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...

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...

These Cre8ate maths activities demand logical and multi-stage thinking. This topic also supports the development of personal, learning and thinking skills.

This resource includes two lessons on sorting algorithms along with a piece of software to allow students to investigate how these algorithms function. The software itself is a simple game where students perform a given sorting algorithm on a set of data, and lose lives if they perform an incorrect step. The lesson...

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 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...

This resource from Physicists in Primary Schools (PIPS) supports the teaching of sound ...

This booklet is part of the ‘Innovations in Practical Work’ series published by the Gatsby Science Enhancement Programme (SEP). Sound is an important part of our lives. Many people enjoy listening to music, and watching television would not be the same without sound. On...

From the Institute of Physics, this resource provides extensive teacher guidance and suggested classroom activities to support the teaching of:

* Describing sound
* Quantifying and using sound

Each topic is explored from the following perspectives:

• The physics narrative explains the...

A Year 11 module from the Salters’ Key Stage Four double award science course. The science content of this module covers electromagnetism, the inductive effect and the motor effect. These topics are developed in the context of recording and reproducing sound. Students begin by recording and playing back their own...