straight). The student does not justify that reason 2 does not indicate a proportional relationship (the table does have to have positive values to be proportional). The response incorrectly determines reason 2 must indicate a proportional relationship (Yes) and provides an incorrect justification.
13 A5 Score Point 1
14 Annotation Anchor Paper 5 Score Point 1 This response receives partial credit. It contains one of the three required elements: The student explains that reason 1 does not indicate a proportional relationship (it has to go through 0,0). The student does not justify that reason 2 is not an indicator of a proportional relationship (doesnt really matter). The student does not justify that reason 3 does not indicate a proportional relationship (it has to be a straight line to be proportional). The response incorrectly determines reason 3 must indicate a proportional relationship (correct).
15 A6 Score Point 1
16 Annotation Anchor Paper 6 Score Point 1 This response receives partial credit. It contains one of the three required elements: The student explains that reason 1 does not indicate a proportional relationship (it has to start on 0,0 not 1,1). The student does not justify why reason 2 is not an indicator of a proportional relationship (if some of the points were a negative it would not be the same). The justification is insufficient. It would need to address a proportional relationship can contain negative values. The student does not justify why reason 3 is not an indicator of a proportional relationship (the rules say that they have to be in a straight line). The response incorrectly determines reason 3 must indicate a proportional relationship (does indicate).
17 A7 Score Point 0
18 Annotation Anchor Paper 7 Score Point 0 This response receives no credit. It does not contain any of the three required elements: The student does not justify why reason 1 is not an indicator of a proportional relationship (the table starts at (1,1) so the line will go through the orgin). Although the response addresses the origin it is incorrect. The line formed from the ordered pairs given would not go through the origin [it would intercept the y axis at -1]. The explanation of starting at (1,1) and going through the origin are contradictory. The student does not justify why reason 2 is not an indicator of a proportional relationship (if it only contains positive values, then it would make a straight line). The response incorrectly determines reason 2 must indicate a proportional relationship. The student does not justify why reason 3 is not an indicator of a proportional relationship (To be proportionl, there must be a straight line). The response incorrectly determines reason 3 must indicate a proportional relationship (it would).
19 A8 Score Point 0
20 Annotation Anchor Paper 8 Score Point 0 This response receives no credit. It does not contain any of the three required elements: The student does not justify why reason 1 is not an indicator of a proportional relationship (Each time (x,y) are multiplied they equal a diffrent number). The student does not justify why reason 2 is not an indicator of a proportional relationship (it does contain positive values, but that does not make the number propotional). The student does not justify why reason 3 is not an indicator of a proportional relationship (If the lines that contains the points is staright means they are inversly proportional).
21 Practice Set P101 - P105 No Annotations Included
22 P101
23 P102
24 P103
25 P104
26 P105
27 Practice Set Paper Score P101 2 P102 1 P103 3 P104 1 P105 2
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