Resources tagged with: Practical Activity

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Broad Topics > Thinking Mathematically > Practical Activity

A Patchwork Piece

Age 7 to 11
Challenge Level

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

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?

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.

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!

Making Maths: Kites and Darts

Age 7 to 11
Challenge Level

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

This Fencing

Age 7 to 11
Challenge Level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

Making Maths: Making a Tangram

Age 7 to 11
Challenge Level

Follow these instructions to make a three-piece and/or seven-piece tangram.

Making Maths: Make a Magic Circle

Age 7 to 11
Challenge Level

Make a mobius band and investigate its properties.

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.

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: Triangular Ball

Age 7 to 11
Challenge Level

Make a ball from triangles!

Square Tangram

Age 7 to 11
Challenge Level

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

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.

Tangrams

Age 5 to 11
Challenge Level

Can you make five differently sized squares from the interactive tangram pieces?

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?

Hoops/rope

Age 7 to 11
Challenge Level

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

Car Journey

Age 7 to 11
Challenge Level

This practical activity involves measuring length/distance.

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?

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.

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?

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?

Triangular Faces

Age 7 to 11
Challenge Level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

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?

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.

Putting Two and Two Together

Age 7 to 11
Challenge Level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

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!

Construct-o-straws

Age 7 to 11
Challenge Level

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

Two Squared

Age 7 to 11
Challenge Level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?

Little Boxes

Age 7 to 11
Challenge Level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

Folding, Cutting and Punching

Age 7 to 11
Challenge Level

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

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 ...

Making Maths: Link-a-cube

Age 7 to 11
Challenge Level

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.

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?

Reef and Granny

Age 7 to 11
Challenge Level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

Four Layers

Age 5 to 11
Challenge Level

Can you create more models that follow these rules?

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?

Escher Tessellations

Age 7 to 11
Challenge Level

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.

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.

Cuboid-in-a-box

Age 7 to 11
Challenge Level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

Matchsticks

Age 7 to 11
Challenge Level

Reasoning about the number of matches needed to build squares that share their sides.

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.

Fencing

Age 7 to 11
Challenge Level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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!

Midpoint Triangle

Age 7 to 11
Challenge Level

Can you cut up a square in the way shown and make the pieces into a triangle?

Sponge Sections

Age 7 to 11
Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Let Us Reflect

Age 7 to 11
Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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?

Two by One

Age 7 to 11
Challenge Level

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