State of New Jersey Department of Education

STANDARD 4.1 (NUMBER AND NUMERICAL OPERATIONS): by Grade 3

SAMPLE TEST QUESTION

Number Operations [4.1.3.B.5] [Open-ended Question]

A juice machine charges 65¢ for a can of juice and accepts only nickels, dimes, and quarters. The machine requires exact change.

  • Show a combination of coins you could put in the juice machine to get a can of juice.
  • Is there another combination of coins you could use to get a can of juice? Show your work or explain your answer.

Scoring rubric

3 points
The response shows complete understanding of the problem's essential mathematical concepts. The student shows a correct combination of coins that add up to 65¢. The student states that there is another combination of coins that would work and shows his/her work.

2 points
The response shows nearly complete understanding of the problem's essential mathematical concepts. The student shows a correct combination of coins that add up to 65¢. The student states that there is another combination that would work but does not provide work.

1 point
The response shows limited understanding of the problem's essential mathematical concepts. The combination of coins is inaccurate due to a minor error.

0 points
The response shows insufficient understanding of the problem's essential mathematical concepts. The response is incomplete, inaccurate, and contains major errors.