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Lesson Objectives The aim of this powerpoint is to help you… to find the original value when you have been given the increased or decreased value to revise dividing by fractions Reversing Fractional Changes You MUST use ‘method 2’ of fractional change Writing this method as a formula we hav...
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Solving Rational Equations Cross Products 6 = x 6(6)=x(x+5) 1. Cross multiply x+5 6 36=x2+5x 0=x2+5x-36 2. set quadratics equal to zero 0=(x+9)(x-4) 3. factor x+9=0 x-4=0 4. solve each for x=-9 x=4 zero ...
The direct application of the Crank-Nicolson scheme leads to quadratic convergence of the accuracy of the numerical results (i.e., halving the increments k and h leads to a decrease of the error by a factor of four). This behaviour should be expected according to Theorem 3.1. (ii) The...
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Conceptual field of inquiry: Expansion of brackets; factorisation of quadratic expressions. The prompt, in presenting two equations, requires students to consider whether it is always possible to "go both ways." They will confirm that expanding the brackets is always possible, but speculate that ...
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