## 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.