These two group activities use mathematical reasoning - one is
numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
There are exactly 9 different solutions for N=10 units with no
rod longer than 10 units. Can you find them? With one of these
solutions you can measure up to N=13. Can you do better if you can
choose 3 longer measuring rods?
If you double the lengths of all three rods in one of these
solution sets you can measure even lengths from 2 to 2N units.
Introducing a one unit rod to make up a set of four measuring rods
you can now measure all lengths from 1 to (2N+1) units. Can you do
better than 27 units with 4 rods?