1. Further Mathematics Support Programme

2. Let Maths take you Further…
Euclidian Algebra 1
Let Maths take you Further…

3. Euclidian Algebra & Calculation
The Ancient Greeks were skilled mathematicians who devised interesting number and algebra problems which were to be solved using only a pencil, a straight edge and a pair of compasses. Numerical values were represented by straight lines of a given length.

4. If a certain line has a value of ‘1’ _____ then a line twice its length is ‘2’ __________ Lines of random (but fixed) length are used to represent unknown quantities e.g. a is _______ b is _____________ How would you obtain: a+b? b-a?

5. How does the value x relate to the values a and b in this diagram?

6. Choose a random length for a and a different random length for b.
Using similar triangles, as with the previous slide, can you construct a representative length for: a2
a÷b
a2÷b
What other combinations of operations is it possible to construct?
Are there any which it is not possible to construct?