Math Released Item Grade 3. Find the Area and Identify Equal Areas 1749-M23082

Transcription

1 Math Released Item 2018 Grade 3 Find the Area and Identify Equal Areas 1749-M23082

2 Anchor Set A1 A6 With Annotations

3 Prompt

4 1749-M23082 Rubric Part A Score Description 1 This part of the item is machine scored. Computation component = 1 point Sample Student Response: Option D - 6 x 4 = 24 0 Student response is incorrect or irrelevant M23082 Rubric Part B Score Description 2 Student response includes the following 2 elements. Reasoning component = 2 points o Valid explanation of why Figures Y and Z do not have the same area. o Valid explanation of what must be true for any two figures to have the same area. Sample Student Response: Figure Y and Figure Z do not have the same areas because Figure Y is made up of 14 unit squares and has an area of 7 x 2 = 14 square units. Figure Z is made up of 15 unit squares and has an area of 5 x 3 = 15 square units. Two figures must have the same number of unit squares in order to have the same area. Or other valid response. 1 Student response includes 1 of the 2 elements. 0 Student response is incorrect or irrelevant.

5 A1 Score Point 2

6 Annotation Anchor Paper 1 Score Point 2 This response receives full credit. It contains each of the two required elements. The student provides a valid explanation of why Figures Y and Z do not have the same area (Figure Y and Z do not have the same area... I found this by, for figure Y,doing 2 rows x 7 columns, 2 x 7 = 14. For Figure Z, I found the area by doing 3 rows x 5 columns. 3 x 5 = > 14, so they are not equivalent). The student provides a valid explanation of what must be true for any two figures to have the same area (They must have the same amount of squares in them and they must be equal).

7 A2 Score Point 2

8 Annotation Anchor Paper 2 Score Point 2 This response receives full credit. It contains each of the two required elements. The student provides a valid explanation of why Figures Y and Z do not have the same area (figure Y has mesurements 2 and 7, while Z has 3 and 5. Hence, Y has area 14 and Z has area 15). Although the student does not explicitly state that the two figures do not have the same area, providing the correct area of each figure to show they are not the same, is sufficient to receive credit for this element. The student provides a valid explanation of what must be true for any two figures to have the same area (Their mesurements have to have the same products). A clear understanding is provided that figures with the same number of unit squares will have the same area.

9 A3 Score Point 1

10 Annotation Anchor Paper 3 Score Point 1 This response receives partial credit. It contains one of the two required elements. The student provides a valid explanation of why Figures Y and Z do not have the same area (They do not have the same area because 7 x 2 = 14,and 3 x 5 = 15 arn t the same proudects). The student understands the two figures have different dimensions, that when multiplied, result in different numbers of unit squares so the areas are not equal. The response does not provide a valid explanation of what must be true for any two figures to have the same area.

11 A4 Score Point 1

12 Annotation Anchor Paper 4 Score Point 1 This response receives partial credit. It contains one of the two required elements. The student provides a valid explanation of why Figures Y and Z do not have the same area (Figure y has 2 x 7 = 14 figure z has 3 x 5 = 15 my answer is no they don t have the same area). The response provides a vague explanation of what must be true for any two figures to have the same area (To be the same area figure z has to be 15 1 = 14 or figure y has to be = 15). The response is attempting to explain that Figure Z would need to have one unit square removed to equal the area of Figure Y, or that Figure Y would need to add a unit square to have an area equal to Figure Z. This is not sufficient to address what must be true for any two figures to have the same area.

13 A5 Score Point 0

14 Annotation Anchor Paper 5 Score Point 0 This response receives no credit. It contains neither of the two required elements. The response provides a vague explanation of why Figures Y and Z do not have the same area (figure z an figure y are not the same area. they do not have the same area in side cuse there just not the same). The response does not clearly explain what is not the same about Figures Y and Z that makes their areas unequal. The response needs to show work or explain why the figures do not contain the same number of unit squares and are not the same area to receive credit for this element. Simply repeating that the two figures are not the same area is not a sufficient explanation. The response does not provide a valid explanation of what must be true for any two figures to have the same area.

15 A6 Score Point 0

16 Annotation Anchor Paper 6 Score Point 0 This response receives no credit. It contains neither of the two required elements. The response does not provide a valid explanation of why Figures Y and Z do not have the same area. The response provides a vague explanation of what must be true for any two figures to have the same area (what it must have to have the same area is that it must have the same sq unit). It is not clear whether the response is stating that the figures simply need to be composed of equally sized unit squares, which is how they are composed, or if two figures would need to have an equal number of square units to have the same area.

17 Practice Set P1 - P5 No Annotations Included

18 P1

19 P2

20 P3

21 P4

22 P5

23 Practice Set Paper Score P1 2 P2 1 P3 2 P4 0 P5 1