This task is designed to assess how well students understand

The initial problems shows a black circle with radius 2r, inside of who two smaller circles of radius r are drawn. Students must show that the fraction of the diagram that is black is equal to a half.

The initial problem is altered with four...

Act 1

A square and circle are shown. Initially the square...

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 resource contains six activities for use in the classroom when exploring the properties of circles.

The Circle: Contains a variety of questions requiring students to calculate the circumference and the area of circles. Given values for the diameter or radius of the circle. The second...

These 15 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, require students to perform a practical experiment in order to estimate a value for pi, describe a circle over the phone, find a connection between the length of the radius of a circle...

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...

This MEP resource from CIMT is taken from text book 8B which covers the mathematics scheme of work for the second half of year 8.

Circles and Cylinders covers, an introduction to circles, naming the different parts of a circle, estimating the circumference of a circle, eatimating the area of a circle,...

This task is designed to assess how well students understand ratio and areas.

A diagram is shows a circle with one square inside and one square outside, both just touching the circle. The first task is to work out the ratio of the areas of the two squares.

A circle is then inscribed inside of the...

In this activity, students are presented with a series of different sized equilateral triangles each containing a number of circles, each of radius one unit. Students are required to find the exact area of each triangle.

The activity is extended into three dimensions by considering the volume of shapes...

This resource, from the Royal Institution, includes an example of a school outing that centres on mathematics. A trip to famous London buildings provides a natural context to integrate mathematics, engineering and technology. Creativity and knowledge are used to address energy efficiency issues, touch on topics...

This resource provided by Siemens, aimed at primary learners, looks at how science, technology and engineering has shaped the way we live. It is divided into four activities which link to aspects of the technology, science and mathematics curriculum.

• The power of steam - The first part...

When you have a set of data the first thing you need to do is to check it out and eliminate any obviously wrong or false data. This is called “Cleaning the Data”.

This resource from CensusAtSchool provides a...

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...