HSPA Math Macro 3d: Applying
coordinate geometric properties, relationships, and patterns in real-world
and problem-solving contexts
Sample Open-ended
Item #1
Sample Item
At Johnny’s Burger Place,
a customer can get a customized meal by ordering either a turkey
burger, chicken burger, hamburger, or garden burger with a side
order of potato chips or french fries with a choice of either
juice, milk, or soda.
- Use a tree diagram to list all the
different combinations of a burger, side order and a drink.
- Describe ways and give examples of
how Johnny could change his menu so that a customer would
have 30 different choices.
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Item Introduction
View a video introduction to the scoring of
this item by clicking on one of the links below:
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 shows little understanding of combinations.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"1" Response
This response scored a "1"
because it shows a tree diagram to list the variations, but does
not answer half of the question.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"2" Response
This response shows a strong
understanding of variations by the comment, "add another
burger type," but does not explain the full list of variations
possible and does not show the requested diagram.
"0" Response | "1" Response | "2" Response | "3" Response | Top
"3" Response
This response scored a "3"
because, although it is sloppy, it demonstrates the 24 choices
and identifies how to solve the second part of the problem by
adding a burger choice.
This response scored a "3"
because the answer is correct and all explanations clearly indicate
that the proper calculations and logic were employed.
"0" Response | "1" Response | "2" Response | "3" Response | Top
This response scored a "3"
because it shows understanding of tree diagrams, variants e.g.
for the number of results.
"0" Response | "1" Response | "2" Response | "3" Response | Top
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