Resources tagged with: Practical Activity

Filter by: Content type:
Age range:
Challenge level:

There are 153 results

Broad Topics > Thinking Mathematically > Practical Activity

Fencing

Age 7 to 11Challenge Level

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

Fit These Shapes

Age 5 to 11Challenge Level

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

Cutting Corners

Age 7 to 11Challenge 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?

Triangle Shapes

Age 5 to 11Challenge Level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

Four Layers

Age 5 to 11Challenge Level

Can you create more models that follow these rules?

Triangle Relations

Age 7 to 11Challenge Level

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

Two Squared

Age 7 to 11Challenge 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 11Challenge Level

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

The Numbers Give the Design

Age 7 to 11Challenge Level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

Age 7 to 11Challenge Level

We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.

It's a Fence!

Age 5 to 11Challenge Level

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

How Tall?

Age 5 to 11Challenge Level

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

Escher Tessellations

Age 7 to 11Challenge Level

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

Cover the Tray

Age 7 to 11Challenge Level

These practical challenges are all about making a 'tray' and covering it with paper.

Tri.'s

Age 7 to 11Challenge Level

How many triangles can you make on the 3 by 3 pegboard?

Putting Two and Two Together

Age 7 to 11Challenge 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?

Four Colours

Age 5 to 11Challenge Level

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Creating Cubes

Age 7 to 11Challenge Level

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

Sticks and Triangles

Age 7 to 11Challenge Level

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

Age 7 to 11Challenge Level

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Egyptian Rope

Age 7 to 11Challenge 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?

Two by One

Age 7 to 11Challenge Level

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

Pyramid Numbers

Age 7 to 11Challenge Level

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

Three Sets of Cubes, Two Surfaces

Age 7 to 11Challenge Level

How many models can you find which obey these rules?

Counter Ideas

Age 7 to 11Challenge Level

Here are some ideas to try in the classroom for using counters to investigate number patterns.

Two on Five

Age 5 to 11Challenge Level

Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

Shaping Up

Age 7 to 11Challenge Level

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

Domino Sets

Age 7 to 11Challenge Level

How do you know if your set of dominoes is complete?

Square Corners

Age 7 to 11Challenge 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?

Construct-o-straws

Age 7 to 11Challenge Level

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

Cereal Packets

Age 7 to 11Challenge Level

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

Making Maths: Be a Mathemagician

Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

Making Cuboids

Age 7 to 11Challenge 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?

Counting Counters

Age 7 to 11Challenge Level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

Making Maths: Birds from an Egg

Age 7 to 11Challenge Level

Can you make the birds from the egg tangram?

Dice Stairs

Age 7 to 11Challenge Level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

Tangrams

Age 5 to 11Challenge Level

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

Map Folding

Age 7 to 11Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

Age 7 to 11Challenge Level

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

Cuboid-in-a-box

Age 7 to 11Challenge 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?

Cuisenaire Squares

Age 7 to 11Challenge Level

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Jig Shapes

Age 5 to 11Challenge Level

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

Folding

Age 7 to 11Challenge Level

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

Car Journey

Age 7 to 11Challenge Level

This practical activity involves measuring length/distance.

Cut and Make

Age 7 to 11Challenge 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?

Order the Changes

Age 7 to 11Challenge Level

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

Bryony's Triangle

Age 7 to 11Challenge 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?

Polydron

Age 7 to 11Challenge Level

This activity investigates how you might make squares and pentominoes from Polydron.

This Fencing

Age 7 to 11Challenge Level

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

Sponge Sections

Age 7 to 11Challenge 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.