Resources tagged with: Visualising

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Broad Topics > Thinking Mathematically > Visualising

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. . . .

The Triangle Game

Age 11 to 16
Challenge Level

Can you discover whether this is a fair game?

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?

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?

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.

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?

LOGO Challenge - Triangles-squares-stars

Age 11 to 16
Challenge Level

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

Three Squares

Age 5 to 11
Challenge Level

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

Coded Hundred Square

Age 7 to 11
Challenge Level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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?

Christmas Chocolates

Age 11 to 14
Challenge Level

How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

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?

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?

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?

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.

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?

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 17 - Weather

Age 7 to 11
Challenge Level

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

World of Tan 16 - Time Flies

Age 7 to 11
Challenge Level

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

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.

Square It

Age 11 to 16
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.

Khun Phaen Escapes to Freedom

Age 11 to 14
Challenge Level

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

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?

Isosceles Triangles

Age 11 to 14
Challenge Level

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

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.

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?

Picturing Triangular Numbers

Age 11 to 14
Challenge Level

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

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.

Shady Symmetry

Age 11 to 14
Challenge Level

How many different symmetrical shapes can you make by shading triangles or squares?

Hidden Rectangles

Age 11 to 14
Challenge Level

Rectangles are considered different if they vary in size or have different locations. How many different rectangles can be drawn on a chessboard?

World of Tan 25 - Pentominoes

Age 7 to 11
Challenge Level

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

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 29 - the Telephone

Age 7 to 11
Challenge Level

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

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 15 - Millennia

Age 7 to 11
Challenge Level

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

Go Moku

Age 7 to 11
Challenge Level

A game for two players on a large squared space.

World of Tan 30 - Logical Thinking

Age 7 to 11
Challenge Level

Can you logically construct these silhouettes using the tangram pieces?

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

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 12 - All in a Fluff

Age 7 to 11
Challenge Level

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

Display Boards

Age 7 to 11
Challenge Level

Design an arrangement of display boards in the school hall which fits the requirements of different people.

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?