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?
Play a more cerebral countdown using complex numbers.
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.
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?
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?
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?
A mathematically themed crossword.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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
Use Excel to explore multiplication of fractions.
A tool for generating random integers.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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
An environment for exploring the properties of small groups.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
How good are you at finding the formula for a number pattern ?
Match pairs of cards so that they have equivalent ratios.
A collection of our favourite pictorial problems, one for each day
Use an interactive Excel spreadsheet to explore number in this
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.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
Use Excel to investigate the effect of translations around a number
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.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A group of interactive resources to support work on percentages Key
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
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.
Match the cards of the same value.
Can you beat the computer in the challenging strategy game?
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. . . .
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.
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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 locate these values on this interactive logarithmic scale?
Play countdown with vectors.
A weekly challenge concerning prime numbers.
Use this animation to experiment with lotteries. Choose how many
balls to match, how many are in the carousel, and how many draws to
make at once.
Play countdown with matrices
The classic vector racing game brought to a screen near you.