A group of interactive resources to support work on percentages Key
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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?
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
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.
Match the cards of the same value.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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.
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. . . .
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
Use Excel to explore multiplication of fractions.
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?
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?
Use an Excel spreadsheet to explore long multiplication.
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.
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
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.
A metal puzzle which led to some mathematical questions.
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.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
The number of plants in Mr McGregor's magic potting shed increases
overnight. He'd like to put the same number of plants in each of
his gardens, planting one garden each day. How can he do it?
Use an interactive Excel spreadsheet to investigate factors and
Practise your skills of proportional reasoning with this interactive haemocytometer.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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 beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
To avoid losing think of another very well known game where the
patterns of play are similar.
Can you break down this conversion process into logical steps?
A tool for generating random integers.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
A counter is placed in the bottom right hand corner of a grid. You
toss a coin and move the star according to the following rules: ...
What is the probability that you end up in the top left-hand. . . .
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Which exact dilution ratios can you make using only 2 dilutions?
Work out how to light up the single light. What's the rule?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Which dilutions can you make using only 10ml pipettes?