Illustrating the Mathematics Standards

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

Multiple Measures: Illustrating the year 4 standard

The following examples of student work illustrate achievement at the mathematics standards for year 4.

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

The Task

Multiple Measures

Give the students five oblong-shaped blocks of varying sizes (including a cube). They will need a standard 30 centimetre ruler with 1 centimetre markings. Ask them to carry out the following tasks:

  1. Measure the length, width, and height of your blocks.
  2. Choose one of your blocks and imagine that four of them are stacked on top of each other. How high would they be?

    For year 4 and above:
  3. Design a net for one of your blocks (so that if you cut out and fold up the net, it makes the block). On your net, label the lengths of the sides.

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 3 standard and an illustration of the year 5 standard for this task.

New Zealand Curriculum: Level 2 National Standards: By the end of year 4
In solving problems and modelling situations, students will:
Number and Algebra
  • use simple additive strategies with whole numbers and fractions (number strategies)

Geometry and Measurement

  • create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and time
  • partition and/or combine like measures and communicate them, using numbers and units (measurement)
  • identify and describe the plane shapes found in objects (shape)
Number and Algebra
  • apply basic addition and subtraction facts, simple multiplication facts, and knowledge of place value and symmetry to:
    - combine or partition whole numbers
    - find fractions of sets, shapes, and quantities

Geometry and Measurement

  • measure the lengths, areas, volumes or capacities, weights, and temperatures of objects and the duration of events, reading scales to the nearest whole number and applying addition, subtraction, and simple multiplication to standard units
  • create nets for cubes

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PDF of this task and Illustrations of the year 3, 4 and 5 standards (1.22MB)