The mathematical solution initially explains how to find the maximum and minimum values of f(x) = 5sin x + 2cos x and how to find, in radians to 2 decimal places, the smallest positive values of x at which they occur. f(x) is written in the form Rcos(x + α). Explanation is then given as to how the maximum and...

[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....

Published by LSIS, this report describes research by Worcester College. The aim of the project was to assess the impact of gathering real data on the generation of enthusiasm and engagement of students studying level 3 statistics. A practical activity based on determining the statistical significance of differences...

[b]Using positional vocabulary[/b]: the objective of this activity is for students to practise using positional vocabulary. The suggested activity requires students to hide an object in the classroom, then give directions to other students in order to find the missing object. The resource contains many prompts,...

The mathematical solution explains how to use the identity sin2x + cos2x≡ 1 to form a quadratic equation which can then be solved in a given range. The method of 'splitting the middle term' is used in order to help factorise the resulting quadratic in sin2x. The two resulting equations are then considered...

The main aim of the study was to:

*engage students and enhance their learning in mathematics through cross-curricular work with other STEM subjects, using video as a tool to encourage students to:
- reflect on...

Produced by the Learning and Skills Improvement Service (LSIS), this case study looks at the theme of harnessing technology. By Birmingham Metropolitan College, the study describes how an e-learning mentor produced a series of video clips relating to the mathematics curriculum. These were made available to view on...

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...

This booklet is designed to give some practical help to teachers who are preparing work on Using and Applying Mathematics.

This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.

This unit from the Continuing Mathematics Project goes into detail on how logarithms can be used to determine the laws which connect two variables on which experimental data has been collected. The unit follows naturally from the unit entitled The Theory of Logarithms.

The objectives of the unit are that...

A group of enthusiastic mathematics and science teachers with an interest in raising student achievement and making the link between the STEM subjects spent several months working as a STEM Knowledge Network and were able to commit time to evaluating the benefits 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...