Thinking Questions

This resource from Susan Wall contains a number of open–ended questions which explore understanding and allow a variety of approaches.

Each question is easily accessible but can be extended to make a more complex problem. Students are required to justify their answer and, where possible, generalise their answer. Students require problem solving skills and reasoning skills to tackle the problems; trial and error alone will not be sufficient.

Equations of lines: three problems exploring equations of linear functions.

Quadratics: four problems exploring equations of quadratic functions.

Circles: five problems exploring equations of circles.

Equations: two problems exploring equations and roots of equations.

Series: three problems exploring series, arithmetic series and geometric series.

Trigonometric functions: one problem exploring translations of sine and cosine graphs.

Integration: one problem exploring integration between limits.