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....

The initial task involves using factors of 12 and -12 to set up two points. Compasses are used to draw a circle that has the two points as its diameter. An interesting feature of the resulting...

The initial investigation uses an inductive formula and two initial values to derive a sequence that results in a series of fractions before returning to the initial two values of the sequence. A spreadsheet is provided that performs the calculations given in the inductive formula. This is helpful for both checking...

There is an initial investigation of geometric progressions where the interval between the first and second, and the third and fourth terms are given, with the challenge of discovering two possible values for the first term and associated common ratio. There are ten examples to work on to enable collaboration...

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 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 engineering and mathematics. This activity focuses on developing the...

In this teacher presentation and collection of student worksheets a pair of simultaneous equations is given, one of which is non-linear. A second pair of similar simultaneous equations is given; that has the same solutions. Students are challenged to explain why.

Each student worksheet contains different...

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 resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, provides students the opportunity to explore information generated from a motor race....

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

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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...

A segment of a circle is created using a chord parallel to the x-axis. The resulting segment of the circle is then revolved 360° about the x-axis. The problem is to calculate the volume of the resulting annulus.

To find a general solution to the problem involves using an elemental disc ring and integrating...