Carrying out Investigations - Progression Points

Dimension

Level

Progression Point

Working mathematically

2.5

• Students identify, investigate and explain the relationships between mathematical ideas and use these to test conjectures.

3.0 Standard

... Students test the truth of mathematical statements and generalisations.
For example, in:

• number (which shapes can be easily used to show fractions)
• computations (whether products will be odd or even, the patterns of remainders from division)
• number patterns (the patterns of ones digits of multiples, terminating or repeating decimals resulting from division)
• shape properties (which shapes have symmetry, which solids can be stacked)
• transformations (the effects of slides, reflections and turns on a shape)
• measurement (the relationship between size and capacity of a container).

3.5

• They plan and carry out an investigation with several components and with a degree of independence, such as making a list of square numbers.

3.75

• They pose and solve problems requiring statistical methods, including comparisons.

4.0 Standard

... Students engage in investigations involving mathematical modelling.

4.25

• They find patterns and relationships by looking at examples and recording the outcomes systematically.

4.5

• They independently plan and carry out an investigation with several components and report the results clearly using mathematical language.

5.25

• Students use technology to assist in understanding relationships, such as exploring behaviour of volume of cylinder as radius changes.

5.75

• They independently plan and carry out an investigation and report the results and supporting mathematical arguments clearly using mathematical language and appropriate visual displays.