NZC Level 1
S1-3 Investigate situations that involve elements of chance, acknowledging and anticipating possible outcomes.
NZC Level 2
S2-3 Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty.
NZC Level 3
S3-3 Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.
NZC Level 4
S4-3 Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence.
S4-4 Use simple fractions and percentages to describe probabilities.
NZC Level 5
S5-3 Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance.
S5-4 Calculate probabilities, using fractions, percentages, and ratios.
NZC Level 6
S6-3 Investigate situations that involve elements of chance:
- comparing discrete theoretical distributions and experimental distributions, appreciating the role of sample size
- calculating probabilities in discrete situations.
NZC Level 7
S7-4 Investigate situations that involve elements of chance:
- comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions
- calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.
NZC Level 8
S8-4 Investigate situations that involve elements of chance:
- calculating probabilities of independent, combined, and conditional events
- calculating and interpreting expected values and standard deviations of discrete random variables
- applying distributions such as the Poisson, binomial, and normal.