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1 Smarter Balanced Assessment Consortium: Practice Test Scoring Guide Grade 8 Mathematics 05/01/2015 Developed and published by CTB McGraw-Hill Education LLC Under contract with OSPI/Smarter Balanced Assessment Consortium Copyright 2014 Smarter Balanced Assessment Consortium
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. a sample of performance tasks with open-ended response types that allow students to demonstrate knowledge related to critical thinking and application. 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 Domain Target 2 Depth of Knowledge (DOK) Common Core State Standards for Mathematical Content (CONTENT) Common Core State Standards for Mathematical Practice (MP) Answer key or exemplar Static presentation of the item Static presentation of student response field(s) Rubric and applicable score points for each item 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. 2 When more than one target is presented, the first one listed is considered the primary target for the item. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 2
3 #1 1 NS A 2 8.NS.A.2 6 See exemplar Exemplar: (shown at right) ππ 5 at 0.3 at 0.4 just to the right of 0.6 Rubric: (2 points) Student places all three values at the correct positions on the number line. (1 point) Student places two of the three values at the correct positions on the number line. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 3
4 #2 1 NS A 1 8.NS.A.1 N/A See exemplar Exemplar: (shown at right) Rubric: (1 point) Student correctly classifies each number as rational or irrational (R,I,R,I,R). Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 4
5 #3 1 EE B 1 8.EE.A.2 N/A 18 Key: 18 Rubric: (1 point) Student enters the correct side length. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 5
6 #4 1 EE B 1 8.EE.A.4 N/A C Key: C Rubric: (1 point) Student selects the correct expression for the number of gallons of water that flow over the waterfall in 1 day. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 6
7 #5 1 F F 2 8.F.B.5 N/A See exemplar Exemplar: (shown at right) Rubric: (1 point) Student correctly graphs all three line segments. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 7
8 #6 1 G G 2 8.G.A.3 N/A See exemplar Exemplar: (shown at right) Rubric: (2 points) Student correctly reflects and translates all points. (1 point) Figure is reflected over the x-axis correctly; no translation. OR Figure is translated but not rotated. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 8
9 #7 1 EE C 1 8.EE.B.6 N/A y = x 1 3 Key: y 1 x 3 = or its equivalent. Rubric: (1 point) Student enters a correct equation. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 9
10 #8 1 EE C 1 8.EE.B.5 N/A See exemplar Exemplar: (shown at right) Rubric: (1 point) Student graphs a ray with a vertex at the origin and a slope of 2. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 10
11 #9 1 G H 2 8.G.B.7 N/A 12 Key: 12 or its equivalent Rubric: (1 point) Student enters the correct distance. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 11
12 #10 1 G H 2 8.G.B.8 N/A 3.6 Key: 3.6 Rubric: (1 point) Student enters the distance rounded to the nearest tenth of a mile. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 12
13 #11 1 G I 2 8.G.C Key: Rubric: (1 point) Student enters the correct height within the indicated range (to accommodate different acceptable values of pi). Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 13
14 #12 1 EE D 1 8.EE.C.8a 4 See exemplar Exemplar: (shown at right) Other correct solutions are possible. Rubric: (1 point) Student correctly graphs y = 5x 5 and y = x 1 OR any two lines that intersect only at ( 2, 3). Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 14
15 #13 1 EE D 2 8.EE.C.8b N/A D Key: D Rubric: (1 point) Student selects the correct statement. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 15
16 #14 1 EE D 2 8.EE.C.7a N/A See exemplar Exemplar: (shown at right) Other correct solutions are possible. Rubric: (1 point) Student creates an equation with no solutions. Other correct responses: Any equation with a slope of 4 and an intercept that is not 2. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 16
17 #15 1 G G 2 8.G.A.1a N/A D Key: D Rubric: (1 point) Student selects the correct segment length. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 17
18 #16 3 G G 3 8.G.A.3 2 See exemplar Exemplar: (shown at right) Rubric: (1 point) Student correctly selects the second and fourth statements. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 18
19 #17 1 F E 1 8.F.A.2 N/A A Key: A Rubric: (1 point) Student selects the correct equation. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 19
20 #18 3 EE D 3 8.EE.C.7a 1, 3 See exemplar Exemplar: (shown at right) Rubric: (1 point) Student correctly selects the second and third options. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 20
21 #19 1 F E 2 8.F.A.2 N/A See exemplar Exemplar: (shown at right) Other correct graphs possible. Rubric: (1 point) Student graphs the line y = 2x OR any line with a slope of 2 as long as the y-intercept is different than -3. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 21
22 #20 3 G B 3 8.G.A.2 1, 2, 3 See exemplar Exemplar 1: 1 st transformation is to reflect over the y-axis. 2 nd transformation is to rotate 90 counter-clockwise about the origin. 3 rd transformation is to translate right by 2 units. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 22
23 (Item #20 continued) Exemplar 2: 1 st transformation is to reflect over the x-axis. 2 nd transformation is to rotate 90 clockwise about the origin. 3 rd transformation is to translate right by 2 units. Other correct series of transformations are possible. Rubric: (2 points) Student describes three transformations with sufficient detail to prove that Figure A and Figure B are congruent. (1 point) Student either describes all three transformations in general terms, without the degree of precision necessary to prove congruency (e.g., rotation, reflection, and translation) or correctly describes two out of three transformations and incorrectly describes the third (e.g., states the rotation is 180 instead of 90 or translates in the wrong direction or an incorrect number of units). Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 23
24 #21 3 G F 2 7.G.A.5 1, 2 See exemplar Exemplar: (shown at right) Rubric: (1 point) Student selects the correct symbols for both comparisons. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 24
25 #22 2 EE D, B 2 8.EE.C.8 1 See exemplar Exemplar: (shown at right) Other correct graphs are possible. Rubric: (1 point) Student constructs a line that meets the stated requirements. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 25
26 #23 1 F F 1 8.F.B.4 N/A -5 Key: 5 or its equivalent Rubric: (1 point) Student enters a correct rate of change. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 26
27 #24 4 G, RP A 2 8.G.C.9, 7.RP.A.3 1, Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 27
28 (Item #25 continued) Key: Rubric: (2 points) Student enters a correct numerical value for the percent of volume that is filled at the end of 10 hours (accept values in the range ). (1 point) Student gives the amount filled after 10 hours (8250) but forgets to find the percentage of the filled amount to the volume OR student finds the volume of the silo only ( ). Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 28
29 #25 3 EE E 2 7.EE.B.3 3, 6 Step 3 Key: Step 3 Rubric: (1 point) Student correctly selects the third step. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 29
30 #26 1 SP J 1 8.SP.A.4 N/A See exemplar Exemplar: (shown below) Rubric: (1 point) Student fills in the table for all five cells with correct totals. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 30
31 #27 1 EE C 1 8.EE.B.5 N/A A Key: A Rubric: (1 point) Student selects the correct statement. Smarter Balanced Grade 8 Mathematics Practice Test Scoring Guide 31
Smarter Balanced Assessment Consortium:
Smarter Balanced Assessment Consortium: Practice Test Scoring Guide Grade 4 Mathematics 05/14/2014 Developed and published by CTB McGraw-Hill Education LLC Under contract with OSPI/Smarter Balanced Assessment
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