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 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 outreach programme aimed to build upon good practice from the Royal Society of Chemistry's (RSC) project Chemistry for our Future, and to develop new activities which could then be used with the RSC’s Spectroscopy in a Suitcase (SIAS) equipment. It explored appropriate contexts which may appeal to students...

The Nuffield Foundation provide this activity for students to consider the difficulties in using real data, from the Department of Trade and Industry, to identify which sport is the most dangerous to participate in. The data includes the age and gender of patients requiring treatment at a sample of hospitals after...

This resource from the Nuffield Foundation provides simulated information regarding an invoice, phone bill and bank statement. Each document contains several errors and students will have to check the details carefully to establish the correct values. Copies of the invoice, phone bill and bank statement with gaps...

This Core Maths resource enables students to explore various models of the spread of disease. 

The presentation has links to instructions for three activities:

• a practical investigation using a die and counters to model...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how modelling helps decision making by allowing us to see what is likely to happen. The mathematical ideas covered are:
• Modelling cycle
• Binomial...

The Nuffield Foundation provide this resource where students use simulated stature data for men and women in eight countries to draw histograms and look for general results, as manufacturers need to take these into account when they design products. This is mainly intended as an introduction to the normal...

In this activity students begin with a simple introduction to the stock market; calculating new prices for a variety of fictional shares based on daily percentage changes.

The task requires students to calculate simple percentage changes. A spreadsheet is provided for students to record their results which...

This Core Maths task introduces the Stroop Effect. Students are asked to design and conduct an experiment to test the effect.

Stroop Effect: Front Sheet
This teacher guidance gives an overview of the task including prior student knowledge, suggested approaches and possible extensions....

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how, when introducing a new way of doing things, it is useful to model how it is likely to work. When comparing the value of money over a period of years, inflation needs to be taken into...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows how changing the assumptions which a model is based on can change the way it behaves. It is important to compare predictions from a model to what we know happens in real life. This unit...

The Nuffield Foundation provide this resource which enables students to carry out significance tests on proportions and test hypotheses about successful applicants to higher education. The data provided on information sheet A is simulated but similar to real data available on the UCAS website. Information sheet B...