Note that we cover the second half of the first resource listed below (where we covered solving by factorising earlier in the year). Specific learning objectives this time:
(a) 'Complete the square' to put a quadratic in the form (x + a)2 + b
(b) Extension: Complete the square where the coefficient of the x2 term is not 1.
(c) Solve quadratics by completing the square.
(d) Extension: Identify the minimum/maximum point of a quadratic by completing the square.
(e) Solve quadratic equations by use of the quadratic formula.
(a) Solve quadratic equations using factorising.
(b) Rearrange equations in to the form ax2 + bx + c = 0 in order to solve, when not already in this form.
(c) Solve problems involving formation of quadratic equations, including using Pythagoras with algebraic sides and areas of shapes involving algebraic sides.
a) Solve quadratics using graphical methods.
b) Sketch parabolas from quadratic equations, considering intercepts with the axis.
c) Find the minimum or maximum point of a quadratic by completing the square.