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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In this activity, students are given 100 natural numbers, all with value less than one hundred, and are asked to estimate the mean of the population by taking a number of samples, finding the mean of each sample and then finding the mean of the sample means.

This resource is part of the Making Stats Vital...

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 Core Maths task asks students to analyse data surrounding the design and promotion of a new breakfast cereal, ‘Shockwheat’, and the collectable toys contained in each pack.

Shockwheat: Teacher guide
A lesson by lesson outline, containing notes and suggestions on how best to...

A monkey is sitting in a tree and the aim is to shoot the monkey with a tranquilizer so that it can receive urgent medical attention. The monkey is very astute and will let go of the branch he...

Carom Maths provides this resource for teachers and students of A Level mathematics.

A motif, seen on the floor of a cafe, prompts an investigation into whether or not it is possible to use the kite shapes to form an exact polygon and leads to some interesting discoveries.

The resource is designed to...

This problem involves using vectors to model 3D space. Two skew lines are presented and the challenge is to find the shortest distance between the lines. In addition, the...

The task is to consider the process of making estimates to use in calculations before moving to the specific task of estimating the total surface area (i.e. skin area) of a volunteer. This is a readily accessible task, with students only needing basic measurement and...

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...

This Core Maths resource enables students to explore various models of the spread of disease. 

The presentation has links to instructions for three activities:

• a practical investigation using a die and counters to model...

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...

The Nuffield Foundation provide this resource where students use simulated stature data for men and women in eight countries to draw histograms and look for general results, as manufacturers need to take these into account when they design products. This is mainly intended as an introduction to the normal...

In this activity students begin with a simple introduction to the stock market; calculating new prices for a variety of fictional shares based on daily percentage changes.

The task requires students to calculate simple percentage changes. A spreadsheet is provided for students to record their results which...