Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.
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?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
A group of interactive resources to support work on percentages Key Stage 4.
A collection of resources to support work on Factors and Multiples at Secondary level.
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. . . .
Can you find a way to turn a rectangle into a square?
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.
Use Excel to explore multiplication of fractions.
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...
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Match pairs of cards so that they have equivalent ratios.
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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?
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use Excel to investigate the effect of translations around a number grid.
Use an Excel spreadsheet to explore long multiplication.
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 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. . . .
A tool for generating random integers.
Here is a chance to play a fractions version of the classic Countdown Game.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
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. . . .
Use an interactive Excel spreadsheet to investigate factors and multiples.
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. . . .
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.
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.
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
To avoid losing think of another very well known game where the patterns of play are similar.
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
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
An animation that helps you understand the game of Nim.
Can you explain the strategy for winning this game with any target?
How good are you at estimating angles?
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?
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.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.