GeoGebra

Can you complete this jigsaw of the 100 square?

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?

How many different triangles can you draw which each have one dot in the middle?

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Sort the houses in my street into different groups. Can you do it in any other ways?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

There are sixteen teddies in Teddy Town - four red, four blue, four yellow and four green. There are also sixteen houses, four of each colour. Can you put them on the map of Teddy Town according to the rules?

There are twenty five teddies in Teddy Town - five red, five blue, five yellow, five green and five purple. There are also twenty five houses, five of each colour. Can you put them on the map of Teddy Town according to the rules?

There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

Use the clues to colour each square.

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

What is the greatest number of squares you can make by overlapping three squares?

Use these four dominoes to make a square that has the same number of dots on each side.

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Can you complete this jigsaw of the multiplication square?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

How would you move the bands on the pegboard to alter these shapes?

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

How many different triangles can you make on a circular pegboard that has nine pegs?

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

There are six numbers written in five different scripts. Can you sort out which is which?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Can you find all the different triangles on these peg boards, and find their angles?

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Move the corner of the rectangle. Can you work out what the purple number represents?

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?

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Can you find triangles on a 9-point circle? Can you work out their angles?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

What do you notice about the sum of two identical triangular numbers?

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Join pentagons together edge to edge. Will they form a ring?

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

How much of the square is coloured blue? How will the pattern continue?

Engage in a little mathematical detective work to see if you can spot the fakes.

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?

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 make a right-angled triangle on this peg-board by joining up three points round the edge?

It would be nice to have a strategy for disentangling any tangled ropes...

There are lots of ideas to explore in these sequences of ordered fractions.

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Can you work out how to produce different shades of pink paint?

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Can you make sense of these three proofs of Pythagoras' Theorem?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

How did the the rotation robot make these patterns?

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?

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.