A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this
Use an Excel spreadsheet to explore long multiplication.
Use Excel to explore multiplication of fractions.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to investigate the effect of translations around a number
An environment that enables you to investigate tessellations of
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
Do you know how to find the area of a triangle? You can count the
squares. What happens if we turn the triangle on end? Press the
button and see. Try counting the number of units in the triangle
now. . . .
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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
An Excel spreadsheet with an investigation.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A collection of our favourite pictorial problems, one for each day
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Can you find all the 4-ball shuffles?
Match the cards of the same value.
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
To avoid losing think of another very well known game where the
patterns of play are similar.
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?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
Can you beat the computer in the challenging strategy game?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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. . . .
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?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
A tilted square is a square with no horizontal sides. Can you
devise a general instruction for the construction of a square when
you are given just one of its sides?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
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. . . .
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Here is a chance to play a fractions version of the classic
A tool for generating random integers.
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
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 game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.