In this practical task, students construct pyramid patterns using triangles. They then predict how many triangles would be needed for the next size pyramid and explain their rule.
Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.
Students draw in the next two shapes in a spatial pattern, complete a table and rules about the pattern, then calculate the number of triangles in the 8th shape.
For this practical students make observations on water flow from three holes set at different heights in a container. They also investigate the effect on water flow if the top is on or off the container.