The Nuffield Foundation provides this activity where students suggest types of function to model ozone hole data, before using a graphic calculator or spreadsheet to find at least two particular models. They then consider how well their functions model the data and what they predict for the future. The slideshow...

In this activity from the Nuffield Foundation, which uses a scenario of parking permits at a college to introduce the topic, students learn about collecting data by stratified sampling and designing a questionnaire. A full review of relevant statistical terms is provided, together with instructions of how to select...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students demonstrates that coffee cools gradually because it is hotter than room temperature and heat is lost to the room. Mixing the coffee with milk also cools it but this effect is...

Many topological graphs have edges that cross. The aim is to re-draw the graph in such a way that none of the edges cross. The task informs students they are required to design a printed circuit board and since the wires are not insulated they must not cross.

Planarity: presentation - an...

This resource contains seven activities related to population statistics.

Data Assessment...

The presentation presents a box containing m white balls and n black balls. Students are asked to explore the probability that if two balls are chosen consecutively, without replacement, the two balls are the same colour. A spreadsheet simulating the situation is provided to enable students to experiment. The...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows that correlation can be used to measure the strength of a linear relationship.

Statistical Inference looks for evidence of what is happening in the population by...

In this resource students are given the coordinates for each vertex of a triangle, with two of the vertices being horizontal. The challenge is to determine the ratio of the tangents of two of the angles.

Each student worksheet has a different triangle, but the solutions all have something in common.

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The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

In this activity from the Nuffield Foundation, students carry out an experiment to collect data about a trolley rolling down a slope. They then use this data to simulate the motion of a train by fitting a quadratic curve to their data, using a graphic calculator or spreadsheet. The slideshow provides an...

Artificial intelligence (AI) is a disruptive technology, meaning that it is significantly changing the way that people, businesses, and industry interact. To put it in context, the invention of the wheel, electricity, TV, and GPS are all disruptive technologies that changed the way in which society worked.

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This activity is designed to deepen understanding of hypothesis testing. Students are presented with a coin which is suspected of being biased. A hypothesis test is set up. A results table is shown giving the significance of the result at different levels of significance for different outcomes. Students are...

This activity allows students to investigate how images are produced from data streams by using first a spreadsheet and then an image-processing program. They then go on to see how the usefulness of such a monochromatic image may be enhanced by using lookup tables and calibration. The materials used focus on the...

This outreach programme aimed to build upon good practice from the Royal Society of Chemistry's (RSC) project Chemistry for our Future, and to develop new activities which could then be used with the RSC’s Spectroscopy in a Suitcase (SIAS) equipment. It explored appropriate contexts which may appeal to students...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how modelling helps decision making by allowing us to see what is likely to happen. The mathematical ideas covered are:
• Modelling cycle
• Binomial...