Computer-Based Sample Test Scoring Guide End-of...

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.


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


4

(1 Point) Student entered 𝑔(𝑥) = 2 ∗ √𝑥 + 4 − 6 or any equivalent equation.

Item Number


Math Practices

DOK

2 FUN HS.F-BF.B HS.F-BF.B.3 4, 5, 7 2


5

(1 Point)

Item Number


Math Practices

DOK

3 FUN HS.F-IF.C HS.F-IF.C.9 6, 7 2


6

(1 Point) Student selected the correct options.

Item Number


Math Practices

DOK

4 ALG HS.A-APR.A HS.A-APR.A.1 8 1


7

(1 point) Student selected the two correct options.

Item Number


Math Practices

DOK

5 ALG HS.A-REI.D HS.A-REI.D.11 2, 4, 5, 6 2


8

(1 point)

Item Number


Math Practices

DOK

6 FUN HS.A-SSE.B HS.A-SSE.B.4 3, 4, 7 1


9

(1 Point) Student entered 2𝑛−5 = 17 or any equivalent equation.

Item Number


Math Practices

DOK

7 FUN HS.F-LE.A HS.F-LE.A.4 7 2


10

(1 point) Student selected the correct options.

Item Number


Math Practices

DOK

8 ALG HS.A-REI.A HS.REI-A.2 2, 3, 7 3


11

(1 point) Student entered−10 + 11𝑖 or any equivalent expression containing -10 and 11i.

Item Number


Math Practices

DOK

9 STA HS.N-CN.A HS.N-CN.A.2 2, 7 2


12

(1 Point) Student created the correct graph.

Item Number


Math Practices

DOK

10 FUN HS.F-IF.B HS.F-IF.B.4 2, 4, 5, 6 2


13

(1 point) Student entered 0.16; any value between 0.16 and 0.164, inclusive.

Item Number


Math Practices

DOK

11 FUN HS.F-IF.B HS.F-IF.B.6 2, 4, 5 2


14

(1 point)

Item Number


Math Practices

DOK

12 STA HS.S-IC.B HS.S-IC.B.5 1, 4, 5, 8 3


15

(1 point) Student entered 𝑥2 + (𝑥 + 3)2 = 122 or any equivalent equation.

Item Number


Math Practices

DOK

13 ALG HS.A-CED.A HS.A-CED.A.1 2, 4, 5 2


16

(1 point) Student entered (4𝑚2 − 11𝑛3)(4𝑚2 + 11𝑛3) or any equivalent expression that is a product of two binomials.

Item Number


Math Practices

DOK

14 ALG HS.A-SSE.A HS.A-SSE.A.2 2, 7 2


17

(1 point) Student entered 43; any value between 42 and 45, exclusive.

Item Number


Math Practices

DOK

15 FUN HS.F-BF.A HS.F-BF.A.2 4, 5, 8 3


18

(1 point) Student entered the correct probability.

Item Number


Math Practices

DOK

16 STA HS.S-CP.B HS.S-CP.B.7 4, 5, 6, 7 2


19

(1 Point) Student selected the three correct values.

Item Number


Math Practices

DOK

17 FUN HS.A-APR.B HS.A-APR.B.3 2, 4, 5 1


20

(1 point) Student entered the correct value.

Item Number


Math Practices

DOK

18 ALG HS.A-APR.B HS.A-APR.B.2 2, 3 2


21

(1 point)

Item Number


Math Practices

DOK

19 STA HS.S-CP.A HS.S-CP.A.2 2, 4, 6, 7 3


22

(1 point) Student entered (−3+𝑖∗√47)

4 or

(−3−𝑖∗√47)

4 any equivalent expression.

Item Number


Math Practices

DOK

20 ALG HS.N-CN.C HS.N-CN.C.7 6, 8 2


23

(1 Point) Student entered the correct radian measure.

Item Number


Math Practices

DOK

21 FUN HS.F-TF.A HS.F-TF.A.1 N/A 2


24

(1 point) Student entered 𝑆(𝑚) = (135

𝑚× 2.84) − (

135

𝑚+1× 2.84) or any

equivalent function.

Item Number


Math Practices

DOK

22 FUN HS.F-BF.A HS.F-BF.A.1b 1, 2, 3, 4, 5, 6, 7, 8

3


25

(1 point) Student entered 13.5; any value between 13.5 and 13.6, inclusive.

Item Number


Math Practices

DOK

23 STA HS.S-ID.A HS.S-ID.A.4 1, 2, 3, 4, 5, 6, 7, 8

2


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


Math Practices

DOK

24 FUN HS.F-TF.B HS.F-TF.B.5 4, 5, 7 3

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