# Resources tagged with: 2D shapes and their properties

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### There are 56 results

Broad Topics > Angles, Polygons, and Geometrical Proof > 2D shapes and their properties

### Poly Plug Rectangles

##### Age 5 to 11Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

### Shaping It

##### Age 5 to 11Challenge Level

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

### Sorting Logic Blocks

##### Age 5 to 11Challenge Level

This activity focuses on similarities and differences between shapes.

### What Shape?

##### Age 7 to 14Challenge Level

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

### Jig Shapes

##### Age 5 to 11Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

### Overlapping Again

##### Age 7 to 11Challenge Level

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

### Torn Shapes

##### Age 7 to 11Challenge Level

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

### Board Block Challenge

##### Age 7 to 11Challenge Level

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

### Efficient Cutting

##### Age 11 to 14Challenge Level

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

### Rolling Around

##### Age 11 to 14Challenge Level

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

### Where Are They?

##### Age 7 to 11Challenge Level

Use the isometric grid paper to find the different polygons.

### Blue and White

##### Age 11 to 14Challenge Level

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

### Hex

##### Age 11 to 14Challenge Level

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

### Going Deeper: Achieving Greater Depth with Geometry

##### Age 5 to 11

This article for Primary teachers outlines how providing opportunities to engage with increasingly complex problems, and to communicate thinking, can help learners 'go deeper' with geometry.

### Data Duos

##### Age 7 to 11Challenge Level

Can you match the Venn diagram with the Carroll diagram that shows the same information?

### Let's Get Flexible with Geometry

##### Age 5 to 11

In this article for primary teachers, Ems explores ways to develop mathematical flexibility through geometry.

### Possible Pairs

##### Age 7 to 11Challenge Level

In this game, you turn over two cards and try to draw a triangle which has both properties.

### Name That Triangle!

##### Age 7 to 11Challenge Level

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

### Triangle in a Square

##### Age 7 to 11Challenge Level

Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?

### 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?

### What Shape for Two

##### Age 7 to 14Challenge Level

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?

### Gym Bag

##### Age 11 to 16Challenge Level

Can Jo make a gym bag for her trainers from the piece of fabric she has?

### Witch's Hat

##### Age 11 to 16Challenge Level

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

### Sports Equipment

##### Age 7 to 11Challenge Level

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

### Opposite Vertices

##### Age 11 to 14Challenge Level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

### Shaping Up

##### Age 7 to 11Challenge Level

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

### What's Inside/outside/under the Box?

##### Age 7 to 14

This article describes investigations that offer opportunities for children to think differently, and pose their own questions, about shapes.

### Like a Circle in a Spiral

##### Age 7 to 16Challenge Level

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

### Triangular Hexagons

##### Age 7 to 11Challenge Level

Investigate these hexagons drawn from different sized equilateral triangles.

### LOGO Challenge 12 - Concentric Circles

##### Age 11 to 16Challenge Level

Can you reproduce the design comprising a series of concentric circles? Test your understanding of the realtionship betwwn the circumference and diameter of a circle.

### LOGO Challenge 11 - More on Circles

##### Age 11 to 16Challenge Level

Thinking of circles as polygons with an infinite number of sides - but how does this help us with our understanding of the circumference of circle as pi x d? This challenge investigates. . . .

### First Forward Into Logo 4: Circles

##### Age 7 to 16Challenge Level

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

### Circle Panes

##### Age 7 to 11Challenge Level

Look at the mathematics that is all around us - this circular window is a wonderful example.

### Lafayette

##### Age 7 to 11Challenge Level

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

### Circles, Circles Everywhere

##### Age 7 to 14

This article for pupils gives some examples of how circles have featured in people's lives for centuries.

### From One Shape to Another

##### Age 7 to 14

Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.

### Pi, a Very Special Number

##### Age 7 to 14

Read all about the number pi and the mathematicians who have tried to find out its value as accurately as possible.

### Overlapping Circles

##### Age 7 to 11Challenge Level

What shaped overlaps can you make with two circles which are the same size?

### Shapely Tiling

##### Age 7 to 11Challenge Level

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?

### Bow Tie

##### Age 11 to 14Challenge Level

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

### LOGO Challenge 8 - Rhombi

##### Age 7 to 16Challenge Level

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

### LOGO Challenge 2 - Diamonds Are Forever

##### Age 7 to 16Challenge Level

The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.

### LOGO Challenge 6 - Triangles and Stars

##### Age 11 to 16Challenge Level

Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.

### LOGO Challenge - Circles as Animals

##### Age 11 to 16Challenge Level

See if you can anticipate successive 'generations' of the two animals shown here.

### LOGO Challenge 10 - Circles

##### Age 11 to 16Challenge Level

In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.

### Arclets Explained

##### Age 11 to 16

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

### Count the Trapeziums

##### Age 7 to 11Challenge Level

How many trapeziums, of various sizes, are hidden in this picture?

### Playground Snapshot

##### Age 7 to 14Challenge Level

The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?

### Squaring the Circle

##### Age 11 to 14Challenge Level

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make. . . .

### 2001 Spatial Oddity

##### Age 11 to 14Challenge Level

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.