In this practical task, students make specified 3-dimensional shapes, and then sort them into two groups according to criteria that the student defines.
Students order litre and millilitre capacities from smallest to largest, compare given capacities and explain how they know whether one is larger/smaller or the same.
Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.
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.
Students consider the potential for chemical change when a range of everyday substances are mixed. They use logical reasoning to work out the consequences of four pairs of reactions.