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 resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students with the opportunity to explore the mathematics behind bicycle speedometers, including circle properties and compound measures.

"Bicycle speedometers can only provide accurate...

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...

On the left, a rectangle is given and the challenge is to construct a square to the right of it that has an equal area and sharing a common vertex with the rectangle. The construction must be...

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 is one of a series of resources from the IET designed around the theme of the future of flight with the purpose of developing pupils knowledge and skills in design technology, engineering and mathematics. When spacecraft and jet aircraft land...

A straight line is shown with the x and y axis intercepts shown. A point P is marked on the line but the coordinates are not given. P is then joined back to the origin, splitting the triangle into two parts. The challenge is to find the area of...

In this resource students are challenged to determine the equation of the line that goes through a given coordinate point and is also tangential to a circle centred on the origin. The final step is to determine the radius of the circle.

The solution involves determining the gradient of the tangent and also...

This activity enables students to consolidate their knowledge of the properties of two dimensional shapes by working with a variety of stained glass designs. The activity is based on a real life context and designed to aid class discussion about 2D shapes and symmetry. The images in the slideshow can be used to...