HSPA Math Macro 1b: Ratios,
proportions, and percents
Sample Open-ended
Item #3
Sample Item
Naser owns a rare stamp
collection. There are 45 rare stamps in his collection.
He wants to divide the stamps among his 3 children. He requested
that the oldest child receive 4/5 of the collection, the
middle child receive 1/10 of the collection and the youngest
child receive 1/15 of the collection. His children met and
tried to figure out how to distribute the stamps according
to their father’s specifications.
- How many stamps should each child
get?
- Did Naser choose the fractional
parts each child was to receive in the best way? Explain
why or why not.
|
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 the student does not show an understanding of fractions.
This response scored a "0"
because it shows little understanding of least common denominator
as well as multiplying fractions.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"1" Response
This response scored a "1"
no explanations or labels are provided, and the answer to the
second part of the question does not reference any math.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"2" Response
This response scored a "2"
because while labels are used and the distribution is correct,
there is no explanation given.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"3" Response
This response scored a "3"
because the answer is correct and all explanations clearly indicate
that the proper calculations were employed. In addition,
a decent explanation for "why" was included.
"0" Response | "1" Response | "2" Response | "3" Response | Top
|
