This resource develops the concept of solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring.

The resource is set in the practical context of a bus cutting a corner that has a cycle lane. When a bus turns a corner, it must swing out so that its...

This resource, written by Emma Morris, outlines the core choices facing mathematics education and builds on the recommendations of the 2011 Vorderman Report, by examining which mathematics approaches and reforms have worked overseas. The paper does not recommend directly importing practice from either of the case...

This booklet collects together ideas suitable for use with secondary school aged students. The activities are designed to encourage students to use their calculators efficiently and positively to help develop mathematical thinking and understanding. [b]Finding your way about a calculator[/b] is a guide to the main...

This book from the Schools Council addresses the topic of functions. The contents of the book are intended primarily for teachers, for whom, it was believed, it would provide a valuable background which would deepen their understanding of mathematics and give them insight into mathematical thinking. Teachers will...

The ‘Something in Common’ collection from John Burke contains problems that enable students to hone their skills of both problem solving and proof. ...

This sub-collection of resources from the ‘Something in Common’ collection contains three resources designed to bring a problem solving approach to the teaching of algebra in Key Stages 3 and 4...

This sub-collection of resources from the ‘Something in Common’ collection contains two resources designed to bring a problem solving approach to the teaching of data handling in Key Stages 3...

This sub-collection of resources from the ‘Something in Common’ collection contains 22 resources designed to bring a problem solving approach to the teaching of geometry at Key Stages 3 and 4. Each resource has an introductory presentation, printed materials, and additionally many have supporting files in either...

This sub-collection of resources from the ‘Something in Common’ collection contains three resources designed to bring a problem solving approach to the teaching of number in Key Stage 3. Each...

Three activities produced by Susan Wall are designed to provide the opportunity for students to explore the concepts involved and to highlight any misconceptions by discussing whether the statements presented can sometimes be true, are always true or can never be true.

Algebra: students are...

This resource looks at the concept of recognising the differences between equations and identities. Students substitute numbers into algebraic statements in order to test their validity. Common errors are highlighted that can occur when manipulating expressions.

Students work on an exercise that involves...

This lesson develops the concept of using Pythagoras’ theorem to derive the equation of a circle and translating between the geometric features of circles and their equations.

The initial activity involves looking at a circle with end points of the diameter at (6, 0) and (–6, 0). Questions relate to...

This lesson develops the concept of using the equation of a circle. In particular students develop their knowledge of how to:

• Translate between the equations of circles and their geometric features
• Sketch a circle from its equation

In the introductory activity a circle has been...

This resource features a short task on different representations of functions.

Students are presented with a matching exercise in which they must link together equations, tables of values, worded statements, and graphs for both linear and quadratic functions.

This task is from the Mathematics...

This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore the properties of quadrilaterals using flow charts.

"Flow charts show the order in which a series of events is to be carried out. They are used...