In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

This study, from the Nuffield Foundation, is a follow-up to the report 'Is the UK an outlier?', which examined mathematics education provision in 24 different countries and revealed that England, Wales and Northern Ireland have the lowest levels of participation in upper secondary mathematics. They were the only...

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...

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 RISP activity gives students four properties - one side is 3cm, one angle is 90 degrees, one side is 4cm and one angle is thirty degrees. Students are required to find as many triangles as they can which contain any three of these four properties. Once the triangles have been found, students are asked to find...

The first of two RISP activities, Radians and Degrees, students are set the task of finding an angle whose sine value is the same whether measured in radians or degrees....

Tunnelworks is a series of teaching and learning resources linking mathematics and science to the Thames Tideway Tunnel project, a major new sewer that will help protect the River Thames from increasing pollution. Background to the project is given in the...

This Core Maths task consists of a presentation that explains and reviews the distinctions between different types of data. It explains the difference between the following categories of data:

• qualitative and quantitative
• discrete and continuous
• primary and secondary

The...

This RISP, Almost Identical, is an activity designed to consolidate work on hyperbolics, exponentials...

This resource, provided by Mathematics in Education and Industry, offers an overview of pre-university qualifications and describes major developments in mathematics.

Since there are a considerable number of pre-higher education qualifications in mathematics available in the United Kingdom, it is not always...

In this resource from the DfE Standards Unit, students calculate binomial probabilities and cumulative binomial probabilities. They develop their understanding of the context in which it is appropriate to use binomial probabilities, the symmetrical nature of the formula for a binomial probability and alternative...

[b]Functions and their derivatives:[/b] the objective of this activity is to develop skills in working with functions, their derivatives and function notation. The suggested activity begins by asking students to explain what is meant by f'(3) and what is the difference between f(2) and f'(2). There follows a...

In this resource from the DfE Standards Unit students are introduced to fractional and negative indices to enable them to evaluate numerical expressions using negative and fractional
indices and use the rules of indices with integer and fractional powers of variables. Students should have some knowledge of...

[b]Modulus graphs:[/b] the objectives of this activity are to understand the concepts and notation of modulus graphs and to expose common misconceptions in the interpretation of modulus notation. The suggested activity asks groups of students to match function cards with graphs and to explain their thinking....