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 patter. This is classified as Patterns and Relationships.
In this task students continue a triangular pattern with sticks to explore the rule used in the pattern. Students then use their understanding of the pattern rule to continue the pattern without the sticks.
Students use matchsticks to continue a triangular spatial pattern and write a rule to describe the number needed for each pattern. They then complete a table and a rule to show the relationship between the number of triangles and the number of matchsticks.