Probability
| Grade | Work Samples |
|---|---|
| End of Stage 5 (end of Year 10) | |
| Grade C | Lesley(C6) Indra(C6) Pat(C6) Ariel(C6) Casey(C5) |
| Grade D | Cameron(D4) Jamie(D4) Tracy(D4) Darcy(D3) |
| Grade E | Bailey(E2) |
Description of Activity
- Judy and Natasha decide to toss a die to see who will go first on the computer. Judy says Natasha can go first if the die shows a number bigger than 4. Is this fair? Why?
- What criteria would you suggest that would be fair?
- In a game, the last six tosses of a die have resulted in an even number. What is the probability that the next throw will result in an odd number? Give reasons for your answer.
Context
Number, Working Mathematically
This assessment activity could be presented to students at the end of a unit on Probability, where students have been performing operations with chance events.
Areas for Assessment
- Working mathematically
Knowledge, skills and understanding developed through inquiry, application of problem-solving strategies, communication, reasoning and reflection - Number
Knowledge, skills and understanding in mental and written computation and numerical reasoning
Outcomes:
Probability (NS5.1.3)
Determines relative frequencies and theoretical probabilities
Applying Strategies (WMS5.1.2)
Analyses a mathematical or real-life situation, systematically applying problem-solving strategies
Communicating (WMS5.1.3)
Uses mathematical terminology and notation, algebraic symbols, diagrams, text and tables to explain mathematical ideas
Reasoning (WMS5.1.4)
Explains and verifies mathematical relationships
Criteria for assessing learning:
(These criteria would normally be communicated to students with the activity.)
Students will be assessed on their ability to:
- solve simple probability problems
- communicate mathematical ideas
- justify statements involving probability
Possible prompts to assist student engagement
- What are the possible outcomes when a die is tossed?
- What numbers on the die will result in Natasha going first on the computer?
- What is the probability that Natasha goes first?