First Experience with Chance - Progression Points

Dimension

Level

Progression Point

Measurement, chance and data

1.0 Standard

… Students recognise and respond to unpredictability and variability in events, such as getting or not getting a certain number on the roll of a die in a game or the outcome of a coin toss.

1.25

  • Awareness that some events are equally likely to occur; for example, a head or a tail showing when a coin is tossed

1.5

  • Knowledge of the outcomes of chance events such as rolling a die

1.75

  • Ordering of familiar events in terms of their probability between impossible and certain

2.0 Standard

… Students predict the outcome of chance events, such as the rolling of a die, using qualitative terms such as certain, likely, unlikely and impossible.

2.5

  • Identification of events which are equally likely

3.25

  • Use of fractions to assign probability values between 0 and 1 to probabilities based on symmetry; for example

4.0 Standard

… Students describe and calculate probabilities using words, and fractions and decimals between 0 and 1.

They calculate probabilities for chance outcomes (for example, using spinners) and use the symmetry properties of equally likely outcomes.

Number

1.75

  • Identification of half of a set of objects, including recognition of the need for 1/2 when sharing an odd number of objects