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.

# Solving Quadratic Equations

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(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.# Sketching Quadratics

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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.