Resources tagged with: Visualising

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

There are 255 results

Broad Topics > Thinking Mathematically > Visualising

Inside Seven Squares

Age 7 to 11
Challenge Level

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

Fred the Class Robot

Age 7 to 11
Challenge Level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

Midpoint Triangle

Age 7 to 11
Challenge Level

Can you cut up a square in the way shown and make the pieces into a triangle?

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.

Hexagon Transformations

Age 7 to 11
Challenge Level

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

Folding Flowers 2

Age 7 to 11
Challenge Level

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

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?

Folding Flowers 1

Age 7 to 11
Challenge Level

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

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?

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!

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?

Part the Polygons

Age 7 to 11 Short
Challenge Level

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.

Reef and Granny

Age 7 to 11
Challenge Level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

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 Square in a Circle

Age 7 to 11
Challenge Level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?

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?

Wrapping Presents

Age 7 to 11
Challenge Level

Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.

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 ...

Square to L

Age 7 to 11
Challenge Level

Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.

Three Squares

Age 5 to 11
Challenge Level

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

Regular Rings 2

Age 7 to 11
Challenge Level

What shape is made when you fold using this crease pattern? Can you make a ring design?

Putting Two and Two Together

Age 7 to 11
Challenge 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?

Folding, Cutting and Punching

Age 7 to 11
Challenge Level

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

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.

Matchsticks

Age 7 to 11
Challenge Level

Reasoning about the number of matches needed to build squares that share their sides.

Construct-o-straws

Age 7 to 11
Challenge Level

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

Quadrilaterals

Age 7 to 11
Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Fractional Triangles

Age 7 to 11
Challenge Level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Nine-pin Triangles

Age 7 to 11
Challenge Level

How many different triangles can you make on a circular pegboard that has nine pegs?

Diagrams

Age 7 to 11
Challenge Level

A group activity using visualisation of squares and triangles.

Square Surprise

Age 5 to 11
Challenge Level

Why do you think that the red player chose that particular dot in this game of Seeing Squares?

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?

Square Corners

Age 7 to 11
Challenge 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?

Cuboid-in-a-box

Age 7 to 11
Challenge 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?

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 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?

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?

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 5 - Dragon

Age 7 to 11
Challenge Level

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

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.

World of Tan 20 - Fractions

Age 7 to 11
Challenge Level

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

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.

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?

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.

World of Tan 24 - Clocks

Age 7 to 11
Challenge Level

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

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 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 28 - Concentrating on Coordinates

Age 7 to 11
Challenge Level

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

Framed

Age 11 to 14
Challenge Level

Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of. . . .

Redblue

Age 7 to 11
Challenge Level

Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?