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.
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