Resources tagged with: Visualising

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There are 183 results

Broad Topics > Thinking Mathematically > Visualising

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?

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.

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?

Open Boxes

Age 7 to 11
Challenge Level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

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?

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.

Seeing Squares for Two

Age 5 to 11
Challenge Level

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

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?

Four Triangles Puzzle

Age 5 to 11
Challenge Level

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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?

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?

World of Tan 16 - Time Flies

Age 7 to 11
Challenge Level

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

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.

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.

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.

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. . . .

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 10 - Butterflies

Age 7 to 11
Challenge Level

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

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?

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 17 - Weather

Age 7 to 11
Challenge Level

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

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?

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,. . . .

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.

Routes 1 and 5

Age 5 to 7
Challenge Level

Find your way through the grid starting at 2 and following these operations. What number do you end on?

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?

Dragons and Swans

Age 5 to 7
Challenge Level

A game for two players. You'll need some counters.

Cover the Camel

Age 5 to 7
Challenge Level

Can you cover the camel with these pieces?

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.

Clocking Off

Age 7 to 16
Challenge Level

I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?

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?

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?

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?

Three Squares

Age 5 to 11
Challenge Level

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

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?

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?

World of Tan 11 - the Past, Present and Future

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of the telescope and microscope?

World of Tan 7 - Golden Goose

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the plaque design?

World of Tan 6 - Junk

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the silhouette of the junk?

World of Tan 18 - Soup

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?

World of Tan 22 - an Appealing Stroll

Age 7 to 11
Challenge Level

Can you fit the tangram pieces into the outline of the child walking home from school?

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?

World of Tan 24 - Clocks

Age 7 to 11
Challenge Level

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

World of Tan 1 - Granma T

Age 7 to 11
Challenge Level

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

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 20 - Fractions

Age 7 to 11
Challenge Level

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

World of Tan 5 - Dragon

Age 7 to 11
Challenge Level

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

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?