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There are 173 NRICH Mathematical resources connected to Interactivities, you may find related items under Physical and digital manipulatives.
Broad Topics > Physical and digital manipulatives > InteractivitiesUse the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
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 the distance it travels at each stage.
Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
An environment which simulates working with Cuisenaire rods.
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you find all the different triangles on these peg boards, and find their angles?
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Can you find triangles on a 9-point circle? Can you work out their angles?
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
Can you find the pairs that represent the same amount of money?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Can you work out what step size to take to ensure you visit all the dots on the circle?
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?
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?
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 these head, body and leg pieces to make Robot Monsters which are different heights.
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...
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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.
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?
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?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Put the steps of this proof in order to find the formula for the sum of an arithmetic sequence
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.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Practise your tables skills and try to beat your previous best score in this interactive game.
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
How good are you at estimating angles?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Can you explain the strategy for winning this game with any target?
Use the clues to colour each square.
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
What is the greatest number of squares you can make by overlapping three squares?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?