IS THIS ADDITION OR SUBTRACTION SIR?!!
Working like a Mathematician The ProblemVisualising it Find an expression for the hypotenuse of a right angle triangle in terms of the area and perimeter of the triangle As a mathematical expectation: Express the hypotenuse (H) in terms Of the Area(A) and the Perimeter(P) A Right angle triangle showing Pythagoras theorem -Why bother? A triangle shaded A triangle highlighting the Perimeter Now put it all together and fiddle till you get an expression with H in terms of P & A
Working like a Mathematician The Problem
This is all Y13 applicable !! They have: a mathematical tool kit, all level 8 of it, accumulated over 12 years of learning mathematics.
Give them something to use it on ! Use a problem to draw out mathematical understanding
A problem !! Google 2006 scholarship mathematics with calculus