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.
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:
- Measure the length, width, and height of your blocks.
- 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:
- 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.