Year 4 Being collaborative

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 will you complete these interactive Venn diagrams?

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

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.

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

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

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Use the clues about the symmetrical properties of these letters to place them on the grid.

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Can you use the information to find out which cards I have used?

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Find as many different ways of representing this number of dots as you can.

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 parallelogram.

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

A task which depends on members of the group noticing the needs of others and responding.

Can you place the blocks so that you see the reflection in the picture?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?