MATHS STUDY CHECKLIST
P1:
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Index laws
Expanding brackets
Factorising
Negative and fractional indices
Surds
Rationalising denominators
Solving quadratic equations (part 1)
Solving quadratic equations (part 2)
Completing the square
Functions
Quadratic graphs
The discriminant
Linear simultaneous equations
Quadratic simultaneous equations
Simultaneous equations on graphs
Linear inequalities
Quadratic inequalities
Regions
Cubic graphs
Reciprocal graphs
Points of intersection
Translating graphs
Stretching graphs
Transforming functions
Y= mx + c
Equations of straight lines
Parallel and perpendicular lines
Length and area
The cosine rule
The sine rule
Areas of triangles
Solving triangle problems
Graphs of sine, cosine and tangent
Transforming trigonometric graphs
Radian measure
Arc length
Areas of sectors and segments
Differentiating x^n
Differentiating quadratics
Differentiating functions with 2 or more terms
Gradients, tangents and normal
Second order derivatives
Integrating x^n
Indefinite integrals
Finding functions
P2:
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Algebraic fractions
Dividing polynomials
The factor theorem
The remainder theorem
Mathematical proof
Methods of proof
Midpoints and perpendicular bisectors
Equation of a circle
Intersections of straight lines and circles
Use tangent and chord properties
Circles and triangles
Exponential functions
Logarithms
Laws of logarithms
Solving equations using logarithms
Changing the base of a logarithm
Pascal’s triangle
Factorial notation
The binomial expansion
Solving binomial expansions
Binomial estimation
Arithmetic sequences
Arithmetic series
Geometric sequences
Geometric series
Sum to infinity
Sigma notation
Recurrence relations
Modelling with series
Angles in all four quadrants
Exact values of trigonometrical ratios
Trigonometric identities
Solve simple trigonometric equations
Harder trigonometric equations
Equations and identities
Increasing and decreasing functions
Stationary points
Sketching gradient functions
Modelling with differentiation
Definite integrals
Areas under curves
Areas under the x-axis
Areas between curves and lines
Areas between two curves
The trapezium rule
MECHANICS:
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(chapter 1)
Constant acceleration (chapter 2)
Vectors in mechanics (chapter 3)
Dynamics of a particle moving in a straight line (chapter 4)
Forces and friction (chapter 5)
Momentum and impulse (chapter 6)
Statics of a particle (chapter 7)
Moments (chapter 8)
UNIT 1:
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Equations & types of reactions
Energy
Formula, solutions and gases
Isotopes and mass spectrometry
Atomic structure
The periodic table
Ionic bonding
Covalent molecules
Shapes of molecules
Metallic bonding and solid lattices
Introduction to organic chemistry
Alkanes
Alkenes
Addition polymers
UNIT 2:
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Enthalpy changes and reactions
Hess’ law
Bond enthalpy
Intermolecular forces
Physical properties
Redox chemistry
Elements of group 1 & 2
Inorganic chemistry of group 7
Quantitative chemistry
Kinetics
Equilibria
General principles in organic chemistry
Halogenoalkanes
Alcohols
Mass spectra and IR
UNIT 3:
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Core practicals 1 & 2
Core practicals 3 & 4
Core practicals 5 & 6
Core pracricals 7 & 8