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.
GCSE Recurring Decimals & Fractions
Converting fractions to (potentially recurring) decimals and vice versa.
Covers all aspects of the GCSE9-1 syllabus (but presuming a basic knowledge of what a percentage is), including (a) Find a percentage of a value or a value after a percentage change, using decimal multipliers. (b) Find what percentage one amount is of another. (c) Find a value before a percentage change. (d) Deal with compound changes.
Solving Quadratic Equations
(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.
Covers geometric problems (involving lengths, angles and area) found in Intermediate Maths Challenges and Olympiads.
Loci & Constructions
(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.