# Mathematics Scoring Guide for Sample Test 2005

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1 Mathematics Scoring Guide for Sample Test 2005 Grade 5

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3 Contents Strand and Performance Indicator Map with Answer Key Holistic Rubrics Scoring Policies for Mathematics Complete and Correct Response and Annotated Student Responses Question Question Question Question Question Question Question Question Page 1

4 Strand and Performance Indicator Map with Answer Key Grade 5, Book 1 Question Type Points Strand Content Performance Indicator Answer Key 1 Multiple Choice 1 Measurement 5.M.5 B 2 Multiple Choice 1 Measurement 5.M.8 J 3 Multiple Choice 1 Number Sense and Operations 5.N.8 C 4 Multiple Choice 1 Number Sense and Operations 5.N.10 F 5 Multiple Choice 1 Geometry 5.G.1 D 6 Multiple Choice 1 Statistics and Probability 4.S.4 H 7 Multiple Choice 1 Number Sense and Operations 5.N.11 D 8 Multiple Choice 1 Geometry 5.G.7 G 9 Multiple Choice 1 Number Sense and Operations 5.N.18 D 10 Multiple Choice 1 Algebra 5.A.7 J 11 Multiple Choice 1 Number Sense and Operations 5.N.9 C 12 Multiple Choice 1 Number Sense and Operations 5.N.21 J 13 Multiple Choice 1 Geometry 5.G.8 C 14 Multiple Choice 1 Number Sense and Operations 4.N.8 F 15 Multiple Choice 1 Measurement 5.M.8 A 16 Multiple Choice 1 Geometry 5.G.10 H 17 Multiple Choice 1 Algebra 5.A.8 D 18 Multiple Choice 1 Geometry 5.G.5 J 19 Multiple Choice 1 Measurement 5.M.1 C 20 Multiple Choice 1 Number Sense and Operations 5.N.17 H 21 Multiple Choice 1 Statistics and Probability 5.S.3 C 22 Multiple Choice 1 Number Sense and Operations 5.N.3 G 23 Multiple Choice 1 Statistics and Probability 5.S.2 B 24 Multiple Choice 1 Algebra 5.A.6 H 25 Multiple Choice 1 Number Sense and Operations 5.N.7 A 26 Multiple Choice 1 Geometry 5.G.9 J Page 2

5 Strand and Performance Indicator Map with Answer Key Grade 5, Book 2 Question Type Points Strand 27 Short Response 2 Number Sense and Operations Content Performance Indicator 5.N.22 Answer Key n/a 28 Extended Response 3 Statistics and Probability 5.S.2 n/a 29 Short Response 2 Measurement 5.M.3 n/a 30 Extended Response 3 Geometry 5.G.4 n/a 31 Short Response 2 Measurement 5.M.8 n/a 32 Extended Response 3 Number Sense and Operations 5.N.8 n/a 33 Short Response 2 Algebra 4.A.2 n/a 34 Extended Response 3 Number Sense and Operations 5.N.26 n/a Page 3

6 2-Point Holistic Rubric Score Points: 2 Points A two-point response is complete and correct. This response demonstrates a thorough understanding of the mathematical concepts and/or procedures embodied in the task indicates that the student has completed the task correctly, using mathematically sound procedures contains clear, complete explanations and/or adequate work when required 1 Point A one-point response is only partially correct. This response indicates that the student has demonstrated only a partial understanding of the mathematical concepts and/or procedures embodied in the task addresses some elements of the task correctly but may be incomplete or contain some procedural or conceptual flaws may contain an incorrect solution but applies a mathematically appropriate process may contain a correct numerical answer but required work is not provided 0 Points A zero-point response is incorrect, irrelevant, incoherent, or contains a correct response arrived at using an obviously incorrect procedure. Although some parts may contain correct mathematical procedures, holistically they are not sufficient to demonstrate even a limited understanding of the mathematical concepts embodied in the task. Condition Code A Condition Code A is applied whenever a student who is present for a test session leaves an entire open-ended item in that session blank (no response). Page 4

9 Content-Specific Scoring Clarifications for Mathematics Tests 1. All necessary signs of operation should be present for work to be considered mathematically complete and correct. If signs of operation in the work shown are missing and it is absolutely clear and apparent in the student s work which operation is being used, and all other work required is correct, the student should receive full credit. 2. In questions that require students to provide bar graphs, touching bars are acceptable only at Grades 3 and If the question asks the student to provide an expression and the student provides an equation, this is an acceptable response at Grades 3 and 4 only. For additional clarification, see the web site Page 7

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13 This response is complete and correct. Score Point - 2 Page 11

14 This response contains an incorrect solution but applies a mathematically appropriate process. Addition is displayed in Part A and subtraction is displayed in Part B, demonstrating an understanding of the process required to solve the problem; however, the addition error in Part A leads to two incorrect answers. Score Point - 1 Page 12

15 This response is incorrect. Although some procedures have been set up correctly, holistically it is not sufficient to demonstrate even a limited understanding of the mathematical concepts embodied in the task. Score Point - 0 Page 13

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20 This response demonstrates a thorough understanding of the mathematical concepts embodied in the task. The graph begins at 1:00; therefore, the space before 1:00 does not need to be consistent with the spaces between the other numbers on the x-axis. Score Point - 3 Page 18

21 This response demonstrates a partial understanding of the mathematical concepts embodied in the task. The graph is complete and correct; however, incorrect times are given on the answer line. Score Point - 2 Page 19

22 This response demonstrates a limited understanding of the mathematical concepts embodied in the task. The answer, Between 1:00 p.m. and 2:00 p.m. is a correct response. However, a complete bar graph and not a line graph is drawn, indicating a conceptual error. Score Point - 1 Page 20

23 This response is completely incorrect. Score Point - 0 Page 21

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26 This response is complete and correct. Score Point - 2 Page 24

27 This response is partially correct. The shape s sides are not labeled, but the correct perimeter is given. Score Point - 1 Page 25

28 This response is completely incorrect. Score Point - 0 Page 26

29 Page 27

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31 All three responses are complete and correct. Score Point - 3 Page 29

32 This response demonstrates a partial understanding of the mathematical concepts embodied in the task. The responses in Part A and Part B are correct; however, Part C is incorrect. Score Point - 2 Page 30

33 This response demonstrates only a partial understanding of the mathematical concepts embodied in the task. Although the answer to Part B is correct, the response to Part A is incomplete, and Part C is incorrect. Score Point - 1 Page 31

34 This response is completely incorrect. Incorrect answers are provided for all three parts. Score Point - 0 Page 32

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37 This response is complete and correct. Score Point - 2 Page 35

38 This response demonstrates a partial understanding of the mathematical concepts embodied in the task. The angle is drawn correctly but it is incorrectly identified as a right angle. Score Point - 1 Page 36

39 This response is completely incorrect. Score Point - 0 Page 37

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42 Parts A and B are complete and correct. Score Point - 3 Page 40

43 This response demonstrates a partial understanding of the mathematical concepts embodied in the task. The incorrect number of squares is shaded in Part A; however, the decimals are placed in the correct order in Part B. Score Point - 2 Page 41

44 This response demonstrates a limited understanding of the mathematical concepts embodied in the task. The shading in Part A is correct while the order of the decimals in Part B is incorrect. Score Point - 1 Page 42

45 This response is completely incorrect. Score Point - 0 Page 43

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48 This response is complete and correct. Note that the work shown does not influence the scoring of the response, as showing work is not required. Score Point - 2 Page 46

49 This response demonstrates a partial understanding of the mathematical procedures embodied in the question. The fractions are placed correctly on the number line; however, the explanation is only partially correct. The explanation correctly states the bigger the denomentor the smaller the pieace, but incorrect information is also provided in the statement, the smaller the numerter the bigger the peice. Score Point - 1 Page 47

50 This response is incorrect. Listing the fractions in order from greatest to least is an incorrect strategy for placing the fractions on the number line. Score Point - 0 Page 48

51 Last Saturday, three students picked apples at an orchard. The table below shows the total number of baskets of apples each student picked. About how many total baskets of apples did the students pick? On the lines below, explain how you estimated the total number of baskets. Each of Lance s baskets contained 19 apples. About how many total apples did Lance pick? Page 49

52 OR other valid response (NOTE: Students may round up and/or down for their initial estimations.) OR other valid response Page 50

53 Last Saturday, three students picked apples at an orchard. The table below shows the total number of baskets of apples each student picked. About how many total baskets of apples did the students pick? On the lines below, explain how you estimated the total number of baskets. Each of Lance s baskets contained 19 apples. About how many total apples did Lance pick? This response is complete and correct. Score Point - 3 Page 51

54 Last Saturday, three students picked apples at an orchard. The table below shows the total number of baskets of apples each student picked. About how many total baskets of apples did the students pick? On the lines below, explain how you estimated the total number of baskets. Each of Lance s baskets contained 19 apples. About how many total apples did Lance pick? This response demonstrates a partial understanding of the mathematical procedures embodied in the task. Both correct numerical answers are provided; however, the explanation in Part A reflects some misunderstanding of the estimation process. Rounding is used at the end of the addition process, which is not acceptable for estimation. Score Point - 2 Page 52

55 Last Saturday, three students picked apples at an orchard. The table below shows the total number of baskets of apples each student picked. About how many total baskets of apples did the students pick? On the lines below, explain how you estimated the total number of baskets. Each of Lance s baskets contained 19 apples. About how many total apples did Lance pick? This response is incomplete. In Part A, the response correctly rounds each given number. However, the total is not provided and Part B is incorrect. Score Point - 1 Page 53

56 Last Saturday, three students picked apples at an orchard. The table below shows the total number of baskets of apples each student picked. About how many total baskets of apples did the students pick? On the lines below, explain how you estimated the total number of baskets. Each of Lance s baskets contained 19 apples. About how many total apples did Lance pick? This response is completely incorrect. Score Point - 0 Page 54

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