Resources tagged with: Visualising

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There are 183 results

Broad Topics > Thinking Mathematically > Visualising

How Many Pieces This Time?

Age 5 to 7
Challenge Level

How many pieces of string have been used in these patterns? Can you describe how you know?

How Many Pieces?

Age 5 to 7
Challenge Level

How many loops of string have been used to make these patterns?

Paper Partners

Age 5 to 7
Challenge Level

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

Reef and Granny

Age 7 to 11
Challenge Level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

Building with Cubes

Age 5 to 7
Challenge Level

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

Triangular Faces

Age 7 to 11
Challenge Level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

Making Maths: Rolypoly

Age 5 to 11
Challenge Level

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

Regular Rings 1

Age 7 to 11
Challenge Level

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Midpoint Triangle

Age 7 to 11
Challenge Level

Can you cut up a square in the way shown and make the pieces into a triangle?

Six to Four

Age 5 to 7
Challenge Level

Move four sticks so there are exactly four triangles.

Tessellating Capitals

Age 5 to 7
Challenge Level

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.

Happy Halving

Age 5 to 7
Challenge Level

Can you split each of the shapes below in half so that the two parts are exactly the same?

Overlaps

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.

Folding Flowers 2

Age 7 to 11
Challenge Level

Make a flower design using the same shape made out of different sizes of paper.

Paper Patchwork 2

Age 5 to 7
Challenge Level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Sponge Sections

Age 7 to 11
Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Rearrange the Square

Age 5 to 7
Challenge Level

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

Paper Patchwork 1

Age 5 to 7
Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

The Development of Spatial and Geometric Thinking: Co-ordinating Space in Drawings

Age 5 to 7

This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction.

Folding Flowers 1

Age 7 to 11
Challenge Level

Can you visualise what shape this piece of paper will make when it is folded?

Regular Rings 2

Age 7 to 11
Challenge Level

What shape is made when you fold using this crease pattern? Can you make a ring design?

World of Tan 17 - Weather

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the house?

Put Yourself in a Box

Age 7 to 11
Challenge Level

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.

Start Cube Drilling

Age 5 to 7
Challenge Level

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

World of Tan 13 - A Storm in a Tea Cup

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the convex shapes?

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

Age 5 to 11

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

Shadow Play

Age 5 to 7
Challenge Level

Here are shadows of some 3D shapes. What shapes could have made them?

Hexagon Transformations

Age 7 to 11
Challenge Level

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

Endless Noughts and Crosses

Age 7 to 11
Challenge Level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

Matchsticks

Age 7 to 11
Challenge Level

Reasoning about the number of matches needed to build squares that share their sides.

Construct-o-straws

Age 7 to 11
Challenge Level

Make a cube out of straws and have a go at this practical challenge.

Skeleton Shapes

Age 5 to 7
Challenge Level

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

Trace the Edges

Age 7 to 11
Challenge Level

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?

Move Those Halves

Age 7 to 11
Challenge Level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Folding, Cutting and Punching

Age 7 to 11
Challenge Level

Exploring and predicting folding, cutting and punching holes and making spirals.

Stringy Quads

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!

World of Tan 30 - Logical Thinking

Age 7 to 11
Challenge Level

Can you logically construct these silhouettes using the tangram pieces?

World of Tan 7 - Golden Goose

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the plaque design?

World of Tan 6 - Junk

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the silhouette of the junk?

World of Tan 18 - Soup

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?

World of Tan 28 - Concentrating on Coordinates

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the playing piece?

World of Tan 24 - Clocks

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the clock?

World of Tan 1 - Granma T

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of Granma T?

World of Tan 12 - All in a Fluff

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the rabbits?

World of Tan 20 - Fractions

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the chairs?

World of Tan 5 - Dragon

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the dragon?

World of Tan 4 - Monday Morning

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of Wai Ping, Wu Ming and Chi Wing?

World of Tan

Age 5 to 11
Challenge Level

Read about the adventures of Granma T and her grandchildren in this series of stories, accompanied by interactive tangrams.

World of Tan 9 - Animals

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the camel and giraffe?

Square Surprise

Age 5 to 11
Challenge Level

Why do you think that the red player chose that particular dot in this game of Seeing Squares?