This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
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?
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
A group of interactive resources to support work on percentages Key
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Match pairs of cards so that they have equivalent ratios.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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?
Use an Excel spreadsheet to explore long multiplication.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
An Excel spreadsheet with an investigation.
Use Excel to explore multiplication of fractions.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Play countdown with matrices
An environment for exploring the properties of small groups.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An environment that enables you to investigate tessellations of
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Try ringing hand bells for yourself with interactive versions of
Diagram 2 (Plain Hunt Minimus) and Diagram 3 described in the
article 'Ding Dong Bell'.
Play a more cerebral countdown using complex numbers.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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.
Play countdown with vectors.
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.
The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
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.
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?
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?
How good are you at estimating angles?
Six circles around a central circle make a flower. Watch the flower
as you change the radii in this circle packing. Prove that with the
given ratios of the radii the petals touch and fit perfectly.
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
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.
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. . . .
Match the cards of the same value.
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. . . .
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?
Balancing interactivity with springs and weights.