Probability skills
Year 3
Skills
- Level 1: Identify the likelihood of events
- Level 2: Identify the likelihood of events
- Use probability language
- Compare the likelihood of events
- Fair and equally likely experiments
- Count outcomes in simple experiments
Year 4
Skills
- Level 1: Identify the likelihood of events
- Level 2: Identify the likelihood of events
- Probabilities as fractions, decimals and percentages
- Chance experiments
- Chance in everyday contexts
- Compare probabilities
Year 5
Tests
Skills
- Level 1: Identify the likelihood of events
- Level 2: Identify the likelihood of events
- Chance language
- Simple probability
- Experimental probability
- Sample space
Year 6
Tests
Skills
- Level 1: Identify the probability of events
- Level 2: Identify the probability of events
- Probability of simple events
- Probability language
- Theoretical probability
- Experimental probability
- Compound events
Year 7
Tests
Skills
- Probability of simple events
- Probability from pie charts
- Probability language and complements
- Theoretical probability
- Experimental probability
- Two-step chance experiments
Year 8
Skills
- Probability of simple events
- Probability of this or that
- Level 1: Probabilities in two-step experiments
- Level 2: Probabilities in two-step experiments
- Probability from two-way tables
- Probability concepts and terminology
Year 9
Tests
Skills
- Probability of simple events
- Probability of compound events
- Level 1: Probabilities in two-step experiments
- Level 2: Probabilities in two-step experiments
Challenge Winning the tic-tac-toe- Probability from two-way tables
- Probability from a Venn diagram
- Converting between a Venn diagram and a two-way table
- Two-step experiments with replacement
- Two-step experiments without replacement
Year 10
Skills
- Probability of simple events
- Probability of compound events
- Challenge Winning the tic-tac-toe
- Sample spaces and event language
- Probability from two-way tables
- Conditional probability and independence
- Conditional probability from a two-way table
- Conditional probability from given probabilities
- Testing independence with the multiplication rule
- Probability of independent events combined
- Conditional probability and independence: concepts
Year 11
Tests
Skills
- Sample spaces, events and outcomes
- Probability of simple events
- Estimating probabilities from data
- Level 1: Probability of simple and compound events
- Level 2: Probability of simple and compound events
- Probabilities from Venn diagrams
- The addition rule for probabilities
- Conditional probability
- Discrete probability distributions
- Conditions for a binomial distribution
- Binomial distribution probabilities
- Mean and variance of a binomial distribution
- Standard scores - z-scores
- The 68-95-99.7 empirical rule and normal graph features
- Normal distribution probabilities and quantiles
- Challenge Winning the tic-tac-toe
Year 12
Tests
Skills
- Conditional probability
- Identify discrete probability distributions
- Calculate probabilities given a discrete probability distribution
- Level 1: Probabilities from polynomial probability density functions
- Level 1: Probabilities from exponential probability density functions
- Level 1: Statistics from polynomial probability density functions
- Level 1: Statistics from exponential probability density functions
- Challenge Winning the tic-tac-toe
- Level 1: Conditional probability
- Level 1: Discrete random variables
- Level 1: Multi-stage probability experiments
- Level 2: Multi-stage probability experiments
- Linear transformation of mean and standard deviation
- Bernoulli distribution - mean and variance
- Bernoulli distribution - modelling practical problems
- Conditions for a binomial distribution
- Binomial distribution probabilities
- Mean and variance of a binomial distribution
- Normal distribution - qualitative graph features
- Normal distribution - probabilities and quantiles
- Contexts suitable for a normal model