The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.

Each example is derived from a pair of perpendicular lines....

This set of activities introduces children to cryptography techniques, showing how the use of computers can make encryption quicker and more effective. Some notable examples of the use of encryption in history are mentioned, leading to the use of calculation machines for code-making and code-breaking.

A...

In this activity, students synthesise prior learning about structure and bonding, and about enzymes, and apply it to a new context: X-ray crystallography. The main part of the activity involves students pitching for funding for new equipment – how will they use the...

The graph of a cubic function with three real roots is drawn. A circle is then drawn so that the circumference of the circle passes through two adjacent roots. A tangent to...

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

This resource, from the Royal Institution, provides students with the opportunity to explore the formation of a parabola through a paper folding activity. Students follow a set of simple instructions which describe how to fold a piece of A4 paper and are asked to describe what shape is produced. The activity is...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation introduces the Reuleaux Triangle and shows how to construct a curve which has a constant width, as well as Barbier's Theorem and the Isoperimetric Inequality. Three dimensional shapes are also investigated...

Carom Maths provides this resource for teachers and students of A Level mathematics.

Cyclotomic polynomials are explained in this presentation, which uses a regular polygon to illustrate the complex roots of unity and establish which of those are primitive, before demonstrating some intriguing algebra.

There are two parts to the DIY Dendrometer resources: 

Part A focusses on how trees grow and their role within both the carbon cycle and the water cycle. Learners are encouraged to take part in a citizen science project which involves creating and installing a DIY...

Activities in this resource aim to:

• celebrate the achievement of completing the Human Genome project in 2003
• show the relevance of genome sequencing today
• explain the methods used for DNA sequencing, including the illumina method of rapid sequencing and the shotgun sequencing
...

This book and accompanying teacher guide focus on the story of a young girl and her passion for saving water. The story follows the journey of an ordinary schoolgirl in the UK, who transforms into a water superhero when a DRY summer is followed by a DRY winter. The teacher guide provides eight linked activities...

This activity, from the Institution of Engineering and Technology (IET), gives students the opportunity to develop their understanding of graphs in an engineering context. Students learn about dance floors that generate electricity and consider how output is linked to...

Produced by ARKive this presentation introduces Charles Darwin as a naturalist. It tells the story of his life, describes how he was influenced and encouraged by the learning of his friends and contemporaries; and describes the voyage of the Beagle from 1831-36. The presentation illustrates Darwin's skills of...

In this activity from ARKive, students look for similarities between the basic body plans of different vertebrates as evidence of evolutionary change. This customisable presentation builds the scientific explanation of natural selection by illustrating four key observations:

• All organisms produce more...