Resources tagged with: Practical Activity

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Broad Topics > Thinking Mathematically > Practical Activity

Making Maths: Equilateral Triangle Folding

Age 7 to 14Challenge Level

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

Getting an Angle

Age 11 to 14Challenge Level

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

Which Solids Can We Make?

Age 11 to 14Challenge 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: Clinometer

Age 11 to 14Challenge 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.

Rolling Triangle

Age 11 to 14Challenge 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.

Nine Colours

Age 11 to 16Challenge Level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Sea Defences

Age 7 to 14Challenge 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?

First Forward Into Logo 5: Pen Up, Pen Down

Age 7 to 16Challenge Level

Learn about Pen Up and Pen Down in Logo

First Forward Into Logo 4: Circles

Age 7 to 16Challenge Level

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

Triangles to Tetrahedra

Age 11 to 14Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Cubic Conundrum

Age 7 to 16Challenge Level

Which of the following cubes can be made from these nets?

Tower of Hanoi

Age 11 to 14Challenge Level

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Factors and Multiples Game

Age 7 to 16Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

Whirling Fibonacci Squares

Age 11 to 16

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

First Forward Into Logo 2: Polygons

Age 7 to 16Challenge Level

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

Drawing Celtic Knots

Age 11 to 14Challenge Level

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

Tangram Pictures

Age 5 to 14Challenge Level

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

Attractive Rotations

Age 11 to 14Challenge 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...

First Forward Into Logo 9: Stars

Age 11 to 18Challenge Level

Turn through bigger angles and draw stars with Logo.

Amazing Card Trick

Age 11 to 14Challenge Level

How is it possible to predict the card?

Constructing Triangles

Age 11 to 14Challenge Level

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

First Forward Into Logo 7: Angles of Polygons

Age 11 to 18Challenge Level

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

Celtic Knotwork Patterns

Age 7 to 14

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

Factors and Multiples Game for Two

Age 7 to 14Challenge Level

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Making Maths: Walking Through a Playing Card?

Age 7 to 14Challenge 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?

Marbles

Age 11 to 14Challenge 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?

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: Snake Pits

Age 5 to 14Challenge Level

A game to make and play based on the number line.

More Marbles

Age 11 to 14Challenge Level

I start with a red, a blue, a green and a yellow marble. I can trade any of my marbles for three others, one of each colour. Can I end up with exactly two marbles of each colour?

Cunning Card Trick

Age 11 to 14Challenge Level

Delight your friends with this cunning trick! Can you explain how it works?

Paper Folding - Models of the Platonic Solids

Age 11 to 16

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

Factors and Multiples Puzzle

Age 11 to 14Challenge Level

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Fractions Jigsaw

Age 11 to 14Challenge Level

A jigsaw where pieces only go together if the fractions are equivalent.

Sociable Cards

Age 11 to 14Challenge Level

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Age 7 to 14Challenge Level

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

Modular Origami Polyhedra

Age 7 to 16Challenge 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.

Witch's Hat

Age 11 to 16Challenge Level

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Notes on a Triangle

Age 11 to 14Challenge Level

Can you describe what happens in this film?

Cool as Ice

Age 11 to 16Challenge Level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

Gym Bag

Age 11 to 16Challenge Level

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Straw Scaffold

Age 11 to 14Challenge Level

Build a scaffold out of drinking-straws to support a cup of water

Turning the Place Over

Age 11 to 18Challenge 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?

Well Balanced

Age 5 to 18Challenge Level

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.

Making Maths: Archimedes' Spiral

Age 7 to 14Challenge Level

Make a spiral mobile.

Making Maths: String and Circles

Age 7 to 14Challenge 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.

Making Maths: Double-sided Magic Square

Age 7 to 14Challenge Level

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

First Forward Into Logo 6: Variables and Procedures

Age 11 to 18Challenge Level

Learn to write procedures and build them into Logo programs. Learn to use variables.

First Forward Into Logo 11: Sequences

Age 11 to 18Challenge Level

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

Making Rectangles, Making Squares

Age 11 to 14Challenge Level

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