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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Being Collaborative - Primary Geometry

### Always, Sometimes or Never? KS1Live

### Shapely Lines

### Matching Triangles

### Let's Investigate Triangles

### Poly Plug Pattern

### Data Shapes

### En-counters

### Paper Partners

### Overlaps

### Colouring Triangles

### Chain of Changes

### Skeleton Shapes

### Cubes Cut Into Four Pieces

### Break it Up!

### Seeing Squares

### Four Triangles Puzzle

### Jig Shapes

### Hundred Square

### Coordinate Challenge

### Always, Sometimes or Never? Shape

### Counters in the Middle

### A Cartesian Puzzle

### A Puzzling Cube

### Guess What?

### Square Corners

### Seeing Parallelograms

### Shape Draw

### Quad Match

### Making Cuboids

### Cut Nets

### Arranging Cubes

### Egyptian Rope

### Stringy Quads

### Quadrilaterals

### Board Block Challenge

### Reflector ! Rotcelfer

### Stick Images

### What Shape?

### Making Rectangles

### Eight Hidden Squares

### Inky Cube

### Ten Hidden Squares

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Age 5 to 7

Challenge Level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Age 5 to 7

Challenge Level

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

Age 5 to 7

Challenge Level

Can you sort these triangles into three different families and explain how you did it?

Age 5 to 7

Challenge Level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Age 5 to 7

Challenge Level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Age 5 to 7

Challenge Level

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Age 5 to 7

Challenge Level

This task requires learners to explain and help others, asking and answering questions.

Age 5 to 7

Challenge Level

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Age 5 to 7

Challenge Level

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Age 5 to 7

Challenge Level

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Age 5 to 7

Challenge Level

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?

Age 5 to 11

Challenge Level

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Age 5 to 11

Challenge Level

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.

Age 5 to 11

Challenge Level

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?

Age 5 to 11

Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Age 5 to 11

Challenge Level

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Are these statements always true, sometimes true or never true?

Age 7 to 11

Challenge Level

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Age 7 to 11

Challenge Level

Can you find out which 3D shape your partner has chosen before they work out your shape?

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

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.

Age 7 to 11

Challenge Level

Use the information on these cards to draw the shape that is being described.

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Age 7 to 11

Challenge Level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Age 7 to 11

Challenge Level

A task which depends on members of the group working collaboratively to reach a single goal.

Age 7 to 11

Challenge Level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 7 to 14

Challenge Level

This task requires learners to explain and help others, asking and answering questions.

Age 7 to 14

Challenge Level

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.

Age 7 to 14

Challenge Level

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

Age 7 to 14

Challenge Level

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?

Age 7 to 14

Challenge Level

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

Age 7 to 14

Challenge Level

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?