Act 1

A picture is shown of a circle filled with toy cars. How many cars are shown in the picture?

Act 2

Further information is given about the dimension of the circle. Another picture shows a model car placed at the side of a penny. A final piece of information gives the price of a toy car. ...

In this Core Maths resource students are asked to apply their knowledge of upper and lower bounds when designing a car park for a department store. 

The teacher's notes suggest possible extensions, such as comparing with a real car park or finding possible profit if their design...

These two Future Morph resources aim to show students that there is a wide choice of options open to those who study sciences and mathematics. The resources consist of:

Career examples list

The list covers six...

In this Core Maths activity students are invited to play a game using non-transitive dice, and explore the probability behind them.

Champion of the world: Teacher guide
This teacher guidance gives an overview of the task including prior student knowledge, suggested approaches and...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the acidity of a solution depends on the number of hydrogen ions per litre; the number of hydrogen ions per litre varies so much that a logarithmic scale is...

In this activity from the Nuffield Foundation students use the Chinese postman algorithm, also called the Route Inspection Problem, to solve practical problems. The College Open Day problem provides an introduction to the concept, and asks students to investigate the minimum distance someone would have to travel to...

This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of identifying when two quantities vary in direct proportion to each other. Students enhance their ability to:

• Distinguish between direct proportion and other functional relationships
• Solve proportionality problems using efficient methods

The...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

• Classifying numbers as rational or irrational.
• Moving between different representations of rational and irrational numbers.

 An...

The first activity in this resource asks students to consider x = 5 and answer the question ‘what value is y’? An initial discussion builds up understanding of graphical representations of linear equations.

This lesson develops solving pairs of linear equations by considering their graphical representations...

This cross curricular activity includes science content from Year Four of the primary curriculum. It introduces programming and control, linked to the outside world through sensors - in this case, the computer's built-in microphone or a peripheral microphone. Programs are written using Scratch (online or offline)...

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...

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...

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...

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...