Using a diagram of an open tube an explanation of possible wave patterns is built up.  Firstly, the fundamental mode of vibration is drawn, followed by the second and third harmonics.  For each illustration the number of waves is calculated, i.e, ^λ/₄, ³/₄ λ and ^5...

This video explains how nodes and anti-nodes are formed in standing (stationary) waves.  It shows how the distance between two nodes = ^λ/₂.  A series of standing waves are drawn to show the fundamental wave and its harmonics.  The number of half wavelengths for the fundamental and second,...

Produced by the Royal Observatory Greenwich, this booklet introduces the sidereal day and shows how star trials can be used to calculate the length of one sidereal day. Included in the booklet are instructions on how to create a star trial photograph using a DSLR or bridge camera. Supporting documents that help the...

From the National Non-Food Crops Centre, this factsheet looks at the production and industrial use of starch and modified starches. These have a broad range of uses in the food and non-food sectors. Starch can be either used in its native (unmodified) form or, if specific properties are required, it can be...

NASA has been responsible for some fantastic images of space, especially from the Hubble Space Telescope. These are a few of the images of stars, nebulae and galaxies. More images are available from the  NASA website

This resource explores the types and number of animals used in research. The activity is best conducted with a whole class or as group work. The resource includes a lesson plan for the teacher. The resource was produced by Nuffield Council on Bioethics.

In this activity, students are required to question the assumptions they may make when presented with visual images of animal research. They need to consider an image carefully before they come to any conclusions about what is happening to the animal. The activity is best conducted in groups.The resource, from the...

This set of learning activities supports learners to:

•Become more aware of how mathematics can contribute to successful completion of vocational tasks.

•Reflect on their personal mathematical learning experiences and identify some engaging starting points for their future learning.

•Become...

A Catalyst article looking at strategies for ensuring that there is a plentiful food supply in the future and how this can be sustained.

The article looks at three main areas for scientific investigation:

*Fertilisation

*Pest control

*Genetic modification

It also looks at...

This series of interactive excel sheets look systems in static equilibrium.

The first sheet looks at two forces acting on a point. A new question can be generated by clicking “new diagram” in which the angle and value...

This resource is part of a collection of Nuffield Maths resources exploring Calculus. The demand is roughly equivalent to that in GCE A level.

This stationary points activity shows students how to use differentiation to find stationary points on the curves of polynomial functions. It includes the use of the...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how modelling helps decision making by allowing us to see what is likely to happen. The mathematical ideas covered are:
• Modelling cycle
• Binomial...

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, looks at how biometric identification systems rely on mathematical methods to convert images into data that can be digitally stored. It is essential that the biometric systems we depend on for national security can reliably...

The emphasis in this Nuffield Advanced Mathematics option was on non-parametric methods to help students to gain a good understanding of statistical processes. Students required access to a computer with a professional statistics package to gain the full benefit from this option.

Contents ...

This collection of resources is produced by the Core Maths Support Programme to support the implementation of Core Maths. The collection contains a range of activities all designed to enable students to use and apply statistics in unfamiliar contexts.