Note that the 'IMC Geometry' topic is not in the scheme of work and is used as enrichment material for my top set in advance of the IMC.

**IMPORTANT:** This term, the method of solving quadratics covered is only 'by factorisation'. Other techniques will be covered later in the year.

# 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.# IMC Geometry

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Covers geometric problems (involving lengths, angles and area) found in Intermediate Maths Challenges and Olympiads.

# Percentages II

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(Used for Year 9 Scheme of Work)

(a) Recap: Use multipliers to represent percentages of amounts and percentage changes.

(b) Deal with successive percentage changes, including compound interest.

(c) Find values before a percentage change (i.e. reverse percentages).# Loci & Constructions

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(a) Recap: Construct triangles, equilateral triangles, perpendicular bisectors, angle bisectors, perpendicular from a point on a line, and perpendicular to a line from a point not on the line.

(b) Construct a hexagon.

(c) Appreciate that a locus of points is a set of points which satisfies some criteria (e.g. a distance of 10cm from an object).

(d) Identify loci for (i) a fixed distance from a shape (ii) equidistant from two points (iii) equidistant from two lines.

(e) Find loci for compound shapes (e.g. fixed distance from a rectilinear shape).

(f) Identify loci regions, e.g. less than a specific distance from a shape. Combine regions from multiple criteria.