In this STEM activity pupils will have the opportunity to measure the circumference of a tree trunk and use this information and number skills to work out the age of the tree in years. They will then repeat this for other trees and present and discuss their results as a class. This activity supports the teaching of...

This resource contains three instant maths ideas requiring students to solve a quadratic equation, discuss what is meant by a degree of accuracy and explore discontinuous curves. The resource materials include an explanation of Cardano’s method of solving a cubic of the form x³ +mx =n and using the...

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

A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed...

This resource, from the Association of Teachers of Mathematics (ATM) publication ‘We Can Work It Out’...

A triangle is split into two parts by drawing a line from one side to the base of the triangle. The ratio in which the sides are split is shown for each of the sides connected by the line. The task is to find what multiple of the smaller triangle is the larger triangle.

The ‘something in common’ between each...

In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.

Each student worksheet contains a different triangle, but the answers all have something in common.

The solution involves...

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This activity is based upon a practical task to fit a set of similar triangles into a spiral. It is in two parts, the first of which is more accessible.

In Part 1 students are presented with a series of different sized similar triangles. These fit together to form a spiral and students look at how many are...

This task considers using metal rods to make a triangular framework. The metal rods have lengths that are whole numbers. Students must work out how many triangular frameworks can be made with the longest side being 7 metres. The solution involves being methodical in listing examples, and using inequalities to...

Produced by the Spode Group as part of the A-level mathematics support series, this booklet aims to show the practical importance of trigonometric functions. The booklet contains five case studies.

Cylindrical oil container covers applications of sine, cosine and tangent

Pipes...

This resource contains two interactive excel files dealing with the graphs of trigonometric functions.

Trigonometry: X=cos, Y=sin...

Royal Navy Search and Rescue helicopters provide cover to large sections of the UK coastline, offering support to coastguard services 365 days a year.

These materials from Defence Dynamics encourage the use of problem solving skills and knowledge of trigonometry to directly assist the Royal Navy in a series...

The objectives of this PowerPoint are for students to:

• understand what is meant by: circular functions; quadrants; positive angles; negative angles.
• recall the main characteristics of the graphs of y = sin x, y = cos x and y = tan x.
• consider the main trigonometric ratios in all 4...

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...

This resource contains twelve problems requiring students to explore the properties of the functions of sine, cosine and tangent. Students explain which is the odd one out, state which functions can be represented by which graph, devise questions which give a certain set of solutions and state whether statements...