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...

In this activity Colin and Phil take it in turns to roll a dice. The winner is the first to throw a six. Students are asked to investigate conditional probability to find the probability of each player winning and hence determine whether the game is fair. The presentation provides a complete solution before...

In this activity students are presented with a variety of information regarding the number of students who study mathematics and/or physics. Students are asked to use this information to complete a Venn diagram. A complete solution to the problem is explained before a series of related challenges are posed...

This resource from Practical Action includes a presentation and worksheets which give Key Stage Three and Four students opportunities to understand more about the impact of existing and new products on people and the environment. The presentation is packed with useful activities to reinforce students' learning. The...

Standards Unit: Improving Learning in Mathematics professional development materials. Features notes and presentations describing the active learning approaches.

Getting started To encourage participants to: * reflect on their current assumptions, beliefs, and teaching practices; * consider...

• What is practical science like in many secondary schools?
• What do we want it to look like?
• How can teachers, departments and schools be encouraged to plan...

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...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore what is meant by a quadratic equation, the meaning of the coefficients of a quadratic equation and to be able to solve quadratic equations. An introduction page gives examples of where quadratic equations...

Carom Maths provides this resource for teachers and students of A Level mathematics to explore aspects of the subject which may not normally be encountered, to encourage new ways to approach a problem mathematically and to broaden the range of tools that an A Level...

The investigation begins by looking at the area of three segments related to a quadratic. The first segment is the area between the curve and the x-axis. Each of the other...

Produced in 2015, these resources look at the development of encoding messages and how technology and science has developed to allow us to keep messages secure. Looking at unintuitive quantum properties of light, Heisenberg’s Uncertainty Principal and entanglement, students will see how keys can be shared to ensure...

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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This magic trick from the Computer Science for Fun (CS4FN) team at QMUL is based on a ‘self-working trick’. It includes a set of instructions which, so long as the commands are followed, works every time. It is, therefore, an algorithm.

The trick involves playing cards – the actual value of the cards is not...

This is a problem solving lesson, intended to assess how well students are able to:

• Understand and calculate the conditional probability of an event A, given an event B
• Represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams

The problem is...