Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Can you help the children in Mrs Trimmer's class make different
shapes out of a loop of string?
Complete the squares - but be warned some are trickier than they
Can you draw perpendicular lines without using a protractor?
Investigate how this is possible.
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Can you reproduce the Yin Yang symbol using a pair of compasses?
Can you mark 4 points on a flat surface so that there are only two
different distances between them?
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?
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...
Construct this design using only compasses
Can you work out the fraction of the original triangle that is
covered by the inner triangle?
Construct a line parallel to one side of a triangle so that the
triangle is divided into two equal areas.
Change the squares in this diagram and spot the property that stays
the same for the triangles. Explain...
Explain how to construct a regular pentagon accurately using a
straight edge and compass.
Join in this ongoing research. Build squares on the sides of a
triangle, join the outer vertices forming hexagons, build further
rings of squares and quadrilaterals, investigate.
Rukmini and Tom demonstrate two different ways to solve this problem.
Cong explained his reasoning for this solution very carefully.
Figures of Eight came out nicely; using some good ideas about area ratio and a very efficient spreadsheet.
Christopher and Tim used different methods, one by solving equations, the other using vector and scalar products.
Gillian Hatch analyses what goes on when mathematical games are
used as a pedagogic device.
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 two properties of the shape.