This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Triangle ABC has equilateral triangles drawn on its edges. Points
P, Q and R are the centres of the equilateral triangles. What can
you prove about the triangle PQR?
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?
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A group of interactive resources to support work on percentages Key
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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?
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
A mathematically themed crossword.
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?
Use Excel to explore multiplication of fractions.
Play countdown with vectors.
Match the cards of the same value.
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
An environment for exploring the properties of small groups.
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.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
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.
Here is a chance to play a fractions version of the classic
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Play a more cerebral countdown using complex numbers.
What is the quickest route across a ploughed field when your speed
around the edge is greater?
Use Excel to investigate the effect of translations around a number
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
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
Cellular is an animation that helps you make geometric sequences composed of square cells.
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?
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.
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. . . .
To avoid losing think of another very well known game where the
patterns of play are similar.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
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.
Can you beat the computer in the challenging strategy game?
How good are you at finding the formula for a number pattern ?
Investigate how logic gates work in circuits.
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
Practise your skills of proportional reasoning with this interactive haemocytometer.