Common Core Standards:
- CCSS.Math.Content.HSS-IC.A.2 Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
- CCSS.Math.Content.HSS-IC.B.3Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
- CCSS.Math.Content.HSS-CP.A.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
Anticipatory Set:
For a warm-up, write the following question on the board, “I am rolling two dice. What is the probability that I will roll a 12? What about a 5?”
Direct Instruction:
1. Review theoretical probability with students. Give some examples, in addition to dice rolling.
2. Continue with examples, until students are comfortable with the procedure.
Guided Practice:
1. Hand out experimental probability sheet and two dice, for each pair of students.
2. Students will roll dice and record the experimental probability of each outcome.
Independent Practice:
1. Hand out theoretical probability sheet.
2. Students will calculate the theoretical probability of each outcome.
Conclusion:
1. Ask students if their experimental probability was the same as their theoretical probability.
2. Brainstorm, together, reasons for the difference.