A Markov chain is a mathematical system that undergoes transitions from one state to another, between a finite number of states.

This resource comprises a spreadsheet which allows students to enter values into the transition matrix and the initial state matrix of 2x2 and 3x3 matrices then perform a number of...

In this resource from the DfE Standards Unit, students practise differentiating quadratic functions and finding the values of a function and its derivative at specific points. They will distinguish between f (x) and f ′(x), relate values of f (x) and f ′(x) to the graph of y = f (x) and reflect on and discuss these...

This resource from the Nuffield Foundation provides a set of 24 cards which students use to match graphs with descriptions of the real situations they represent. The slideshow includes the same graphs with added titles and labels. This can be used in a class discussion about the shapes of the graphs, the variables...

This resource develops the concept of exploring variables in everyday situations. In addition, students work on finding unknown values from known values, finding relationships between pairs of unknowns, expressing relationships in the form of tables and graphs, and rearranging formulas. The central theme of the...

A matching is a set of edges on a bipartite graph in which no two edges share a common vertex. A bipartite graph consists of two sets of vertices X and Y. The edges only join vertices in X to vertices in Y. A matching in a bipartite graph is the pairing of some or all of the vertices in X with some or all of the...

This activity, from the Association of Teachers of Mathematics (ATM) publication ‘The Long and the Short’, contains two activities concentrating upon the process of counting and spotting patterns.

Students are presented with a number of rectangles. Each rectangle is constructed from adjoining squares made...

This task is designed to assess how well students understand:

• Using the formula for the volume of a cone
• Converting between measurements

For this task, a tree trunk is thought of as being approximated by a cone. Students are given the formula for a cone, and the dimensions of a...

This activity asks students to plan and carry out an investigation to test the suitability of materials to absorb or insulate sound and to identify what other variables need to be considered when choosing a material to use in a building. Students also consider whether a...

A collection of primary mathematics resources from MathSphere.

Mathcentre has been set up to deliver mathematics support materials, free of charge, to students, teachers, lecturers and everyone looking for help with post-16 mathematics.

Mathcentre gives students the opportunity to study important areas of pre-university mathematics, which they may have studied before or...

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The United Kingdom Mathematics Trust (UKMT) is a registered charity whose aim is to advance the education of children and young people in mathematics. Originally established in 1996, the UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK students. The...

This book of challenges for more able students from the National Numeracy Strategy contains puzzles and problems. These are accessible to a wide range of students. There are four separate files covering ...

This MEP resource from CIMT is taken from text book 8A which covers the mathematics scheme of work for the first half of year 8.

Mathematical diagrams covers: mileage charts, using flow charts to plan practical tasks, using flow charts for classification, networks and critical path analysis.

The...