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 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 use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.
Students use linear equations to solve mathematical problems for money deposited and withdrawn from a bank account. They also identify parts of the related linear equation.