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#### Resources tagged with Visualising similar to Triangle Transformation:

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### Trice

##### Age 11 to 14 Challenge Level:

ABCDEFGH is a 3 by 3 by 3 cube. Point P is 1/3 along AB (that is AP : PB = 1 : 2), point Q is 1/3 along GH and point R is 1/3 along ED. What is the area of the triangle PQR?

### Part the Polygons

##### Age 7 to 11 Short Challenge Level:

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.

### 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!

### Rolling Around

##### Age 11 to 14 Challenge Level:

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

##### Age 11 to 14 Challenge Level:

Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?

### Dotty Triangles

##### Age 11 to 14 Challenge Level:

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?

### Isosceles Triangles

##### Age 11 to 14 Challenge Level:

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

### Triangular Tantaliser

##### Age 11 to 14 Challenge Level:

Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.

### Like a Circle in a Spiral

##### Age 7 to 16 Challenge Level:

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

### The Old Goats

##### Age 11 to 14 Challenge Level:

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. . . .

### Weighty Problem

##### Age 11 to 14 Challenge Level:

The diagram shows a very heavy kitchen cabinet. It cannot be lifted but it can be pivoted around a corner. The task is to move it, without sliding, in a series of turns about the corners so that it. . . .

##### Age 11 to 14 Challenge Level:

Can you mark 4 points on a flat surface so that there are only two different distances between 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?

### Efficient Cutting

##### Age 11 to 14 Challenge Level:

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

### Fred the Class Robot

##### Age 7 to 11 Challenge Level:

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

### 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.

### Tetrahedra Tester

##### Age 11 to 14 Challenge Level:

An irregular tetrahedron is composed of four different triangles. Can such a tetrahedron be constructed where the side lengths are 4, 5, 6, 7, 8 and 9 units of length?

### Dicey

##### Age 7 to 11 Challenge Level:

A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?

### World of Tan 25 - Pentominoes

##### Age 7 to 11 Challenge Level:

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

### Concrete Wheel

##### Age 11 to 14 Challenge Level:

A huge wheel is rolling past your window. What do you see?

### Painted Faces

##### Age 7 to 11 Challenge Level:

Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?

### World of Tan 21 - Almost There Now

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?

### Playground Snapshot

##### Age 7 to 14 Challenge Level:

The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?

### 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?

### Cutting a Cube

##### Age 11 to 14 Challenge Level:

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?

### World of Tan 3 - Mah Ling

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outline of Mah Ling?

### All in the Mind

##### Age 11 to 14 Challenge Level:

Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?

### Cube Paths

##### Age 11 to 14 Challenge Level:

Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?

### 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?

### Folding Flowers 1

##### Age 7 to 11 Challenge Level:

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

### Folding Flowers 2

##### Age 7 to 11 Challenge Level:

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

### Tumbling Down

##### Age 7 to 11 Challenge Level:

Watch this animation. What do you see? Can you explain why this happens?

### 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?

### World of Tan 30 - Logical Thinking

##### Age 7 to 11 Challenge Level:

Can you logically construct these silhouettes using the tangram pieces?

### 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?

### Overlapping Again

##### Age 7 to 11 Challenge Level:

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.

### World of Tan 14 - Celebrations

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outlines of Little Ming and Little Fung dancing?

### World of Tan 2 - Little Ming

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outline of Little Ming?

### World of Tan 27 - Sharing

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outline of Little Fung at the table?

### World of Tan 11 - the Past, Present and Future

##### Age 7 to 11 Challenge Level:

Can you fit the tangram pieces into the outlines of the telescope and microscope?