In this practical task, students interpret information presented in a strip graph, regroup the data, construct a new strip graph, and answer questions about the data.
The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.
For this practical task students collect time-series data on the change in water temperature in a container at regular time intervals. Students are also required to display their results on an appropriate graph.
Students interpret a histogram showing the number of vehicles travelling at different speeds past a speed camera. Students need to calculate a percentage and the median to complete this task.
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.
Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.
Students use given information to solve a story problem about paper deliveries and identify the correct algebraic equation for the answer. They also write an algebraic equation for a similar story problem.
Students complete the total and mean columns in a table of sunshine hours. They then construct a bar graph and make a statement comparing some of the data.
Students are required to construct a composite bar graph based on Statistics New Zealand Time Use Survey data and are then required to make comparative statements based on gender.