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

## 1 files12/01/2023

Converting fractions to (potentially recurring) decimals and vice versa.

# GCSE Percentages

## 3 files15/01/2019

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

## 4 files28/05/2016

(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

## 2 files12/05/2016

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

# Loci & Constructions

## 3 files29/05/2016

(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.