Logos School Curriculum - Grade 13
A-Level Mathematics- Textbooks
- Edexcel A2 Core Maths 4 (9780435519070)
- Edexcel A2 Core Maths 3 (9780435519094)
- Edexcel AS - Statistics 1 (9780435519124)
- Assesment: Three or Four tests throughout each term - 65-85%
Homework - 15%
Past papers set in terms 2 & 3 - 20%
- Term 1: Algebraic Fractions simplification, addition, subtraction, multiplication & division using the remainder theorem
Functions Notation, mapping diagrams, composite & inverse functions
Exponential & Log Functions General exponential functions, base e, natural logarithms
Mathematical Models definition and design
Representation and summary of data (location) continuous & discrete variables, frequency tables, measures of location (mean, median & mode)
Numerical Methods Graphical, iterative and numerical methods to find the roots of f(x)=0
Transforming graphs of functions Sketching y=|f(x)| (modulus), y=f(|x|). Equations involving the modulus function, applying transformations to curves.
Representation and summary of data (dispersion) Range, quartiles, percentiles, standard deviation, variance. Calculations using discrete data, frequency & grouped frequency tables.
Representation of Data Stem & leaf diagrams, Outliers, Box Plots, Histograms, Skewness
Trigonometry secant, cosecant and cotangent functions, their identities and inverse functions
- Term 2: Further trigonometric identities Addition formulae, double angle formulae, form acosx + bsinx, the factor formulae
Differentiation Chain rule, product rule and quotient rule. Differentiating exponential, logarithmic and trigonometric functions.
Probability Venn diagrams, AND & OR rules, Conditional probability, Tree diagrams, Mutually exclusive & independent events
Correlation Scatter diagrams, variability of bivariate data, product moment correlation coeeficient, strength of linear relationships
Regression Connecting variables, Minimising the sum of the squares of the residuals, Regression equation
Partial Fractions Adding & Subtracting algebraic fractions. Partila Fractions with two, three or more linear denominators, repeated denominators, improper fractions
Coordinate geometry Parametric equations, Parametric to Cartesian conversion, area under curve given by parametric equations
The Binomial Expansion Expansion with an positive integer index. Expansion of (a+bx)^n. Partial fractions & the binomial expansion
- Term 3: Discrete Random Variables Definition, sum of probabilities, cumulative distribution function, expectation, variance, models
Normal Distribution Standard normal distribution (Z), using tables, standardising a normal distribution, reverse table lookup.
Differentiation Parametric functions, Implicit functions, a^x, rates of change, differential equations
Vectors Definitions, arithmetic, position vectors, Cartesian components, three dimensional, scalar products, vector equation of a line, intersections, angle between two lines
Integration Standard functions, reverse chain rule. Using trigonometric identities, partial fractions, standard patterns. Integration by substitution & parts. Numerical integration. Finding areas & volumes. Solving differential equations.
- Other: EdExcel International A-Level Mathematics (YMA01)
- A-Level Physics
- Textbook: Cambridge International AS And A Level Physics Coursebook (9781107697690)
- Assesment: Tests 70%
Homework 30%
- Term 1: Circular Motion - Radians, angular velocity, centripetal forces, calculation and origin of centripetal forces
Gravitational Fields - Field strength, energy in a gravitational field, gravitational potential, Orbiting under gravity
Practical - Planning an experiment
Oscillations - Free & Forced, Observing & Describing oscillations, Simple Harmonic Motion, Frequency and angular frequency, equations of S.H.M., Energy changes, damping & resonance
Thermal Physics - Changes of state, energy changes, internal energy, meaning of temperature, thermometers
Ideal Gases - Molecules in a gas, Boyle's law, Changing temperature, Ideal gas equations, the Kinetic model, temperature and molecular kinetic energy
- Term 2: Practical - Methods of Analysis
Coulombs Law - Electric fields, Coulomb's law, Radial fields, Electric potential
Capacitance - Use, Energy stored, Capacitors in parallel and series, comparison with resistors, Capacitor networks
Magnetic Fields & Electromagnetism - Producing and representing magnetic fields, Magnetic force & flux density, Currents crossing fields, Forces between currents
Charged Particles - Observing the force, orbiting charges, electric and magnetic fields, discovering the electron
Practical - Treatment of Uncertainties
Electromagnetic Induction - Observation & Explanation, Faraday's law, Lenz's Law, eddy currents, generators & transformers
Alternating currents - Sinusoidal current, Oscilloscopes, Powers & a.c., Electrical supply, Transformers, Rectification
- Term 3: Quantum Physics - Modelling with particles & waves, Particulate nature of light, Photoelectric effect, line spectra, Photon energies, Isolated atoms, Dual nature of light, Electron waves
Nuclear Physics - Mass and energy, Energy released in decay, Binding energy & stability, Mathematics of decay
Practical - Making conclusions & Evaluating Results
Direct sensing - Sensor components, The operational amplifier, negative feedback, inverting & non-inverting amplifier, output devices
Medical Imaging - X-rays production, attenuation & improvement, CAT scans, Ultrasound scanning, Magnetic Resonance Imaging
Communication Systems - Radio waves, Analogue & digital signals, Channels of communication
- Other: Cambridge International A Level - Physics - 9702
- A-Level Biology
- Textbook: Biology: AS And A Level (9780521703062)
- Assesment: 4 Tests per term, as well as homework and essays
- Term 1: Energy and Respiration
The need fo energy in living organisms
Respiration as an energy transfer process
Aerobic respiration
Anearobic respiration
The use of respirometers
Photosyntesis
Photosynthesis as and energy transfer process
The investigation of limiting factors
Regulation and Control
The importance of homeostasis
Excretion
Control of water and metabolic wastes
Nervous and hormonal communication
Response to changes in the external enviroment
Regulation of the internal enviroment
Communication and control in flowering plants
Plant growth regulators
Inherited Change
Passage of information from parent to offspring
Nature of genes and alleles and their role in determining the phenotype
Monohybrid and dihybrid crosses
- Term 2: Selecton and Evolution
Natural and Artificial Selection
Biodiversity and Conservation
Classification
Conservation issues
Gene Technology
Gene technology or insulin production
Markers for genetic engineering
Benefits and hazards of gene technology
DNA sequencing and genetic fingerprinting
Cystic fibrosis
Genetic screening and genetic counselling
- Term 3: Biotechnology
Industrial applications of microorganisms
Batch and continious culture
Penicillin as an antibiotic
Immobilisation of enzymes
Monoclonal antibodies
Crop Plants
Crop plant reproduction
Crop adaptations
Methods to improve crops
Aspects of Human Reproduction
Gametogenesis
Roles of hormones in the menstrual cycle
Controlling human reproduction
- Other: Practical Projects
Provisional Book Lists
