Illustrating the Mathematics Standards

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

Dicey Differences: Illustrating the year 5 standard

The following examples of student work illustrate achievement at the mathematics standards for year 5.
 

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. There is also an illustration of the year 6 standard and an illustration of the year 8 standard for this task.

New Zealand Curriculum: Level 3 National Standards: By the end of year 5
In solving problems and modelling situations, students will:
Number and Algebra
  • use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals and percentages (number strategies)
Number and Algebra
  • apply additive and simple multiplicative strategies and knowledge of symmetry to:
    - combine or partition whole numbers
    - find fractions of
    sets, shapes,and quantities
Statistics
  • investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all outcomes, acknowledging that samples vary (probability)
Statistics
  • order the likelihoods of outcomes for simple situations involving chance, experimenting or listing all possible outcomes

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