In this resource students are asked to find the value of several calculations that involve addition, subtraction and the squaring of fractions. Students are asked to spot patterns and similarities within the questions in order to generalise. The investigation concludes bu using algebra to prove their conjectures....

This lesson develops the concept of adding and subtracting directed numbers. The activities address common misconceptions about the addition and subtraction of directed numbers. Students explain their reasoning using diagrams.

The activities use the ‘charge’ model of directed numbers. For example, a diagram...

This activity, from the Institution of Engineering and Technology (IET), looks at how the boomerang works from design and scientific principles. Students explore how aerodynamic forces affect the flight of objects, relate the design features of the boomerang to its path...

In this activity, from the Institution of Engineering and Technology (IET), students explore the basic principles of aerodynamics by looking at familiar products that have been designed with speed in mind and identifying features common to these products....

This More Maths Grads resource, from the Maths Careers website, investigates the maths used in transport and is based on the travelling salesman problem.

Students are given a table containing information on the cost of air travel between nine different cities and asked to plan a route that visits each...

This activity, from the Institution of Engineering and Technology (IET), introduces students to the differences between analogue and digital communication. An analogue signal can be rendered useless by small amounts of interference, whereas a digital signal remains...

This is a concept development lesson that is designed to help students to:

• Overcome common misconceptions about probability
• Count equally likely outcomes using diagrams
• Discuss relationships between theoretical probabilities, observed outcomes and sample sizes

...

This investigation covers two circles theorems through one demonstration. The theorems are:

• That the angles on the same arc forming a chord are equal

• That the angle at the centre is twice the angle at the arc when drawn from the same chord

The initial...

This lesson develops the concept of using the properties of exponents. In particular students will:

• Recall and use the properties of exponents to generate equivalent numeric expressions.
• Identify the appropriate property to use and apply it correctly.
• Check the numerical value of an...

In this activity, students use the speed, distance, time equation to calculate how long it takes to travel to destinations around the globe from the UK via today's global transport options. They are then introduced to a new concept to global travel: the vacuum tube...

This activity introduces the idea of remote sensing and some of the difficulties of obtaining images from orbit by asking students to match photographs taken from the ground with early astronaut photographs.

This resource uses the context of the INEOS TEAM UK America's cup base in Portsmouth for students to explore the factors surrounding, using and installing solar panels on the roof of the building.  It includes the modeling required to maximise the roof area that can be used for solar panels and the data anlysis...

This resource requires students to be able to use a calculator efficiently and accurately and to be able to round their answer to two decimal places or to know how to set up their calculator to give answers to two decimal places. The cards file contains nine pages of bingo answer cards with four cards on each page...

This practical activity from the Royal Institution provides students with an understanding of the different ways in which proportion can be expressed. Through a mixture of explanation and practical work, students explore how it is possible to give an accurate quantitative description of colours. Students mix...

Act 1

A picture is shown of a circle filled with toy cars. How many cars are shown in the picture?

Act 2

Further information is given about the dimension of the circle. Another picture shows a model car placed at the side of a penny. A final piece of information gives the price of a toy car. ...