Smarter Balanced Assessment Consortium: Mathematics Practice Test Scoring Guide Grade 8
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1 Smarter Balanced Assessment Consortium: Mathematics Practice Test Scoring Guide Grade 8 08/01/2016
2 About the Practice Test Scoring Guides The Smarter Balanced Mathematics Practice Test Scoring Guides provide details about the items, student response types, correct responses, and related scoring considerations for the Smarter Balanced Practice Test items. The items selected for the Practice Test are designed to reflect a broad coverage of claims and targets that closely mirror the summative blueprint. a range of student response types. a breadth of difficulty levels across the items, ranging from easier to more difficult items. It is important to note that all student response types are not fully represented on every practice test, but a distribution can be observed across all the practice tests. The items presented are reflective of refinements and adjustments to language based on pilot test results and expert recommendations from both content and accessibility perspectives. Within this guide, each item is presented with the following information 1 : Claim: statement derived from evidence about college and career readiness Domain: a broad content area that contains related targets and standards (i.e., Geometry) Target: statement that bridges the content standards and the assessment evidence that supports the claim Depth of Knowledge (DOK): measure of complexity considering the student s cognitive process in response to an item. There are four DOK levels, a 4 being the highest level. Common Core State Standards for Mathematical Content (CCSS-MC) Common Core State Standards for Mathematical Practice (CCSS-MP) Static presentation of the item: static presentation of item from test administration system Static presentation of student response field(s): static presentation of response field from test administration system Answer key or exemplar: expected student response or example response from score point value Rubric and applicable score points for each item: score point representations for student responses The following items are representative of the kinds of items that students can expect to experience when taking the Computer Adaptive Test (CAT) portion of the summative assessment for grade 8. A separate document is available that provides a grade 8 sample performance task and scoring guide. 1 Most of these terms (Claim, Domain, Target, DOK, etc.) are defined in various other Smarter Balanced documents, as well as the Common Core State Standards for Mathematics. Refer to the Content Specifications for the Summative Assessment of the Common Core State Standards for Mathematics for more information. Smarter Balanced Practice Test Scoring Guide 2
3 #1 1 EE B 1 8.EE.A.1 N/A Key: 14 Rubric: (1 point) The student enters the correct number for n. Smarter Balanced Practice Test Scoring Guide 3
4 #2 1 EE C 1 8.EE.B.5 4 Exemplar: (shown at right) Rubric: (1 point) The student draws a ray that represents the proportional relationship. Note: The ray does not need to extend past 5 seconds to be scored correctly. Smarter Balanced Practice Test Scoring Guide 4
5 #3 1 NS A 1 8.NS.A.2 N/A Key: F, T, T, F Rubric: (1 point) The student correctly classifies each comparison as true or false. Smarter Balanced Practice Test Scoring Guide 5
6 #4 1 EE B 1 8.EE.A.2 N/A Exemplar: (shown at right) Rubric: (1 point) The student correctly identifies all possible values for x. Smarter Balanced Practice Test Scoring Guide 6
7 #5 1 NS A 1 8.NS.A.1 N/A Key: R, I, R, R Rubric: (1 point) The student correctly classifies each number as rational (R) or irrational (I). Smarter Balanced Practice Test Scoring Guide 7
8 #6 1 EE C 2 8.EE.B.6 4 Key: y = x or y = 0.5x or equivalent Rubric: (1 point) The student enters a correct equation. Smarter Balanced Practice Test Scoring Guide 8
9 #7 3 EE E 2 8.EE.A.1 3, 7 Key: D Rubric: (1 point) The student selects the correct step and expression. Smarter Balanced Practice Test Scoring Guide 9
10 #8 1 EE C 2 8.EE.B.5 7 Key: A Rubric: (1 point) The student selects the statement that best describes the graph. Smarter Balanced Practice Test Scoring Guide 10
11 #9 1 F F 2 8.F.B.4 8 Key: T, F, T Rubric: (1 point) The student correctly classifies each statement as true or false. Smarter Balanced Practice Test Scoring Guide 11
12 #10 1 EE D 2 8.EE.C.7 3 Key: C Rubric: (1 point) The student selects the correct statement. Smarter Balanced Practice Test Scoring Guide 12
13 #11 1 F E 1 8.F.A.1 8 Key: A Rubric: (1 point) The student selects the correct table of values. Smarter Balanced Practice Test Scoring Guide 13
14 #12 1 G G 1 8.G.A.1 N/A Key: 5 Rubric: (1 point) The student enters the correct length. Smarter Balanced Practice Test Scoring Guide 14
15 #13 3 EE A 2 8.EE.A.1 3, 7 Exemplar: (shown at right) Note: Other correct responses are possible such that any two exponents on the left side of the equation sum to the exponent on the right side of the equation. Rubric: (1 point) The student enters three acceptable exponents. Smarter Balanced Practice Test Scoring Guide 15
16 #14 4 F E 3 8.F.B 1 Key: B Rubric: (1 point) The student selects the correct equation. Smarter Balanced Practice Test Scoring Guide 16
17 #15 1 F F 2 8.F.B.5 1 Key: T, T, F Rubric: (1 point) The student correctly classifies each statement as true or false. Smarter Balanced Practice Test Scoring Guide 17
18 #16 2 EE A 2 8.EE.C.8 2 Key: 10 adult tickets, 4 child tickets Rubric: (2 points) The student enters the correct number of adult tickets AND child tickets. (1point) The student enters the correct number of adult tickets OR child tickets. Smarter Balanced Practice Test Scoring Guide 18
19 #17 3 G E 2 8.G.A.5 3 Key: B Rubric: (1 point) The student selects the correct statement. Smarter Balanced Practice Test Scoring Guide 19
20 #18 2 EE A 2 8.EE.C 2 Key: 9 Rubric: (1 point) The student enters the correct number of books. Smarter Balanced Practice Test Scoring Guide 20
21 #19 1 G G 2 8.G.A.3 2 Key: T, T, F Rubric: (1 point) The student correctly identifies each statement as true or false. Smarter Balanced Practice Test Scoring Guide 21
22 #20 3 G D 2 8.G.A.5 7 Exemplar: (shown at right) Rubric: (1 point) The student selects the symbols that make both comparisons true. Smarter Balanced Practice Test Scoring Guide 22
23 #21 1 SP J 2 8.SP.A.3 4 Key: y-intercept any value from 240 to 250; slope any value from -3 to -4 Rubric: (2 points) The student enters an acceptable y-intercept AND slope (1 point) The student enters an acceptable y-intercept OR slope. Smarter Balanced Practice Test Scoring Guide 23
24 #22 1 G H 2 8.G.B.7 N/A Key: 53 Rubric: (1 point) The student enters the correct length. Smarter Balanced Practice Test Scoring Guide 24
25 #23 3 EE A,D 2 8.EE.C.7 3 Key: D Rubric: (1 point) The student selects the correct value for c. Smarter Balanced Practice Test Scoring Guide 25
26 #24 1 G I 2 8.G.C.9 N/A Key: any response between and to allow for various approximations of pi Rubric: (1 point) The student enters a correct volume. Smarter Balanced Practice Test Scoring Guide 26
27 #25 3 F G 3 8.F.A.3 6 Exemplar: (shown at right) Rubric: (1 point) The student selects all of the linear equations. Smarter Balanced Practice Test Scoring Guide 27
28 #26 1 EE D 2 8.EE.C.8 N/A Exemplar: (shown at right) Rubric: (1 point) The student constructs a line that represents the equation, AND the student adds a point at (-4, -5) to represent the solution of the system of equations. Smarter Balanced Practice Test Scoring Guide 28
29 #27 3 G B 4 8.G.A.4 2 Smarter Balanced Practice Test Scoring Guide 29
30 Sample Exemplar Response (2 points): Trapezoid A was rotated 90 degrees counterclockwise about the origin. The resulting image was then dilated by a scale factor of 1/3. The final transformation was a translation down by 3 units. Rubric: (2 points) The student correctly lists three transformations performed on trapezoid A with sufficient detail to prove that trapezoid B is similar to trapezoid A. Included in the response is the correct scale factor for the dilation, and reference is made to the origin as the center of dilation. (1 point) The student correctly lists a sequence of transformations, but detail is lacking or incomplete. Smarter Balanced Practice Test Scoring Guide 30
31 #28 4 SP 8.EE.C A 3 4 Key: 6000 Rubric: (1 point) The student enters the correct number of tablespoons of chemical. Smarter Balanced Practice Test Scoring Guide 31
32 #29 4 SP C 2 7.SP.C.8 6 Exemplar: (shown at right) Rubric: (2 points) The student correctly fills in all 9 cells. (1 point) The student correctly fills in 6 8 cells. Smarter Balanced Practice Test Scoring Guide 32
33 #30 1 EE D 2 8.EE.C.8 N/A Key: 0 Rubric: (1 point) The student enters the correct y coordinate of the solution. Smarter Balanced Practice Test Scoring Guide 33
34 #31 3 RP C 2 7.RP.A.2 1 Exemplar: (shown at right) Rubric: (1 point) The student correctly identifies all the true statements. Smarter Balanced Practice Test Scoring Guide 34
35 #32 1 G I 2 8.G.C.9 N/A Key: Rubric: (1 point) The student gives a correct value within a range to accommodate different acceptable values of pi (565.1 to 565.5). Smarter Balanced Practice Test Scoring Guide 35
36 #33 2 EE, RP D 3 8.EE.C.8, 1 6.RP.A.3 Exemplar: (shown at right) Rubric: (2 points) The student enters the correct number of students for all five cells. (1 point) The student enters the correct number of students for three or four of the cells. Smarter Balanced Practice Test Scoring Guide 36
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