A

Arc length

Area

• Sector
• Segment
• Triangle (two sides and inc. angle)

B

C

Circular measure

• Arc length
• Area of a Sector
• Area of a Segment

Completing the Square

• applications
  • Sketching quadratic graphs
  • Solving quadratic equations

Coordinate Geometry

• Straight lines
  • Distance between two points
  • Mid-point of a line segment
  • Gradient of a line
  • Equation of a line
  • Perpendicular bisector
• Intersection of lines and curves
  • Two straight lines
  • Curve and line / two curves

Cosine Rule

D

Differentiation Methods (IGCSE)

• ax^n types

E

Expanding-brackets

• Two or more

F

Factorising

• HCF types
• Grouping
• Quadratics (trinomials)

G

Gradient

• Gradient function dy/dx (IGCSE)
• Gradient of a line
• Parallel lines
• Perpendicular lines

Graphs

• Quadratic graphs
• transformations (see transformations)

H

I

Indices

Inequalities

• Linear inequalities
  • introduction
  • rules for reversing sign
  • solving

L

Line

• Equation
• Gradient

M

N

P

Pythagoras' Theorem

Q

Quadratic Equations

• solution by factorising
• solution by completing the square
• solution by formula

Quadratic Expressions

• Completing the Square
• Factorising

Quadratic Graphs

• Sketching using completing the square

R

Rationalising

S

Sector (area and arc length)

Segment (area)

Simultaneous Equations

• Linear (elimination method)
• Linear-Quadratic (substitution)

Sine Rule

Surds

• multiplication rule
• combining and simplifying
• division rule
• rationalising
• surds on a calculator

T

Transformations of graphs

• Translations
• Reflections
• Stretches

Trigonometry

• Graphs
  • Sin, Cos and Tan
• Triangles
  • Cosine Rule
  • Sine Rule

Trinomials (see quadratics)

V

Vectors

• What is a vector and a scalar quantity?
• Notation
• Position vectors
• Equal and negative vectors
• Addition and subtraction of vectors
• Magnitude