Topic: Experimental probability |
Mathematics |
| Standard 7. Understands and applies basic and advanced concepts of probability |
| | Level III (Grade 6-8) |
| | | Benchmark 2. | Determines probability using simulations or experiments |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of a simulation |
| | | | | 2. | Understands the concept of an experiment |
| | | | | 3. | Uses simulations to determine probability |
| | | | | 4. | Uses experiments to determine probability |
| | Level IV (Grade 9-12) |
| | | Benchmark 3. | Uses experimental and simulation methods (e.g., Monte Carlo simulations, statistical experiments, counting techniques) to determine probabilities |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands concept of Monte Carlo simulations |
| | | | | 2. | Uses formulas to determine permutations |
| | | | | 3. | Carries out a statistical experiment |
| | | | | 4. | Uses Monte Carlo simulation to determine probability |
| | | | | 5. | Understands the concept of a statistical experiment |
| | | | | 6. | Uses formulas to determine combinations |
| | | | | 7. | Uses counting principles to determine probability |
| | | | | 8. | Uses permutations to determine probability |
| | | | | 9. | Uses combinations to determine probability |
| | | Benchmark 4. | Understands the differences among experimental, simulation, and theoretical probability techniques and the advantages and disadvantages of each |
| | | | Knowledge/skill statements |
| | | | | 1. | Understands the concept of experimental probability techniques |
| | | | | 2. | Understands the concept of simulation probability techniques |
| | | | | 3. | Understands the concept of theoretical probability techniques |
| | | | | 4. | Understands the difference between experimental and simulation probability techniques |
| | | | | 5. | Understands the difference between experimental and theoretical probability techniques |
| | | | | 6. | Understands the difference between simulation and theoretical probability techniques |
| | | | | 7. | Knows the advantages of experimental probability techniques |
| | | | | 8. | Knows the advantages of simulation probability techniques |
| | | | | 9. | Knows the advantages of theoretical probability techniques |
| | | | | 10. | Knows the disadvantages of experimental probability techniques |
| | | | | 11. | Knows the disadvantages of simulation probability techniques |
| | | | | 12. | Knows the disadvantages of theoretical probability techniques |