2011 | ABRIDGED
MATHEMATICS FRAMEWORK
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10
Multiple-Choice Questions
Multiple-choice questions require students to read,
refect, or compute and then to select the alternative
that best expresses the answer. This format is
appropriate for quickly determining whether students
have achieved certain knowledge and skills. A
carefully constructed multiple-choice question can
assess any of the levels of mathematical complexity
(described earlier), from simple procedures to more
sophisticated concepts. Such questions, however,
have limited ability to provide evidence of the depth
of students’ thinking. Multiple-choice questions offer
four choices at grade 4 and fve choices at grades 8
and 12, and are scored as either correct or incorrect.
Sample Question:
5. Which of the following equations is NOT
equivalent to the equation n + 18 = 23?
A. 23 = n - 18
B. 23 = 18 + n
C. 18 = 23 - n
D. 18 + n = 23
E. n = 23 - 18
Short Constructed-Response Questions
To provide more reliable and valid indications of
students’ approaches to problems, NAEP assessments
include short constructed-response questions. These
questions require students to give either a numerical
result or the correct name or classifcation for a group
of mathematical objects, draw an example of a given
concept, or possibly write a brief explanation for a
given result. Short constructed-response questions
may be scored correct/incorrect or partially correct,
depending on the nature of the problem and the
information in students’ responses.
Sample Question:
15. The early show and the late show for a
movie last the same amount of time. The
early show begins at 3:15 P.M. and ends
at 4:27 P.M. The late show begins at 7:30
P.M. At what time does the late show end?
Show your work.
MOVIE TIMES
Early Show 3:15
Late Show
7:30
Extended Constructed-Response Questions
Extended constructed-response questions require students to consider a situation that demands more than
a numerical or short verbal response. These questions have more parts to the response and require more
time to complete than other questions. For example, the student may be asked to describe a situation,
analyze a graph or table of data, or set up and solve an equation, given a real-world problem. Responses are
scored on a fve-point scale, ranging from the most complete and mathematically correct response to an
incorrect answer. Test Yourself: Visit the