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AVAILABLE SUBJECTS AND TOPICS

GCSE

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Mathematics

1 Number 2 Algebra 3 Ratio, proportion and rates of change 4 Geometry and measures 5 Probability 6 Statistics 

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Biology
1 Cell biology 2 Organisation 3 Infection and response 4 Bioenergetics 5 Homeostasis and response 6 Inheritance, variation and evolution 7 Ecology

Chemistry
1 Atomic structure and the periodic table 2 Bonding, structure and properties 3 Quantitative chemistry 
4 Chemical changes 5 Energy changes 6 The rate and extent of chemical change 7 Organic chemistry 8 Chemical analysis 
9 Chemistry of the atmosphere 10 Using resources 11 Key ideas

Higher Tier only 

12 Half equations and ionic equations 13 Limitations of the particle theory in relation to changes of state 14 Moles, concentrations of solutions in mol/dm3, volumes of gases and amounts of substances 15 Balance equations 16 Limiting reactants 17 Calculate expected mass of a product 18 Atom economy, yield, rate 19 Equilibria 20 Strong and weak acids 21 The energy change of reactions 22 Condensation polymerisation 23 Amino acids 24 Alternative methods of extracting metals. 

Physics
1 Energy 2 Electricity 3 Particle model of matter 4 Atomic structure 5 Forces 6 Waves 7 Magnetism and electromagnetism8 Space physics (physics only)

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Mathematics

1: Mathematical argument, language and proof 2: Mathematical problem solving 3: Mathematical modelling 4: Proofs 5: Algebra and functions 6: Coordinate geometry in the (x,y) plane 7: Sequences and series 8: Trigonometry 9: Exponentials and logarithms 10: Differentiation 11: Integration 12: Numerical methods 13: Vectors 14: Statistical sampling 15: Data presentation and interpretation 16: Probability 17: Statistical distributions 18: Statistical hypothesis testing 19: Quantities and units in mechanic 20: Kinematics 21: Forces and Newton’s laws 22: Moments

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Biology

1 Biological molecules 2 Cells 3 Organisms exchange substances with their environment 4 Genetic information, variation and relationships between organisms 5 Energy transfers in and between organisms (A-level only) 6 Organisms respond to changes in their internal and external environments (A-level only) 7 Genetics, populations, evolution and ecosystems (A-level only)

8 The control of gene expression (A-level only)

Chemistry

Physical chemistry

1 Atomic structure 2 Amount of substance 3 Bonding 4 Energetics 5 Kinetics 6 Chemical equilibria, Le Chatelier’s principle and Kc 7 Oxidation, reduction and redox equations 8 Thermodynamics (A-level only) 9 Rate equations (A-level only) 10 Equilibrium constant Kp  or homogeneous systems (A-level only) 11 Electrode potentials and electrochemical cells (A-level only) 12 Acids and bases (A-level only)

Inorganic chemistry
1 Periodicity 2 Group 2, the alkaline earth metals 3 Group 7, the halogens 4 Properties of Period 3 elements and their oxides (A-level  Only) 5 Transition metals (A-level only) 6 Reactions of ions in aqueous solution (A-level only)

Organic chemistry
1 Introduction to organic chemistry 2 Alkanes 3 Halogenoalkanes 4 Alkenes 5 Alcohols 6 Organic analysis 7 Optical isomerism (A-level only) 8 Aldehydes and ketones (A-level only) 9 Carboxylic acids and derivatives (A-level only) 10 Aromatic chemistry (A-level only)
11 Amines (A-level only) 12 Polymers (A-level only) 13 Amino acids, proteins and DNA (A-level only) 14 Organic synthesis (A-level only)
15 Nuclear magnetic resonance spectroscopy (A-level only) 16 Chromatography (A-level only)

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ADVANCED

AVAILABLE SUBJECTS AND TOPICS - DETAILED

GCSE Mathematics Module 1 - Numeracy

Integers

• place value • ordering • multiples • factors (divisors) • prime numbers • prime factor trees • unique factorisation theorem • lowest common multiple •  highest common factor •  estimates

Operations

• apply the four operations • calculations on paper •  powers (including fractional powers) • surds • positives & negatives • symbols =, ≠, , ≤, ≥ 

Decimals

• decimal places • significant figures • standard index form •  upper/lower bounds (error intervals)

Percentages

• solve problems involving percentage change, including percentage increase/decrease and original value problems • percent change •  compound and simple interest & financial mathematics

Fractions, Ratios & Proportion

• express one quantity as a fraction of another • express non-terminating decimals as fractions • scaling factors • solve problems involving direct and inverse proportion, including graphical and algebraic representations • change freely between related standard units (eg time, length, area, volume/capacity, mass) and compound units (eg speed, acceleration,  rates of pay, prices) •  kinematic problems • compound units (eg density, pressure) • scale factors, scale diagrams and maps

Sequences

• apply systematic listing strategies • generate terms of a sequence • deduce expressions to calculate the nth term of linear sequences • recognise and use sequences of triangular, square and cube numbers • simple arithmetic progressions including Fibonacci-type sequences, quadratic sequences and simple geometric progressions

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GCSE Mathematics Module 2a - Algebra Foundation

vocabulary

expressions, equations, formulae, inequalities, terms and factors, identities

simplify, manipulate & derive algebraic expressions

• expanding • collecting like terms • multiplying a single term over a bracket • simplifying expressions involving sums, products and powers, (including the laws of indices & surds) • solving equations & inequalities in one or two variable(s) & produce number lines• rearrange formulae to change the subject • interpret simple expressions as functions with inputs and outputs • solve two simultaneous equations in two variables (linear/linear) algebraically •  find approximate solutions using a graph •  iteration, trial & improvement •  translate simple situations to derive an equation (or two simultaneous equations)

Factorising

• difference of two squares •  solve quadratic equations and inequalities

Graphs & Vectors

• linear Graphs • transformations • rotation, reflection, translation and enlargement • coordinates • plot straight-line graphs • gradients as rates of change •  graphs of linear, quadratic, cubic and reciprocal functions

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GCSE Mathematics Module 2b - Algebra Higher

• solving quadratics: graphically, factorising, quadratic Formula & completing the square • simultaneous equations (linear and quadratic) • equations of circles • simplify surd expressions involving squares and rationalise denominators

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GCSE Mathematics Module 3 - Geometry

• conventional terms: points, lines, vertices, edges, planes, perpendicular lines, right angles • properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres • sum of angles in a triangle • quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus •  reflection and/or rotation symmetries • interpret plans and elevations of 3D shapes  • parallel lines (alternate and corresponding angles) • 3-figure bearings

• perimeters, areas, surface areas, volumes, linear/area/volume scaling factors 

• circles : centre, radius, chord, diameter, circumference including: tangent, arc, sector and segment  • circle theorems • constructing loci • draw diagrams from written description

• Pythagoras theorem • trigonometric ratios (SOHCAHTOA) •  know the exact values of sin x, tan x and cos for  x = 0°, 30°, 45° , 60° and 90°  • cosine rule • sin rule  • conventions for labeling the sides and angles of triangles  • congruence criteria for triangles (SSS, SAS, ASA, RHS), isoceles, equilateral • properties of regular polygons (interior and exterior angles) 

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GCSE Mathematics Module 4 - Statistics

 • record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees  •  calculate expected outcomes of multiple future experiments  • relate relative expected frequencies to theoretical probability  • probabilities of an exhaustive set of outcomes sum to 1  • enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams  • possibility spaces to calculate theoretical probabilities  • interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and pictograms for categorical data, vertical line charts for ungrouped discrete numerical data  • tables and line graphs for time series data

 • Mean, Median, Mode, Interquartile Range, Frequency, Tally Charts, Pictograms, Stem and Leaf Diagrams, Pie Charts, Frequency Density Plots, Cumulative Frequency Plots, Probability, Scatter Graphs, interpret, analyse and compare the distributions of data sets from univariate empirical distributions through: • appropriate graphical representation involving discrete, continuous and grouped data • including box plots • appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers), use and interpret scatter graphs of bivariate data recognise correlation

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GCSE Biology Module 1 - Cell Biology

 • Prokaryotes & eukaryotes • animal & plant cells • cell differentiation • mitosis • bacterial cell culture • diffusion, osmosis & active transport

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GCSE Biology Module 2 - Organisation

• cells, tissues, organs, organ systems • human digestion •  enzymes • heart and circulatory system • coronary heart disease •  health & lifestyle choices •  cancer • plant tissues & organs

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GCSE Biology Module 3 - Infection & response

3 • communicable diseases, viruses, bacteria, fungi & protists • human defence against infection • vaccination • antibiotics, painkillers •  drug development • monoclonal antibodies (higher only) • plant disease  and defence (some higher)

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CSE Biology Module 4 - Bioenergetics

• Photosynthesis  • limiting factors (higher), inverse square law of light intensity • Respiration  • Response to exercise  • Metabolism

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GCSE Biology Module 5 - Homeostasis

• Glucose. temperature & water regulation • ADH on kidney (higher) • deamination (higher) • the nervous system • brain • eye •endocrinology • reproduction, contraception & fertility treatment (higher) • Negative feedback , glucagon & insulin, thyroxine & adrenaline (higher) • photopropism & gravitropism/geotropism  • plant hormones giberellin, ethene & uses (higher) • menstrual cycle - interactions, of LH, FSH, oestrogen & progesterone (higher)

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GCSE Biology Module 6 - Inheritance, variation & evolution

• Asexual & sexual reproduction • Meiosis • DNA • protein synthesis (higher) • Inheritance • inherited disorders • sex determination • variation • evolution • selective breeding • genetic engineering • cloning whole animal • cloning genes (higher) • Darwin & Lamarck • speciation • Mendel • Evidence for evolution - fossils & extinction • resistant bacteria • classification

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GCSE Biology Module 7 - Ecology

 • Adaptations, interdependence and communication • trophic levels • biomass • communities • abiotic & biotic factors • organisation of ecosystems • carbon & water cycles • decomposition • environmental change • biodiversity • waste management • land use • deforestation • global warming • food security • farming and fishing practises • biotechnology

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GCSE Chemistry Module 1 - Atomic structure and the periodic table

• Thompson's plum pudding model superseded by Rutherford's nuclear model of the atom • Nels Bohr theory of electron orbit • Chadwick's discovery of neutrons • protons, neutrons, electrons, atoms, ions, isotopes, relative atomic mass, calculation of average mass of isotopes • Mendeleev early periodic table • reactivity of group 1 & group 7

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GCSE Chemistry Module 2 - Atoms, bonds, structure and properties
• States of matter and symbols • metals and non-metals • mixtures, molecules, compounds, alloys • balancing chemical equations • explain chemical bonding in terms of electrostatic forces and the transfer or sharing of electrons • bonding (covalent, ionic, metallic) • structure & properties (melting point, boiling point, thermal & electrical conductivity) • diamond, graphite, graphene, fullerenes, nanotech • transition metal properties Cr, Mn, Fe, Co, Ni, Cu.

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GCSE Chemistry Module 3a - Quantitative chemistry

• Chemical measurements • conservation of mass and the quantitative interpretation of chemical equations • use the range of a set of measurements about the mean as a measure of uncertainty • moles, Relative formula mass, Avogadro constant • calculate the mass of solute in a given volume of solution • percentage yield • atom economy

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GCSE Chemistry Module 3b - Quantitative chemistry - higher

• The effect of changing conditions (concentration, temperature and pressure) on equilibrium • Half equations and ionic equations, electrolysis - including hydrogen fuel cell • Limitations of the particle theory in relation to changes of state • Moles, concentrations of solutions in mol/dm3, volumes of gases and amounts of substances • Balance equations • Limiting reactants • Calculate expected mass of a product • Atom economy, yield, rate • Equilibria • Strong and weak acids • Calculate the energy change of reactions from bond energies  • Condensation polymerisation • Amino acids • Alternative methods of extracting metals. 

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GCSE Chemistry Module 4 - Energy changes, rates of chemical change

• Energy transfer during exothermic and endothermic reactions • reaction profiles • cells and batteries, rechargeable batteries, fuel cell • calculating rates of reactions • factors which affect the rates of chemical reactions, collision theory and activation energy, catalysts • reversible reactions and dynamic equilibrium

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GCSE Chemistry Module 5 - Chemical reactions

• reactivity of metals, redox, reactivity series and displacement, extraction of metals • reactions of acids with metals • pH scale and neutralisation of acids and salt production • how to set up titrations, • crystallization soluble salts, describe how to make pure, dry samples of named soluble salts • electrolysis of ionic compounds and aqueous solutions.

GCSE Chemistry Module 6 - Organic chemistry

• crude oil, fractional distillation, cracking & polymers • alkenes, alcohols & carboxylic acids • amino acids

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GCSE Chemistry Module 7 - Chemical analysis

• pure substances & formulations • chromatography • identification of common gases & ions • chemistry of the atmosphere - evolution, greenhouse gases & climate change • pollutants - sources and effects  • using resources - potable water •life cycle assessment  = reducing and recycling • corrosion & prevention • ceramics, polymers and composites • Haber process • NPK fertilisers