# Resources tagged with: Practical Activity

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### There are 151 results

Broad Topics > Thinking Mathematically > Practical Activity

### Which Solids Can We Make?

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

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

### Making Maths: Equilateral Triangle Folding

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

Make an equilateral triangle by folding paper and use it to make patterns of your own.

### Making Maths: Clinometer

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

You can use a clinometer to measure the height of tall things that you can't possibly reach to the top of, Make a clinometer and use it to help you estimate the heights of tall objects.

### First Forward Into Logo 2: Polygons

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

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

### First Forward Into Logo 4: Circles

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

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

### First Forward Into Logo 5: Pen Up, Pen Down

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

Learn about Pen Up and Pen Down in Logo

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

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

### 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...

### Sports Equipment

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

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

### Jig Shapes

##### Age 5 to 11 Challenge Level:

Can you each work out what shape you have part of on your card? What will the rest of it look like?

### Getting an Angle

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

How can you make an angle of 60 degrees by folding a sheet of paper twice?

### Making Maths: Stars

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

Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?

##### Age 11 to 18

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

### Constructing Triangles

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

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

### 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!

### Making Maths: Test the Strength of a Triangle

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

Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.

### Making Rectangles, Making Squares

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

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

### A Patchwork Piece

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

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

### Whirling Fibonacci Squares

##### Age 11 to 16

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

### Notes on a Triangle

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

Can you describe what happens in this film?

### 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?

### Shaping Up

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

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

### Folding

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

What shapes can you make by folding an A4 piece of paper?

### Paper Curves

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

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

### 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?

### Square Corners

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

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

### 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!

### First Forward Into Logo 8: More about Variables

##### Age 11 to 18 Challenge Level:

Write a Logo program, putting in variables, and see the effect when you change the variables.

### 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.

### Making Maths: Make a Pendulum

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

Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

### Back to the Practical?

##### Age 7 to 14

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

### Making Maths: A-maze-ing

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

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

### Straight to Curves

##### Age 5 to 11 Challenge Level:

How can you make a curve from straight strips of paper?

### First Forward Into Logo 12: Puzzling Sums

##### Age 11 to 18 Challenge Level:

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

### Rolling Triangle

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

The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.

### Jomista Mat

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

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

### Paper Folding - Models of the Platonic Solids

##### Age 11 to 16

A description of how to make the five Platonic solids out of paper.

### First Forward Into Logo 10: Count up - Count Down

##### Age 11 to 18 Challenge Level:

What happens when a procedure calls itself?

### Egyptian Rope

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

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?

### Fractional Triangles

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

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

### Sea Defences

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

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

### Making Maths: String and Circles

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

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

### Turning the Place Over

##### Age 11 to 18 Challenge Level:

As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?

### Modular Origami Polyhedra

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

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

### Two by One

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

An activity making various patterns with 2 x 1 rectangular tiles.

### Tangram Pictures

##### Age 5 to 14 Challenge Level:

Use the tangram pieces to make our pictures, or to design some of your own!

### Marbles

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

I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?

### First Forward Into Logo 9: Stars

##### Age 11 to 18 Challenge Level:

Turn through bigger angles and draw stars with Logo.

### Making Maths: Walking Through a Playing Card?

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

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?