This is an interactivity in which you have to sort into the correct order the steps in the proof of the formula for the sum of a geometric series.
To avoid losing think of another very well known game where the patterns of play are similar.
Can you beat the computer in the challenging strategy game?
Make and prove a conjecture about the cyclic quadrilateral inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
Cellular is an animation that helps you make geometric sequences composed of square cells.
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Can you locate these values on this interactive logarithmic scale?
Practise your skills of proportional reasoning with this interactive haemocytometer.
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .
A metal puzzle which led to some mathematical questions.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
An environment that enables you to investigate tessellations of regular polygons
Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .
Discover a handy way to describe reorderings and solve our anagram in the process.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Can you work through these direct proofs, using our interactive proof sorters?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Use Excel to explore multiplication of fractions.
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
Take any parallelogram and draw squares on the sides of the parallelogram. What can you prove about the quadrilateral formed by joining the centres of these squares?
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Match the cards of the same value.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Here is a chance to play a fractions version of the classic Countdown Game.
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!
A group of interactive resources to support work on percentages Key Stage 4.
Play countdown with matrices
A collection of resources to support work on Factors and Multiples at Secondary level.
Play a more cerebral countdown using complex numbers.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.
A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.