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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 3, 4 and 5.


The task used in this illustration was one of several used by a teacher as part of a unit on multiplication and division. The teacher gathered samples of students’ work as evidence of their ability to apply multiplicative strategies in a variety of contexts.

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

The Task

Counting Sheep

(Adapted from Building Graphs: Figure It Out, Algebra, Levels 2–3, page 10)

1 sheep has 4 legs:

  • How many legs do 4 sheep have altogether?
  • If there were 44 legs, how many sheep would there be?

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

Counting Sheep: Illustrating the year 3 standard
Counting Sheep: Illustrating the year 4 standard

Counting Sheep: Illustrating the year 5 standard

PDF of this task and Illustrations of the year 3, 4 and 5 standards (1.33MB)