## 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

**Logos School of English Education**

33-35 Gialousas Str.

3071 Lemesos

Postal Address:

**Logos School of English Education
**
P.O. Box 51075

3501 Lemesos

Cyprus

Tel. +357 25336061

or +357 25336650

Fax - +357 25335578

Principal@Logos.ac.cy