# Resources tagged with: Visualising

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### There are 255 results

Broad Topics > Thinking Mathematically > Visualising

### Midpoint Triangle

##### Age 7 to 11Challenge Level

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

### 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.

### Regular Rings 2

##### Age 7 to 11Challenge Level

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

### Jomista Mat

##### Age 7 to 11Challenge Level

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

### Fractional Triangles

##### Age 7 to 11Challenge 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.

### Let Us Reflect

##### Age 7 to 11Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

### 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?

### Construct-o-straws

##### Age 7 to 11Challenge Level

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

### Reef and Granny

##### Age 7 to 11Challenge 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?

### Hexagon Transformations

##### Age 7 to 11Challenge Level

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

### Triangular Faces

##### Age 7 to 11Challenge Level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

### Matchsticks

##### Age 7 to 11Challenge Level

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

### Regular Rings 1

##### Age 7 to 11Challenge 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?

### Folding Flowers 1

##### Age 7 to 11Challenge Level

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

### Move Those Halves

##### Age 7 to 11Challenge 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 ...

### Making Maths: Rolypoly

##### Age 5 to 11Challenge Level

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

##### Age 7 to 11Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

### A Square in a Circle

##### Age 7 to 11Challenge 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?

### Folding, Cutting and Punching

##### Age 7 to 11Challenge Level

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

### Folding Flowers 2

##### Age 7 to 11Challenge Level

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

### Shape Mapping

##### Age 7 to 11Challenge Level

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?

### A Puzzling Cube

##### Age 7 to 11Challenge Level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

### Peg Rotation

##### Age 7 to 11Challenge Level

Can you work out what kind of rotation produced this pattern of pegs in our pegboard?

### Wrapping Presents

##### Age 7 to 11Challenge Level

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

### More Building with Cubes

##### Age 7 to 11Challenge Level

Here are more buildings to picture in your mind's eye. Watch out - they become quite complicated!

### Purposeful Paper Folding

##### Age 5 to 11

In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.

### Green Cube, Yellow Cube

##### Age 7 to 11Challenge Level

How can you paint the faces of these eight cubes so they can be put together to make a 2 x 2 x 2 cube that is green all over AND a 2 x 2 x 2 cube that is yellow all over?

### Dicey

##### Age 7 to 11Challenge Level

A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?

### Square Surprise

##### Age 5 to 11Challenge Level

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

### Holes

##### Age 5 to 11Challenge Level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

### Diagrams

##### Age 7 to 11Challenge Level

A group activity using visualisation of squares and triangles.

### Square to L

##### Age 7 to 11Challenge 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.

### Painted Faces

##### Age 7 to 11Challenge Level

Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?

### Tetrahedron Faces

##### Age 7 to 11Challenge Level

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?

### Music to My Ears

##### Age 7 to 11Challenge 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?

### Cube Drilling

##### Age 7 to 11Challenge Level

Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?

### 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?

### Flip

##### Age 7 to 11Challenge Level

Can you picture where this letter "F" will be on the grid if you flip it in these different ways?

### Constructing Triangles

##### Age 11 to 14Challenge Level

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

### Redblue

##### Age 7 to 11Challenge 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?

### 28 - Upward and Onward

##### Age 7 to 11Challenge Level

Can you find ways of joining cubes together so that 28 faces are visible?

### More Pebbles

##### Age 7 to 11Challenge Level

Have a go at this 3D extension to the Pebbles problem.

### Triple Cubes

##### Age 5 to 11Challenge Level

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

### World of Tan 19 - A Circular Problem

##### Age 7 to 11Challenge Level

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

### World of Tan 10 - Butterflies

##### Age 7 to 11Challenge Level

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

### Trace the Edges

##### Age 7 to 11Challenge Level

On which of these shapes can you trace a path along all of its edges, without going over any edge twice?

### World of Tan 16 - Time Flies

##### Age 7 to 11Challenge Level

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

### Inside Seven Squares

##### Age 7 to 11Challenge Level

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

### World of Tan 29 - the Telephone

##### Age 7 to 11Challenge Level

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

### World of Tan 8 - Sports Car

##### Age 7 to 11Challenge Level

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