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Selected Response Example #1
Specification table for teachers:
Sample Item ID: MAT.HS.SR.1.0AREI.G.012
Grade: HS
1. Students can explain and apply mathematical concepts and carry out
Claim(s):
mathematical procedures with precision and fluency.
G. Represent and solve equations and inequalities graphically. Tasks for this
target will require students to interpret a line or curve as a solution set of
an equation in two variables, including tasks that tap student
understanding of points beyond the displayed portion of a graph as part of
the solution set. Some of these tasks should explicitly focus on non-integer
solutions (e.g., give three points on the graph of y = 7x + 2 that have xvalues between 1 and 2).
Assessment Other tasks for this target will require students to approximate solutions to
Target(s): systems of equations represented graphically, including linear, polynomial,
rational, absolute value, exponential and logarithmic functions (often
paired with 9-12.F Target B).
Other tasks for this target will require students to graph solutions to linear
inequalities and systems of linear inequalities in two variables. In some of
these tasks, students may be given points, sets of points, or regions and
asked to determine whether the indicated point(s) or regions are part of a
solution set.
Algebra: Reasoning with Equations and Inequalities
A-REI.12
1, 2, 5, 6
2
SR
2
M
G and J only
Content Domain:
Standard(s):
Practice(s):
DOK:
Item Type:
Score Points:
Difficulty:
Key:
Stimulus/Source:
Target-specific
attributes (e.g.,
accessibility
issues):
Notes: Multi-answer item
Samples are from SBAC Content Specification Appendix (Link)
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Student Task – Selected Response #1
The coordinate grid below shows points A through J.
Give the system of inequalities shown below, select all the points that are solutions to this
system of inequalities.
A
B
C
D
E
F
G
H
I
J
Samples are from SBAC Content Specification Appendix (Link)
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Scoring Rubric for Multi-part Items:
Responses to this item will receive 0 – 3 points, based on the following:
3 points:
For the exact 2 correct points, G and J
2 points:
For the correct 2 points and the inclusion of 1 incorrect point (E)
1 point:
For 1 correct point only
OR
For 1 correct point and the inclusion of 1-2 incorrect points
OR
For the correct 2 points and the inclusion of 2 incorrect points
0 points:
For no correct points
OR
For 1 and 2 correct points and the inclusion of 3 or more incorrect points
Rationale for choosing incorrect points:
E – confuses intersection of two lines with being a solution to the inequality
A & I – confuses a point lying on one of the lines with being a solution to the inequality
D, F, & H – incorrectly shades the side of the second inequality in the system
B – does not understand how to shade sides of the inequalities
C – incorrectly shades the side of the first inequality in the system
Samples are from SBAC Content Specification Appendix (Link)