This short task contains two questions on applying trigonometry.

The topics covered are:

• Linking sine, cosine and tangent
• Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
• Using the Pythagorean identity sin2(x) + cos2(x) = 1...

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

This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...

This activity examines the use of percentages in research and the media. The examples used focus on the distinction between absolute and relative percentages and percentage changes. The need for improved education in the area of communication of risk is at the heart of...

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

There are six ways to write the total edge length, total surface area and volume of a cube, or cuboid, in order of size. This presentation challenges students to find a cube for each order. Autograph files are provided to...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore vectors, beginning with the definition of a vector followed by the algebra of vectors and the scalar product. The opening slides of the presentation explain the difference between scalar and vector...

This resource explores what volcanoes are and some of their key features. Students will learn why volcanoes erupt and the difference between effusive and explosive eruptions as well as understanding the effects magma viscosity can have on lava flows and eruptions by conducting experiments to test the impact of...

The coordinates of the vertices of a tetrahedron is given. The challenge is to work out the volume of the tetrahedron. This involves calculating the area of the base,...

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

Wallpaper patterns all have one thing in common; they are all produced by repeating a single fundamental tile by translation, that one basic rule gives rise to a range of possible patterns, each with their distinctive...

This resource pack can be used to highlight issues such as global water scarcity, the challenges people face when sourcing water and maintaining a water supply in developing countries and the role of the engineers in solving these problems.

Following a quick quiz, a presentation introduces the scale of local...

In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.

The first step towards solving the problem...

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

This presentation provides students with an opportunity to explore their own grasp of logic and introduces a logical tautology called Modus Tollens.

This activity is designed to explore aspects of the subject which...

These evidence-based, question and answer style classroom resources can be used to engage students of all ages...

These evidence-based, question and answer style classroom resources can be used to engage students in the climate...

In this resource a presentation and linked activities provide design and technology teachers with opportunities to highlight the different values and beliefs that designers may hold. Students can engage in exploring their own values about the responsibilities of designers and companies too. The presentation ...