Three advanced level lesson ideas from Susan Wall designed to explore the properties of circles and their equations. Each activity is accompanied by teacher notes suggesting how the activity could be delivered and possible extension ideas. The first activity requires students to match the equations of circles to...

This resource contains eight problems requiring students to explore the equations of a variety of circles. Many of the problems are open-ended in so much as there is not a specific answer. These problems present the opportunity for rich discussion as students attempt to justify their solution. Students are required...

This excel program contains a series of interactive spreadsheets related to the equation of the circle. The first sheets enable the student to alter the radius and centre of the circles centred at the origin and elsewhere. The program allows the student to view the...

In this resource students are required to use moving averages to investigate evidence for trends in local temperature change. There are links to the very real political and scientific debates regarding the question of climate change.

Climate Change Overview This brief overview makes...

This toolkit from Plus magazine and Arctic Survey Education looks at models of climate change and sea ice growth.

The toolkit can be downloaded as a whole or as the individual components, which are:
• Arctic supermodels - background article
• Modelling ice thickness - worksheet and worksheet...

The Nuffield Foundation provides this activity which students use to create spreadsheets that model what would happen to the temperature of the Earth if there were to be a sudden change in the amount of radiation entering or leaving the planet. Students then investigate polynomial and exponential functions to find...

This resource explores the application of flow charts, algorithms and mathematical based careers. Student pairs take it in turns to roll a die and travel along the board, racing through primary school, GCSE revision and work experience towards a successful career.

The resource...

The Nuffield Foundation provides this resource which shows students how, given a set of measurements along an irregular coastline, it is possible to approximate the area of land which is lost to coastal erosion over a period of time. Coastal erosion A - this activity uses the context of coastal erosion to introduce...

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...

Mathcentre provide these resources which cover aspects of complex numbers, often used in the field of engineering. They include the definition of a complex number and their associated arithmetic, the Argand diagram and polar form of a complex number, as well as the exponential form.

Comprehensive notes, with...

This collection of resources from MEI provides a series of hints, which are levelled, to prompt students through the questions in two exercises on complex numbers. Worked solutions for each question are also available.

MEI Online Resources provide this introduction to Complex Numbers for MEI FP1.

Detailed notes covering the number system, adding subtracting and multiplying complex numbers, complex conjugates, equations with complex roots, equating real and imaginary parts and crucial points to learn are included, together...

This collection of resources from MEI provides a series of hints, which are levelled, to prompt students through the questions in two exercises on using the Argand diagram for complex numbers. Worked solutions for each question are also available.

MEI Online Resources for MEI FP1 provide a selection of material for the modulus-argument form of Complex Numbers.

Detailed notes explain The modulus argument form of complex numbers and its application to sets of...

This collection of resources from MEI provides a series of hints, which are levelled, to prompt students through the questions in two exercises on using the Argand diagram for complex numbers. Worked solutions for each question are also available.