# Resources tagged with: Practical Activity

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### There are 151 results

Broad Topics > Mathematical Thinking > Practical Activity

### Cool as Ice

##### Age 11 to 16 Challenge Level:

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

### Straw Scaffold

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

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

### Purposeful Paper Folding

##### Age 5 to 11

In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.

### Cubic Conundrum

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

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

### 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!

### 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?

### Make Your Own Pencil Case

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

What shape would fit your pens and pencils best? How can you make it?

### Making Maths: Archimedes' Spiral

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

Make a spiral mobile.

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

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

### It's a Fence!

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

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

### Making Maths: Celtic Knot Tiles

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

Make some celtic knot patterns using tiling techniques

### 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.

### 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.

### 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?

### A Patchwork Piece

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

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

### Paper Folding - Models of the Platonic Solids

##### Age 11 to 16

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

### 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?

### Gym Bag

##### Age 11 to 16 Challenge Level:

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

### 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?

### Next Size Up

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

The challenge for you is to make a string of six (or more!) graded cubes.

### Folding Flowers 1

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

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

### Nine Colours

##### Age 11 to 16 Challenge 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?

### Plaiting and Braiding

##### 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!

### Folding, Cutting and Punching

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

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

### 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?

### Straight to Curves

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

How can you make a curve from straight strips 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.

### Folding Flowers 2

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

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

### 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 ...

### Triangles to Tetrahedra

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

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

### First Forward Into Logo 7: Angles of Polygons

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

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

### 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.

### Pyramid Numbers

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

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

### 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.

### 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?

### 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.

### Making Cuboids

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

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

### Hoops/rope

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

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

### 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?

### 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?

### Cereal Packets

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

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

### First Forward Into Logo 9: Stars

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

Turn through bigger angles and draw stars with Logo.

### Construct-o-straws

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

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

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

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

Learn about Pen Up and Pen Down in Logo

### 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?

### 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.

### Tower of Hanoi

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

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

### Bryony's Triangle

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

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?