MEI provides these online resources for OCR FP1 for the modulus-argument form of complex numbers.

Detailed notes and examples, with crucial points to learn for the modulus-argument of complex numbers and its application for sets of points, as well as trigonometry knowledge required for this topic are...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the mechanical and civil engineering industry. Here students learn how calculations for displacement, velocity and acceleration, caused during loading, are used to ensure that they are not so large as to adversely...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing and developing engines. As well as considering the power requirements for a given application, the vibration of the system should be considered. The engine installation in a machine must ensure that the...

This Nuffield Working with Science unit aimed to help students to analyse many facets of a local manufacturing industry. Students were expected to plan visits in detail, and well in advance. One of the aims was to give students practice in meeting and working with a...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of sports technology to compare the potential for injury to the knee or ankle when cycling and when jogging. Students model a situation involving oscillations, looking at inertial forces, Newton’s Laws...

Impulsive, socially anxious, uncompromising - these are some of the characteristics you may recognise in the teenagers you know. Scientists at the University of Oxford are researching into changes that take place in the teenage brain that may explain this change in...

This animation shows the major stages of subcloning. This is the process of breaking up fragments of DNA from BAC clones into smaller more manageable pieces for DNA sequencing. This process was very important during the Human Genome Project. Subcloning involves several standard molecular biology techniques...

The Nuffield Foundation provide this resource which enables students to carry out significance tests on proportions and test hypotheses about successful applicants to higher education. The data provided on information sheet A is simulated but similar to real data available on the UCAS website. Information sheet B...

From Science & Plants for Schools (SAPS), this practical activity was developed for Scottish Highers specifications, but the protocol can equally well be used for other specifications.

Students sterilise seeds of...

This resource was produced to get students working in teams and understanding the scientific and industrial processes involved in sugar making. The resource consists of 23 cards detailing each step of the sugar making process, which students are asked to arrange in the correct order to go from harvesting the sugar...

The aim of this investigation is observing the capillary rise of water in capillary tubes and extending this to determine the surface tension of water.  This will test students measuring skills and get them to discuss errors in measurements too.

This Nuffield Working with Science unit used the study of survival techniques to give students opportunities to collect evidence, advance hypotheses, and design experiments. Students were encouraged to investigate situations in which people can be faced with unexpected...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing highway machinery. Because a driver has to remain in the same machine for almost eight hours each day, the vibration amplitudes of the operator’s seat, which should be kept as low as possible, are a key...

To play a simple game called Hexapawn, an ‘artificially intelligent’ computer is created made entirely from sweets. The game is like a mini version of chess; the rules are explained fully, and a playing board drawn. The ‘machine’ then ‘learns’ how to improve its playing of the game by trial and error and by ‘...