Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Can you make these equilateral triangles fit together to cover the
paper without any gaps between them? Can you tessellate isosceles
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
Many schools that I have worked in, which is quite a lot, have used nail boards with elastic bands to do some work on shape. Sometimes they have some plastic ones which do the same job and are less painful when you lean on them. Well this challenge is to use an idea that started with using nailboards like these but has changed into using 9 dots arranged in a square to be like a small 3 by 3
If you use three lines, (like you may have had three elastic bands for a nail board) see what triangles you can make just using these nine dots. The lines MUST go from dot to dot, (like an elastic band has to go from nail to nail).
1) Use three straight lines only.
2) Each line must go from a dot to a dot.
3) You can only use these 9 dots arranged as shown.
Well now, what about the smallest one?
Have you used any kind of system to get all the ones that are the same shape but put in different places?
How many of each triangle have you found?
Finally, the usual question for you to ask, "I wonder what would happen if ...?"
Don't forget to send in solutions and ideas and things that you have found out.