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Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8

The following examples of student work illustrate achievement at the mathematics standards for years 5, 6 and 8.


The task used in this illustration was adapted from an activity in Figure It Out, Statistics (Revised Edition), Level 3. The teacher gave the task to her year 5–7 students after a discussion about the “fairness” of games that they were designing for the school gala.

The task relates to achievement objectives for Number and Statistics from the mathematics and statistics learning area in The New Zealand Curriculum.

The Task

Dicey Differences

  1. Before you play, write down whether you think the game is fair or not and give your reasons.
  2. In pairs, take turns to throw two dice and record the difference. Use your data set to investigate outcomes that are possible and whether the game is fair.

Some features of students’ work used to make judgments in relation to the mathematics standards are described below.

Dicey Differences: Illustrating the year 5 standard
Dicey Differences: Illustrating the year 6 standard
Dicey Differences: Illustrating the year 8 standard

PDF of this task and Illustrations of the year 5, 6 and 8 standards (1.58MB)