Can you draw a square in which the perimeter is numerically equal
to the area?
How many rectangles can you find in this shape? Which ones are
differently sized and which are 'similar'?
How many DIFFERENT quadrilaterals can be made by joining the dots
on the 8-point circle?
I cut this square into two different shapes. What can you say about
the relationship between them?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Use the information on these cards to draw the shape that is being described.
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
What shapes can you make by folding an A4 piece of paper?
A task which depends on members of the group noticing the needs of
others and responding.
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Billy's class had a robot called Fred who could draw with chalk
held underneath him. What shapes did the pupils make Fred draw?
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
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.
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Four rods, two of length a and two of length b, are linked to form
a kite. The linkage is moveable so that the angles change. What is
the maximum area of the kite?
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?
Find the missing coordinates which will form these eight
quadrilaterals. These coordinates themselves will then form a shape
with rotational and line symmetry.
A game for 2 or more people, based on the traditional card game
Rummy. Players aim to make two `tricks', where each trick has to
consist of a picture of a shape, a name that describes that shape,
and. . . .
A game in which players take it in turns to try to draw
quadrilaterals (or triangles) with particular properties. Is it
possible to fill the game grid?
Derive a formula for finding the area of any kite.
A game in which players take it in turns to turn up two cards. If
they can draw a triangle which satisfies both properties they win
the pair of cards. And a few challenging questions to follow...
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Can you draw the shape that is being described by these cards?
This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.