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Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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Is a Square a Rectangle?

How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?

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Part the Polygons

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.

Stringy Quads

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
You will need a loop of string for this activity and three other friends.

String (image: iStockphoto.com)
 
Stretch the string out so that each of you is holding a corner to make a quadrilateral.
 
Try to make one which has exactly one line of symmetry.
Is it possible?
How could you convince someone else that your shape has just one line of symmetry?
Can you make any other quadrilaterals with just one line of symmetry?

Try again, but this time answer the same questions for a quadrilateral with exactly two lines of symmetry.

Try again, but this time answer the same questions for a quadrilateral with exactly three lines of symmetry.

Try again, but this time answer the same questions for a quadrilateral with exactly four lines of symmetry.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.