In this task students continue a triangular shape 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.
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.
This practical task requires students to use straws to build up a linear pattern. Students then predict the number of straws needed for successive patterns and explain their rule.