In this resource, students are asked to consider data set in which the value of the mean is very close to the value of the variance. The aim of the resource is for students to understand that whilst mean being equal to variance indicates that the distribution may be a Poisson distribution that this not true in all...

In this activity, students are presented with a case in which the calculate probability is calculated using the Binomial and then the Poisson distribution. Each method produces results close to each other. Students are set the task of finding the value for n used. Subsequent slides reveal the solution.

This...

In this resource students deal with an optimisation problem involving perimeter and area based on a Greek mythological story about a princess. She wants to maximise the area contained in a given perimeter and decides on a circle. The concept of the Isoperimetric...

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

This presentation challenges students to use the rules they have been given to develop a logical system and deduce theorems which prove that the system is complete and consistent and introduces the idea of truth tables to...

The introduction to this problem involves modelling a race from one tree to another, and the requirement to touch a fence on the way. The challenge is to determine the...

This paper from the May 2016 Using STEM Research Conference investigates the ways in which real world contexts can be used in D&T lessons, from local projects such as community gardening to global concerns such as climate change.

Author: Kay Stables

In this Core Maths activity students are invited to explore a range of casino based games to understand the probability, and likelihood of winning, when gambling.

The secret of winning: Teacher Guide
This teacher guidance introduces the reasoning behind the task, features of the...

In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.

The first activity uses function notation to explore translations parallel to the x axis and...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of shapes including translation by a vector, stretches, rotations around a point, reflection in the axes and reflections in the lines y=x and y=-x.

The first activity draws a...

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

A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed...

In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.

Each student worksheet contains a different triangle, but the answers all have something in common.

The solution involves...

This short task contains two questions on applying trigonometry.

The topics covered are:

• Linking sine, cosine and tangent
• Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
• Using the Pythagorean identity sin2(x) + cos2(x) = 1...

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

This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...