This activity begins with the definition of the mean and the variance of a binomial distribution. Students are then challenged to take each definition and prove that they work for the binomial distribution B(3,p). The first task is for students to construct the probability distribution then calculate the mean and...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that if a link is suspected between a risk factor and an illness, statistical methods can be used to test whether such a link exists. Topic areas covered are:...

In this activity the goal is for students to understand how the regression line is chosen. Autograph has a built-in facility for showing the squares of the residuals and is required to make this task work. Students are asked to explore what the lines that give the sum of the y-on-x residuals equal to zero have in...

This Core Maths resource includes data from which students can calculate correlation coefficients. The resources includes a card sort that matches up scatter-graphs, data tables and product moment correlation coefficients. 

The teachers' notes give detailed teaching suggestions on how to introduce and...

This Core Maths task asks the question ‘How do you know if you are really unwell?’ The activity explores the data surrounding body temperature, shows how to summarise continuous data and explores the effect on summary statistics that changing the size of the class interval has.

Body temperature:...

This activity, from the Institution of Engineering and Technology (IET), looks at how the boomerang works from design and scientific principles. Students explore how aerodynamic forces affect the flight of objects, relate the design features of the boomerang to its path...

The problem starts with choosing three distinct, non-zero integers between -5 and 5 that do not sum to zero. These are then used in a six factorisations that make use of...

This Core Maths resource contains teachers' notes, lesson plan and student handouts that explore budgeting and foreign exchange. The two topics can be combined into one large project or taught as two discrete tasks. 

There is a Powerpoint presentation of the tasks for classroom use, including possible...

Carom Maths provides this resource for teachers and students of A Level mathematics. This presentation introduces an explanation and a simulation of Buffon's Needles experiment, that yields an approximation for π, before developing the experiment further by asking what would happen if the shape of the needles were...

A set of simple scratch ‘debugging’ activities that children can use to apply their understanding of programs and codes.  Children are shown a series of faulty programs which are based around the water cycle.  They are then supported to use logical reasoning to locate and fix the bugs within them.  Notes for...

In this activity, students create colour images from satellite data. This allows them to study how different surfaces reflect different wavelengths of light, how coloured images are created using an RGB model, and how band combinations can be chosen to examine a particular landscape effectively.

This resource develops the concept of solving equations where the unknown appears once or more than once.

Students are given the equation

x = 6

and then told that the value of x could have been derived from the equation

3x =  2x + 6

Students are then construct their own equation...

This toolkit explores important economic indicators and trends in the UK economy. Students can use the World trade explorer and access a range of raw data about different economic indicators. These can help them to analyse and interpret trends and patterns within the UK economy. They can also explore the economic...

This activity, from the Institution of Engineering and technology (IET), focuses on the design of a tessellated product and preparation for manufacture. The resource is designed to allow students to:
• be able to analyse a design brief
• be able to generate...