State of New Jersey Department of Education

STANDARD 4.4 (DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS): by Grade 3

SAMPLE TEST QUESTION

Probability [4.4.3.B.1] [Open-ended Question]

It is Cheryl's turn to spin a spinner to choose an activity for her physical education class. Cheryl will spin one of the spinners below to decide what the class will do.


Cheryl's favorite activity is swimming.

  • Find the probability of landing on swimming using Spinner 1.
  • Find the probability of landing on swimming using Spinner 2.
  • Decide which spinner Cheryl should choose if she wants to go swimming.
  • Explain why Cheryl should choose this spinner.

Scoring rubric

3 points
The student appropriately responds to all four parts of the question.

2 points
The student correctly finds the probability of landing on swimming for both spinner 1 and spinner 2.
OR
The student correctly finds the probability of landing on swimming for either spinner 1 or spinner 2. The student gives a reasonable explanation for which spinner Cheryl should choose.

1 point
The student correctly finds the probability of landing on swimming for either spinner 1 or spinner 2.
OR
The student gives a reasonable explanation for which spinner Cheryl should choose.

0 points
The response shows limited to no understanding of the problem's mathematical concepts.

Note: A reasonable explanation for bullet four might include bigger area, fewer choices, or comparison of fractions.