Resources tagged with: Symmetry

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There are 40 results

Broad Topics > Transformations and constructions > Symmetry

A Cartesian Puzzle

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.

Shady Symmetry

Age 11 to 14
Challenge Level

How many different symmetrical shapes can you make by shading triangles or squares?

Overlap

Age 11 to 14
Challenge Level

A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .

Reflecting Squarely

Age 11 to 14
Challenge Level

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Attractive Rotations

Age 11 to 14
Challenge Level

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Gibraltar Geometry

Age 11 to 14
Challenge Level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?

Shape Draw

Age 7 to 11
Challenge Level

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

Pattern Power

Age 5 to 14

Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.

Friezes

Age 11 to 14

Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

Frieze Patterns in Cast Iron

Age 11 to 16

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

Hidden Meaning

Age 7 to 11
Challenge Level

What is the missing symbol? Can you decode this in a similar way?

Topkapi Palace

Age 7 to 14
Challenge Level

These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and. . . .

Making Maths: Indian Window Screen

Age 7 to 11
Challenge Level

Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?

Making Maths: Snowflakes

Age 7 to 11
Challenge Level

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

Troublesome Dice

Age 11 to 14
Challenge Level

When dice land edge-up, we usually roll again. But what if we didn't...?

Making Maths: Five-point Snowflake

Age 7 to 11
Challenge Level

Follow these instructions to make a five-pointed snowflake from a square of paper.

Paint Rollers for Frieze Patterns.

Age 11 to 16

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

Tournament Scheduling

Age 11 to 16

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.

National Flags

Age 7 to 11
Challenge Level

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

Reflector ! Rotcelfer

Age 7 to 11
Challenge Level

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

Trominoes

Age 11 to 16
Challenge Level

Can all but one square of an 8 by 8 Chessboard be covered by Trominoes?

Notes on a Triangle

Age 11 to 14
Challenge Level

Can you describe what happens in this film?

Tiles in a Public Building

Age 7 to 11
Challenge Level

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

Polydron

Age 7 to 11
Challenge Level

This activity investigates how you might make squares and pentominoes from Polydron.

Coordinate Challenge

Age 7 to 11
Challenge Level

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

Dancing with Maths

Age 7 to 16

An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?

The Frieze Tree

Age 11 to 16

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

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!

Prime Magic

Age 7 to 16
Challenge Level

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

Rhombicubocts

Age 11 to 14
Challenge Level

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices. . . .

Symmetrical Semaphore

Age 7 to 11
Challenge Level

Someone at the top of a hill sends a message in semaphore to a friend in the valley. A person in the valley behind also sees the same message. What is it?

Lafayette

Age 7 to 11
Challenge Level

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

Drawing Celtic Knots

Age 11 to 14
Challenge Level

Here is a chance to create some Celtic knots and explore the mathematics behind them.

Building Patterns

Age 7 to 11
Challenge Level

Can you deduce the pattern that has been used to lay out these bottle tops?

Triangle Shapes

Age 5 to 11
Challenge Level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

Symmetry Challenge

Age 7 to 11
Challenge Level

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

Always, Sometimes or Never? Shape

Age 7 to 11
Challenge Level

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

Classifying Solids Using Angle Deficiency

Age 11 to 16
Challenge Level

Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry

Eight Dominoes

Age 7 to 16
Challenge Level

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

Flower Power

Age 11 to 16
Challenge Level

Create a symmetrical fabric design based on a flower motif - and realise it in Logo.