Further Thinking Questions

This collection from Susan Wall, is a more comprehensive version of the resource 'Thinking Questions'. Each resource 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.

Topics covered are: Indices and surds, sequences, logarithms, algebra, straight line graphs, quadratics, polynomials, circles, Trigonometrical functions and differentiation and integration.



Showing 10 result(s)

Trigonometrical Functions

This resource contains twelve problems requiring students to explore the properties of the functions of sine, cosine and tangent. Students explain which is the odd one out, state which functions can be represented by which graph, devise questions which give a certain set of solutions and state whether statements...

Differentiation and Integration

This resource contains eleven problems requiring students to explore where turning points occur, match statements about functions to statements about derivative functions and gradients of graphs at specific points on the curve, explore the tangent and normal to a curve, suggest a possible graph given information...