Resources tagged with: Visualising

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

There are 255 results

Broad Topics > Thinking Mathematically > Visualising

Colour Wheels

Age 7 to 11
Challenge Level

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Cogs

Age 11 to 14
Challenge Level

A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .

Counters

Age 7 to 11
Challenge Level

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

Cuboids

Age 11 to 14
Challenge Level

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Waiting for Blast Off

Age 7 to 11
Challenge Level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

Three Squares

Age 5 to 11
Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

Painting Possibilities

Age 7 to 11
Challenge Level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

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?

Counter Roundup

Age 7 to 11
Challenge Level

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

World of Tan 17 - Weather

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the house?

World of Tan 13 - A Storm in a Tea Cup

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the convex shapes?

Shunting Puzzle

Age 7 to 11
Challenge Level

Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?

Jigsaw Pieces

Age 7 to 11
Challenge Level

How will you go about finding all the jigsaw pieces that have one peg and one hole?

World of Tan 19 - A Circular Problem

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of this teacup?

World of Tan 10 - Butterflies

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the butterfly?

How Would We Count?

Age 5 to 11
Challenge Level

An activity centred around observations of dots and how we visualise number arrangement patterns.

World of Tan 16 - Time Flies

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the candle?

Knight's Swap

Age 7 to 11
Challenge Level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

The Triangle Game

Age 11 to 16
Challenge Level

Can you discover whether this is a fair game?

Seeing Squares

Age 5 to 11
Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

World of Tan 25 - Pentominoes

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the people?

World of Tan 21 - Almost There Now

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?

World of Tan 3 - Mah Ling

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of Mah Ling?

The Development of Spatial and Geometric Thinking: the Importance of Instruction.

Age 5 to 11

This article looks at levels of geometric thinking and the types of activities required to develop this thinking.

Multiplication Series: Illustrating Number Properties with Arrays

Age 5 to 11

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

Taking Steps

Age 7 to 11
Challenge Level

In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.

Sliding Puzzle

Age 11 to 16
Challenge Level

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

Put Yourself in a Box

Age 7 to 11
Challenge Level

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.

Right or Left?

Age 7 to 11
Challenge Level

Which of these dice are right-handed and which are left-handed?

Twice as Big?

Age 7 to 11
Challenge Level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Penta Play

Age 7 to 11
Challenge Level

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

Map Folding

Age 7 to 11
Challenge 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?

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?

Endless Noughts and Crosses

Age 7 to 11
Challenge Level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

World of Tan 29 - the Telephone

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the telephone?

Single Track

Age 7 to 11
Challenge Level

What is the best way to shunt these carriages so that each train can continue its journey?

World of Tan 8 - Sports Car

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the sports car?

World of Tan 26 - Old Chestnut

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the brazier for roasting chestnuts?

World of Tan 9 - Animals

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the camel and giraffe?

World of Tan

Age 5 to 11
Challenge Level

Read about the adventures of Granma T and her grandchildren in this series of stories, accompanied by interactive tangrams.

World of Tan 4 - Monday Morning

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of Wai Ping, Wu Ming and Chi Wing?

World of Tan 5 - Dragon

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the dragon?

Squares in Rectangles

Age 11 to 14
Challenge Level

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?

World of Tan 20 - Fractions

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the chairs?

World of Tan 12 - All in a Fluff

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the rabbits?

World of Tan 1 - Granma T

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of Granma T?

Go Moku

Age 7 to 11
Challenge Level

A game for two players on a large squared space.

World of Tan 24 - Clocks

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the clock?

Music to My Ears

Age 7 to 11
Challenge Level

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

World of Tan 28 - Concentrating on Coordinates

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the playing piece?