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Computer-Based Sample Test Scoring Guide
End-of-Course Algebra II AzMERIT
Updated January 24, 2017 Prepared by the Arizona Department of Education and the American Institutes for Research®
Sample Test Scoring Guide-EOC Algebra II Spring 2017
2
About the Sample Test Scoring Guide The AzMERIT Sample Test Scoring Guides provide details about the items, student response types, correct responses, and related scoring considerations for AzMERIT Sample Test items. Within this guide, each item is presented with the following information:
Item number
Domain
Cluster
Content Standard
Math Practices
Depth of Knowledge (DOK)
Static presentation of the item
Static presentation of student response field (when appropriate)
Answer key, rubric or exemplar
Applicable score point(s) for each item The items included in this guide are representative of the kinds of items that students can expect to experience when taking the computer-based test for AzMERIT End-of-Course Algebra II.
Sample Test Scoring Guide-EOC Algebra II Spring 2017
3
EOC Algebra II Sample Test
(1 Point)
Item Number
Domain Cluster Content Standard
Math Practices
DOK
1 ALG HS.A-APR.C HS.A-APR.C.4 7, 8 3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
4
(1 Point) Student entered 𝑔(𝑥) = 2 ∗ √𝑥 + 4 − 6 or any equivalent equation.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
2 FUN HS.F-BF.B HS.F-BF.B.3 4, 5, 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
5
(1 Point)
Item Number
Domain Cluster Content Standard
Math Practices
DOK
3 FUN HS.F-IF.C HS.F-IF.C.9 6, 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
6
(1 Point) Student selected the correct options.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
4 ALG HS.A-APR.A HS.A-APR.A.1 8 1
Sample Test Scoring Guide-EOC Algebra II Spring 2017
7
(1 point) Student selected the two correct options.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
5 ALG HS.A-REI.D HS.A-REI.D.11 2, 4, 5, 6 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
8
(1 point)
Item Number
Domain Cluster Content Standard
Math Practices
DOK
6 FUN HS.A-SSE.B HS.A-SSE.B.4 3, 4, 7 1
Sample Test Scoring Guide-EOC Algebra II Spring 2017
9
(1 Point) Student entered 2𝑛−5 = 17 or any equivalent equation.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
7 FUN HS.F-LE.A HS.F-LE.A.4 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
10
(1 point) Student selected the correct options.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
8 ALG HS.A-REI.A HS.REI-A.2 2, 3, 7 3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
11
(1 point) Student entered−10 + 11𝑖 or any equivalent expression containing -10 and 11i.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
9 STA HS.N-CN.A HS.N-CN.A.2 2, 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
12
(1 Point) Student created the correct graph.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
10 FUN HS.F-IF.B HS.F-IF.B.4 2, 4, 5, 6 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
13
(1 point) Student entered 0.16; any value between 0.16 and 0.164, inclusive.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
11 FUN HS.F-IF.B HS.F-IF.B.6 2, 4, 5 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
14
(1 point)
Item Number
Domain Cluster Content Standard
Math Practices
DOK
12 STA HS.S-IC.B HS.S-IC.B.5 1, 4, 5, 8 3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
15
(1 point) Student entered 𝑥2 + (𝑥 + 3)2 = 122 or any equivalent equation.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
13 ALG HS.A-CED.A HS.A-CED.A.1 2, 4, 5 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
16
(1 point) Student entered (4𝑚2 − 11𝑛3)(4𝑚2 + 11𝑛3) or any equivalent expression that is a product of two binomials.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
14 ALG HS.A-SSE.A HS.A-SSE.A.2 2, 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
17
(1 point) Student entered 43; any value between 42 and 45, exclusive.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
15 FUN HS.F-BF.A HS.F-BF.A.2 4, 5, 8 3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
18
(1 point) Student entered the correct probability.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
16 STA HS.S-CP.B HS.S-CP.B.7 4, 5, 6, 7 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
19
(1 Point) Student selected the three correct values.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
17 FUN HS.A-APR.B HS.A-APR.B.3 2, 4, 5 1
Sample Test Scoring Guide-EOC Algebra II Spring 2017
20
(1 point) Student entered the correct value.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
18 ALG HS.A-APR.B HS.A-APR.B.2 2, 3 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
21
(1 point)
Item Number
Domain Cluster Content Standard
Math Practices
DOK
19 STA HS.S-CP.A HS.S-CP.A.2 2, 4, 6, 7 3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
22
(1 point) Student entered (−3+𝑖∗√47)
4 or
(−3−𝑖∗√47)
4 any equivalent expression.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
20 ALG HS.N-CN.C HS.N-CN.C.7 6, 8 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
23
(1 Point) Student entered the correct radian measure.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
21 FUN HS.F-TF.A HS.F-TF.A.1 N/A 2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
24
(1 point) Student entered 𝑆(𝑚) = (135
𝑚× 2.84) − (
135
𝑚+1× 2.84) or any
equivalent function.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
22 FUN HS.F-BF.A HS.F-BF.A.1b 1, 2, 3, 4, 5, 6, 7, 8
3
Sample Test Scoring Guide-EOC Algebra II Spring 2017
25
(1 point) Student entered 13.5; any value between 13.5 and 13.6, inclusive.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
23 STA HS.S-ID.A HS.S-ID.A.4 1, 2, 3, 4, 5, 6, 7, 8
2
Sample Test Scoring Guide-EOC Algebra II Spring 2017
26
(1 point) Student entered 𝑓(𝑥) = (3
4) sin 8𝑥 or any equation in the form 𝑓(𝑥) =
𝑎 sin(𝑏𝑥 + 𝑐) or 𝑓(𝑥) = 𝑎cos(𝑏𝑥 + 𝑐) where a is equivalent to 0.75 or -0.75, b is equivalent to 8 or -8, and c is any value, or missing.
Item Number
Domain Cluster Content Standard
Math Practices
DOK
24 FUN HS.F-TF.B HS.F-TF.B.5 4, 5, 7 3
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