Prove Pythagoras' Theorem using enlargements and scale factors.
An environment that enables you to investigate tessellations of regular polygons
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.
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.
How good are you at finding the formula for a number pattern ?
Use Excel to explore multiplication of fractions.
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?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
Can you beat the computer in the challenging strategy game?
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?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
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?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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. . . .
A collection of resources to support work on Factors and Multiples at Secondary level.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
A group of interactive resources to support work on percentages Key Stage 4.
Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.
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.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A tool for generating random integers.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Here is a chance to play a fractions version of the classic Countdown Game.
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 exciting game!
Can you find triangles on a 9-point circle? Can you work out their angles?
Use Excel to investigate the effect of translations around a number grid.
How good are you at estimating angles?
Can you explain the strategy for winning this game with any target?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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. . . .
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?
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.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
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.
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.
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.
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
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. . . .