Other tags that relate to Hexagon Transformations
Investigations. Practical Activity. Tangram. Visualising. Regular polygons and circles. Working systematically. Quadrilaterals. 2D shapes and their properties. Cubes & cuboids. Triangles.There are 54 results
Broad Topics > Angles, Polygons, and Geometrical Proof > 2D shapes and their properties
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?
Possible Pairs
Age 7 to 11
Challenge Level
In this game, you turn over two cards and try to draw a triangle which has both properties.
Sorting Logic Blocks
Age 5 to 11
Challenge Level
This activity focuses on similarities and differences between shapes.
Where Are They?
Age 7 to 11
Challenge Level
Use the isometric grid paper to find the different polygons.
Jig Shapes
Age 5 to 11
Challenge Level
Can you each work out what shape you have part of on your card? What will the rest of it look like?
Shaping Up
Age 7 to 11
Challenge Level
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
Circle Panes
Age 7 to 11
Challenge Level
Look at the mathematics that is all around us - this circular window is a wonderful example.
Name That Triangle!
Age 7 to 11
Challenge Level
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Overlapping Again
Age 7 to 11
Challenge 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.
Shaping It
Age 5 to 11
Challenge 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.
Torn Shapes
Age 7 to 11
Challenge Level
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Count the Trapeziums
Age 7 to 11
Challenge Level
How many trapeziums, of various sizes, are hidden in this picture?
Sports Equipment
Age 7 to 11
Challenge 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?
Triangular Hexagons
Age 7 to 11
Challenge Level
Investigate these hexagons drawn from different sized equilateral triangles.
Two by One
Age 7 to 11
Challenge Level
An activity making various patterns with 2 x 1 rectangular tiles.
Shapely Tiling
Age 7 to 11
Challenge 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?
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?
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.
Overlapping Circles
Age 7 to 11
Challenge Level
What shaped overlaps can you make with two circles which are the same size?
Lafayette
Age 7 to 11
Challenge Level
What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?
Poly Plug Rectangles
Age 5 to 14
Challenge 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?
Opposite Vertices
Age 11 to 14
Challenge Level
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Data Duos
Age 7 to 11
Challenge Level
Can you match the Venn diagram with the Carroll diagram that shows the same information?
LOGO Challenge 8 - Rhombi
Age 7 to 16
Challenge Level
Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
Efficient Cutting
Age 11 to 14
Challenge 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.
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.
Board Block Challenge
Age 7 to 11
Challenge Level
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
First Forward Into Logo 4: Circles
Age 7 to 16
Challenge Level
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Lying and Cheating
Age 11 to 14
Challenge Level
Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!
Blue and White
Age 11 to 14
Challenge Level
Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
What Shape?
Age 7 to 14
Challenge 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.
2001 Spatial Oddity
Age 11 to 14
Challenge 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.
Bow Tie
Age 11 to 14
Challenge 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.
Not So Little X
Age 11 to 14
Challenge Level
Two circles are enclosed by a rectangle 12 units by x units. The distance between the centres of the two circles is x/3 units. How big is x?
Squaring the Circle
Age 11 to 14
Challenge 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. . . .
Witch's Hat
Age 11 to 16
Challenge Level
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Gym Bag
Age 11 to 16
Challenge Level
Can Jo make a gym bag for her trainers from the piece of fabric she has?
What Shape for Two
Age 7 to 14
Challenge Level
'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?
Square Areas
Age 11 to 14
Challenge Level
Can you work out the area of the inner square and give an explanation of how you did it?
LOGO Challenge 10 - Circles
Age 11 to 16
Challenge 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.
LOGO Challenge 2 - Diamonds Are Forever
Age 7 to 16
Challenge 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.
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.
LOGO Challenge 6 - Triangles and Stars
Age 11 to 16
Challenge 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 11 - More on Circles
Age 11 to 16
Challenge 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. . . .
LOGO Challenge 12 - Concentric Circles
Age 11 to 16
Challenge 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 - Circles as Animals
Age 11 to 16
Challenge Level
See if you can anticipate successive 'generations' of the two animals shown here.
Like a Circle in a Spiral
Age 7 to 16
Challenge 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?
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.
Playground Snapshot
Age 7 to 14
Challenge 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?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.