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?
Prove Pythagoras' Theorem using enlargements and scale factors.
Can you discover whether this is a fair 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. . . .
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Use Excel to investigate the effect of translations around a number
A group of interactive resources to support work on percentages Key
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?
A collection of resources to support work on Factors and Multiples at Secondary level.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Match pairs of cards so that they have equivalent ratios.
How good are you at estimating angles?
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?
Use Excel to explore multiplication of fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
An environment that enables you to investigate tessellations of
Use an interactive Excel spreadsheet to explore number in this
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
The classic vector racing game brought to a screen near you.
A tool for generating random integers.
Match the cards of the same value.
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.
How good are you at finding the formula for a number pattern ?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A metal puzzle which led to some mathematical questions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
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. . . .
Use an interactive Excel spreadsheet to investigate factors and
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 an Excel spreadsheet to explore long multiplication.
Can you beat the computer in the challenging strategy game?
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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. . . .
Cellular is an animation that helps you make geometric sequences composed of square cells.
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.