Illustrating the Mathematics Standards

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

Sorting Sports Balls: Illustrating the year 3 standard

The following examples of student work illustrate achievement at the mathematics standard for year 3.

The task used in this illustration was part of a regular Number lesson in a year 2 class. The task relates to achievement objectives for Number and Algebra from the mathematics and statistics learning area in The New Zealand Curriculum.

The Task

Sorting Sports Balls

Make counters and “bags” available for students who may need or want to use them.

There are 12 balls to go into 3 bags.
Each bag should have the same number of balls.
How many balls should you put into each bag?

Some features of students’ work used to make judgments in relation to the year 3 mathematics standard are described below.  There is also an illustration of the year 2 standard for this task. 

New Zealand Curriculum: Level 2 National Standards: After three years at school
In solving problems and modelling situations, students will:
Number and Algebra
  • use simple additive strategies with whole numbers and fractions (number strategies)
  • know the basic addition and subtraction facts (number knowledge)
Number and Algebra
  • apply basic addition facts and knowledge of place value and symmetry to:
    - combine of partition whole numbers
    - find fractions of sets,
    shapes, and quantities

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Breakdown of Waste, Year 5

PDF of this task and Illustrations of the year 2 and 3 standards (1.02MB)