Students draw the next two triangles in a spatial pattern, calculate the areas of a range of triangles, work out the height of a triangle given its area, and write a rule for the pattern.
A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.
Students calculate the lengths of circles and straight lines on an oval athletics track from its given radius and total length, and show their working.
Students compare drawings of a healthy and unhealthy plant and decide which quantitative and/or qualitative data distinguishes them. They draw conclusions from the data. This is a mathematics/science resource.
Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights.
The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.