List

Playing with 2D shape

Giving children chance to 'play around' with two-dimensional shapes gives them the freedom to explore spatial properties for themselves, thereby developing their understanding in a meaningful way.  These activities offer contexts in which children can engage in this 'play'.

Matching Triangles
problem
Favourite

Matching triangles

Age
5 to 7
Challenge level
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Can you sort these triangles into three different families and explain how you did it?

Let's Investigate Triangles
problem
Favourite

Let's investigate triangles

Age
5 to 7
Challenge level
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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?

Sorting Logic Blocks
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Favourite

Sorting logic blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.

Transformations on a Pegboard
problem
Favourite

Transformations on a pegboard

Age
7 to 11
Challenge level
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How would you move the bands on the pegboard to alter these shapes?
Stringy Quads
problem
Favourite

Stringy quads

Age
7 to 11
Challenge level
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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Stick images
problem
Favourite

Stick images

Age
7 to 14
Challenge level
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This task requires learners to explain and help others, asking and answering questions.



More activities with 2-d shape for younger children, and 3-d shapes for older.
Repeating Patterns
problem
Favourite

Repeating patterns

Age
5 to 7
Challenge level
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Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Mrs Trimmer's String
problem

Mrs Trimmer's string

Age
5 to 7
Challenge level
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Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

Triangle Animals
problem
Favourite

Triangle animals

Age
5 to 7
Challenge level
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How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Animated Triangles
problem

Animated triangles

Age
5 to 7
Challenge level
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Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
Triangle Edges
problem

Triangle edges

Age
5 to 7
Challenge level
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How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Cutting Corners
problem

Cutting corners

Age
7 to 11
Challenge level
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Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Egyptian Rope
problem
Favourite

Egyptian rope

Age
7 to 11
Challenge level
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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?

Overlapping Again
problem
Favourite

Overlapping again

Age
7 to 11
Challenge level
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What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Quadrilaterals
problem
Favourite

Quadrilaterals

Age
7 to 11
Challenge level
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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Triangle Pin-Down
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Triangle pin-down

Age
7 to 11
Challenge level
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Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
What shape?
problem
Favourite

What shape?

Age
7 to 14
Challenge level
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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.

Shaping Up with Tessellations
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Shaping up with tessellations

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your children to take over.