Develop and apply number theory concepts in problem solving situations.
Sample Item
|
Maurice and Aldo both go to the same library.
The last time they saw each other was last Thursday.
Maurice goes to the library every seven days. Aldo
goes to the library every five days.
-
How many days, from
their last meeting, will they both be at the library
together?
-
Show how you arrived
at your answer.
|
Sample Responses
Click on a link below to view individual student
responses and scorer comments to this sample test item:
"0" Response | "1" Response | "2" Response | "3" Response | Top
"0" Response
This response scored a "0"
because it doesn't show knowledge of patterns, systems, or least
common multiple.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"1" Response
This response scored a "1"
because it began a chart but didn't follow through to get an answer.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"2" Response
This response scored a "2"
because it uses appropriate knowledge of repeated systems, but
it does not show the math used to solve the problem. It forces
the scorer to infer that one of the boys goes to the library every
Thursday.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"3" Responses
These responses scored "3"
because the students used the principle of lowest common multiple
to help solve the problem, and the answers show knowledge of pattern
recognition.
"0" Response | "1" Response | "2" Response | "3" Response | Top
