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.
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.
Students find the number of groups of a given size using division, reverse multiplication, trial and improvement, or iterative equal sharing. Students must show their working.
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 interpret a graph of the Hare's Progress to answer questions about rate, rest, and reading sections of the graph. They also identify the constant motion of the tortoise and explain the result of the race.
Students interpret 2 line graphs to write five statements comparing the relationship between times, distances and speeds for Jack and Ellie in a 10 kilometre running race.
Students complete a table to show a fitness plan pattern, finish a equation to describe the relationship, and answer questions to demonstrate their understanding of the pattern.