Resources tagged with: Practical Activity

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Broad Topics > Thinking Mathematically > Practical Activity

Take One Metre

Age 5 to 7
Challenge Level

You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?

Car Journey

Age 7 to 11
Challenge Level

This practical activity involves measuring length/distance.

Sizing Them Up

Age 5 to 7
Challenge Level

Can you put these shapes in order of size? Start with the smallest.

Triangle Relations

Age 7 to 11
Challenge Level

What do these two triangles have in common? How are they related?

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?

Paper Patchwork 1

Age 5 to 7
Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

How Tall?

Age 5 to 11
Challenge Level

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

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.

Cutting Corners

Age 7 to 11
Challenge Level

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Shapely Lines

Age 5 to 7
Challenge Level

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

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.

Thirsty?

Age 5 to 7
Challenge Level

Can you lay out the pictures of the drinks in the way described by the clue cards?

Folding, Cutting and Punching

Age 7 to 11
Challenge Level

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

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.

Hoops/rope

Age 7 to 11
Challenge Level

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

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!

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.

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: 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: 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: 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?

It's a Tie

Age 7 to 11
Challenge Level

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Halving

Age 5 to 7
Challenge Level

These pictures show squares split into halves. Can you find other ways?

Chairs and Tables

Age 5 to 7
Challenge Level

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Happy Halving

Age 5 to 7
Challenge Level

Can you split each of the shapes below in half so that the two parts are exactly the same?

Making Maths: Triangular Ball

Age 7 to 11
Challenge Level

Make a ball from triangles!

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?

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?

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?

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 ...

Folding Flowers 1

Age 7 to 11
Challenge Level

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

Paper Patchwork 2

Age 5 to 7
Challenge Level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

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.

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?

A Patchwork Piece

Age 7 to 11
Challenge Level

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

Folding Flowers 2

Age 7 to 11
Challenge Level

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

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.

Exploded Squares

Age 5 to 7
Challenge Level

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

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.

Seven Sticks

Age 5 to 7
Challenge Level

Explore the triangles that can be made with seven sticks of the same length.

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.

Building with Solid Shapes

Age 5 to 7
Challenge Level

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Tessellating Capitals

Age 5 to 7
Challenge Level

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.

Rearrange the Square

Age 5 to 7
Challenge Level

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

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.

Compare the Cups

Age 5 to 7
Challenge Level

You'll need a collection of cups for this activity.

Cut and Make

Age 7 to 11
Challenge Level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

Construct-o-straws

Age 7 to 11
Challenge Level

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