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Resources tagged with Shape, space & measures - generally similar to What Shape?:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > 2D Geometry, Shape and Space > Shape, space & measures - generally

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What Shape?

Stage: 2 and 3 Challenge Level: Challenge Level:1

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.

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Stick Images

Stage: 2 and 3 Challenge Level: Challenge Level:1

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

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Arranging Counters

Stage: 2 Challenge Level: Challenge Level:1

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

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Coloured Edges

Stage: 3 Challenge Level: Challenge Level:1

The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. How many tiles are there in the set?

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Arranging Cubes

Stage: 1 and 2 Challenge Level: Challenge Level:1

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

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Triangles in the Middle

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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

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En-counters

Stage: 1 and 2 Challenge Level: Challenge Level:1

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

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All in the Mind

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Imagine you are suspending a cube from one vertex (corner) and allowing it to hang freely. Now imagine you are lowering it into water until it is exactly half submerged. What shape does the surface. . . .

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Farmers Field

Stage: 3 Challenge Level: Challenge Level:1

A farmer has a flat field and two sons who will each inherit half of the field. The farmer wishes to build a stone wall to divide the field in two so each son inherits the same area. Stone walls are. . . .

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Appearing Square

Stage: 3 Challenge Level: Challenge Level:1

Make an eight by eight square, the layout is the same as a chessboard. You can print out and use the square below. What is the area of the square? Divide the square in the way shown by the red dashed. . . .

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Christmas Boxes

Stage: 3 Challenge Level: Challenge Level:1

Find all the ways to cut out a 'net' of six squares that can be folded into a cube.

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What's Inside/outside/under the Box?

Stage: 2 and 3

This article describes investigations that offer opportunities for children to think differently, and pose their own questions, about shapes.

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Disappearing Square

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .

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Different Sizes

Stage: 1 and 2 Challenge Level: Challenge Level:1

A simple visual exploration into halving and doubling.

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Arranging Squares

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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

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The Development of Spatial and Geometric Thinking: the Importance of Instruction.

Stage: 1 and 2

This article looks at levels of geometric thinking and the types of activities required to develop this thinking.

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The Development of Spatial and Geometric Thinking: 5 to 18

Stage: 1, 2, 3 and 4

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .

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Painting Cubes

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

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The Old Goats

Stage: 3 Challenge Level: Challenge Level:1

A rectangular field has two posts with a ring on top of each post. There are two quarrelsome goats and plenty of ropes which you can tie to their collars. How can you secure them so they can't. . . .

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National Flags

Stage: 2 Challenge Level: Challenge Level:1

This problem explores the shapes and symmetries in some national flags.

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Making Maths: A-maze-ing

Stage: 2 Challenge Level: Challenge Level:1

Did you know mazes tell stories? Find out more about mazes and make one of your own.

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Introducing NRICH TWILGO

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?

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Paving Paths

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

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What Is the Circle Scribe Disk Compass?

Stage: 3 and 4

Introducing a geometrical instrument with 3 basic capabilities.

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Arclets Explained

Stage: 3 and 4

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

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L-ateral Thinking

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

Try this interactive strategy game for 2

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Squareo'scope Determines the Kind of Triangle

Stage: 3

A description of some experiments in which you can make discoveries about triangles.

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School Fair Necklaces

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

How many possible necklaces can you find? And how do you know you've found them all?

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Make Your Own Solar System

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Making a scale model of the solar system

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Flip Your Mat!

Stage: 2 and 3 Challenge Level: Challenge Level:1

What shape and size of drinks mat is best for flipping and catching?