Number Stairs

This Subtangent investigation looks at the total of the squares inside a stair shape.

Initially students investigate the relationship of the totals of a three step stair and its position on a 10 by 10 grid.

The mathematics of aircraft navigation

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the aeronautical industry. Students are given a scenario which involves the recovery of stranded mountaineers by a rescue helicopter and the considerations required for a successful outcome. Trigonometry, formula...

Steam Pipe Insulation

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of mechanical engineering. Here students learn that lack of proper insulation results in large energy losses which, over time, cost a lot of money. Models are used to calculate the value of the critical...

Underground Storage Tank

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when building an underground storage tank, with an elliptical cross section. Health and safety requirements apply and the depth to which the tank must be buried is established using the 2D geometry of an ellipse,...

The Mathematics of Escalators on the London Underground

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics for the operation of escalators on the London underground. Students consider a variety of issues which include passenger numbers and flow, as well as carbon emissions, escalator speed and energy efficiency. Detailed...

Calculating Power of JCB Dieselmax Engines

This resource from Mathematics for Engineering Exemplars shows the application of mathematics in mechanical engineering and construction machinery. Here students encounter the formulae used to calculate the power of the engine which was used to power the JCB Dieselmax LSR car to a world land speed record of 350mph...

Study of Vibrations in JCB Dieselmax Engines

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...

The Study of Engineers' Data 1

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when investigating the volume of registration of engineers. Statistical calculations and graphical representations are used to explore the variations, over time, of membership by area of expertise. Detailed notes and...

The Study of Root Mean Square (RMS) Value

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within mechanical, electrical and electronics engineering. One of the principal applications of Root Mean Square values is with alternating currents and voltages. This activity demonstrates the calculations required to...

Study of the Motion of Knee and Ankle during Cycling

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...