(Syllabus) Written Examination Syllabi For TGT (English): KVS
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Written Examination Syllabi For TGT (English): KVS
Reading Comprehension (Section  A)
Ability to comprehend, analyze and interpret an unseen text: Three/four unseen texts of varying lengths (150250 words) with a variety of objective type, multiple choice questions (including questions to test vocabulary) testing factual and global comprehension.
Writing ability (Section – B)
Testing ability to express facts views / opinions in a coherent and logical manner in a style suitable to the task set.
B.1 One short writing task such as: notice, message or a postcard.
B.2 Writing a report of an event, process, or place.
B.3 Writing an article / debate / speech based on visual / verbal input
on a given concurrent topic for e.g. environment, education, child labour,
gender bias, drug abuse etc presenting own views fluently.
B.4 Writing a letter (formal/informal) on the basis of verbal / visual
input. Letter types include: (a) letter to the editor; (b) letter of complaint ;
(c) letter of request ; (d) descriptive , personal letters.
Grammar and Usage (Section – C)
Ability to apply the knowledge of syntax, language/ grammatical items and to use them accurately in context. The following grammatical structures will be tested :
 Tenses
 Modals
 Voice
 Subject verb concord
 Connectors
 Clauses
 Parts of speech
 Punctuation
 Sequencing to form a coherent sentence or a paragraph.
Literature (Section – D)
To test the candidate’s familiarity with the works of writers of different genres and periods of English Literature .
The candidate should have a thorough knowledge of :
 Shakespeare’s works.
 Romantic Period (e.g. Shelley, Wordsworth , Keats, Coleridge, Byron etc.)
 19th & 20th Century American and English Literature (e.g. Robert Frost Hemingway, Ted Hudges, Whitman, Hawthorne, Emily Dickinson, Bernard Shaw etc)
 Modern Indian Writing in English (e.g. Anita Desai, Vikram Seth , Nissim Ezekiel, K.N. Daruwala, Ruskin Bond, R.K. Narayan, Mulk Raj Anand, Khushwant Singh etc.)
 Modern Writings in English from different parts of the world.
Written Examination Syllabi For TGT (Mathematic): KVS
Real Numbers: Representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / nonterminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring / terminating decimals. Examples of nonrecurring / non terminating decimals. Existence of nonrational numbers (irrational numbers) and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number. Laws of exponents with integral powers. Rational exponents with positive real bases. Rationalization of real numbers. Euclid's division lemma, Fundamental Theorem of Arithmetic. Expansions of rational numbers in terms of terminating / nonterminating recurring decimals.
Elementary Number Theory: Peano’s Axioms, Principle of Induction; First Principle, Second Principle, Third Principle, Basis Representation Theorem, Greatest Integer Function, Test of Divisibility, Euclid’s algorithm, The Unique Factorisation Theorem, Congruence, Chinese Remainder Theorem, Sum of divisors of a number . Euler’s totient function, Theorems of Fermat and Wilson.
Matrices: R, R2, R3 as vector spaces over R and concept of Rn. Standard basis for each of them. Linear Independence and examples of different bases. Subspaces of R2, R3. Translation, Dilation, Rotation, Reflection in a point, line and plane. Matrix form of basic geometric transformations. Interpretation of eigenvalues and eigenvectors for such transformations and eigenspaces as invariant subspaces. Matrices in diagonal form. Reduction to diagonal form upto matrices of order 3. Computation of matrix inverses using elementary row operations. Rank of matrix. Solutions of a system of linear equations using matrices.
Polynomials: Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros / roots of a polynomial / equation. Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of quadratic and of cubic polynomials using the Factor Theorem. Algebraic expressions and identities and their use in factorization of polymonials. Simple expressions reducible to these polynomials.
Linear Equations in two variables: Introduction to the equation in two variables. Proof that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, Algebraic and graphical solutions.
Pair of Linear Equations in two variables: Pair of linear equations in two variables. Geometric representation of different possibilities of solutions / inconsistency. Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically  by substitution, by elimination and by cross multiplication.
Quadratic Equations: Standard form of a quadratic equation. Solution of the quadratic equations (only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots. Relation between roots and coefficients, Symmetric functions of the roots of an equation. Common roots.
Arithmetic Progressions: Derivation of standard results of finding the nth term and sum of first n terms.
Inequalities: Elementary Inequalities, Absolute value, Inequality of means, CauchySchwarz Inequality, Tchebychef’s Inequality.
Combinatorics: Principle of Inclusion and Exclusion, Pigeon Hole Principle, Recurrence Relations, Binomial Coefficients.
Calculus: Sets. Functions and their graphs: polynomial, sine, cosine, exponential and logarithmic functions. Step function. Limits and continuity. Differentiation. Methods of differentiation like Chain rule, Product rule and Quotient rule. Second order derivatives of above functions. Integration as reverse process of differentiation. Integrals of the functions introduced above.
Euclidean Geometry: Axioms / postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Relationship between axiom and theorem. Theorems on lines and angles, triangles and quadrilaterals, Theorems on areas of parallelograms and triangles, Circles, theorems on circles, Similar triangles, Theorem on similar triangles. Constructions. Ceva’s Theorem, Menalus Theorem, Nine Point Circle, Simson’s Line, Centres of Similitude of Two Circles, Lehmus Steiner Theorem, Ptolemy’s Theorem.
Coordinate Geometry: The Cartesian plane, coordinates of a point, Distance between two points and section formula, Area of a triangle.
Areas and Volumes: Area of a triangle using Hero's formula and its application in finding the area of a quadrilateral. Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders / cones. Frustum of a cone. Area of a circle; area of sectors and segments of a circle.
Trigonometry: Trigonometric ratios of an acute angle of a rightangled triangle. Relationships between the ratios. Trigonometric identities. Trigonometric ratios of complementary angles. Heights and distances.
Statistics: Introduction to Statistics: Collection of data, presentation of data, tabular form, ungrouped / grouped, bar graphs, histograms, frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data. Mean, median and mode of grouped data. Cumulative frequency graph.
Probability: Elementary Probability and basic laws. Discrete and Continuous Random variable, Mathematical Expectation, Mean and Variance of Binomial, Poisson and Normal distribution. Sample mean and Sampling Variance. Hypothesis testing using standard normal variety. Curve Fitting. Correlation and Regression.
Written Examination Syllabi For TGT (Science): KVS
Effect of Current: Potential; potential difference ohms law; series combination of resistors, parallel combination of resistors; Power dissipation due to current; Inter relation between P,V,I and R. Magnetic field & magnetic lines, Magnetic field due to current carrying conductor; Fleming left hand rule, Electromagnetic Induction; Induced Potential Difference, Induced current; Direct current, Alternating current; Frequency of AC, Advantage of Electronic Motor & Electronic Generator. Light: Convergence and Divergence of light; Images formed by a Concave Mirror; related concepts, centre of curvature; principles axis, optic centre, focus, focal length, Refraction & laws of refraction. Images formed by a convex lens; functioning of vision and remedies. Applications of spherical mirrors and lenses. Appreciation of concept of refraction index; Twinkling of stars; Dispersion of light; Scattering of light. Source of Energy: Different forms of Energy, Leading to different sources for human use: Fossil Fuels, solar energy; Biogas; Wind; Water and Tidal Energy; Nuclear Energy. Renewable versus nonrenewable sources. Motion ; Force and Newton's Laws: Displacement, Velocity, uniform & NonUniform motion along a straight line, acceleration distancetime and velocity, Time graphs for uniform and uniformly accelerated motion; Equations of motion by graphical method Equations of motion by graphical method; Elementary idea of uniform circular motion. Force and Motion; Newton’s laws of motion Inertia of a body; Inertia and Mass, Momentum Force and acceleration, Elementary idea of conservation of momentum, Action and Reaction forces. Gravitation; Work, Energy and Power: Gravitation; Universal Law Of Gravitation, Force of gravitation of the earth(gravity, acceleration due to gravity; mass and weight; free fall. Work done by a force energy, power ; Kinetic and Potential energy; law of conservation of energy. Floatation: Thrust and Pressure, Archimedes Principle ,Buoyancy, Elementary idea of relative density. Sound: Nature of Sound and its Propagation in various media, Speed of Sound, Range of hearing in Humans; Ultra Sound, Reflection of sound; Echo and SONAR; Structure of the Human Ear (Auditory aspect only) MatterNature and Behavior: States of Matter: Gases, liquids, solids, plasma and Bose Enstein condenstate, types of intermolecular forces. Classification of matter into mixtures and pure substances. Henry’s Law. Concentration of solutions.
Colloids phases of colloids, Tyndall effect, Brownian movement. suspension. Properties of matter. Measurement of properties of matter S.I. system of units, physical and chemical changes. Laws of chemical combination: Gay Lassa's law, Avogadro law, atomic and molecular masses, average atomic mass, mole concept and molar masses, percentage composition. STRUCTURE OF ATOM: Dalton’s atomic theory, Discharge tube experiments, J J Thomson’s model of atom, Rutherford’s model, Bohr’s model of atom, electronic configuration, formation of ions, Characterization of elements as metals, metalloids, or nonmetals, isotopes (their applications), isobars and isotones.
PERIODIC CLASSIFICATION OF ELEMENTS
Mendeleev’s periodic law, Periodic properties of elements,  trends in the periods and groups: Importance of the periodic table, position of hydrogen in the periodic table. CHEMICAL SUBSTANCES: Nature and behaviour Acid, Bases and Salts: Classical definition of acids and bases, Bronsted Lowry theory, Lewis concept of acid and bases, relative strengths of acids and bases, logarithmic or p scale pH, pOH and pkw, ionic equilibria in a solution Action of indicators on acids and bases, sources of acid and bases, SaltClassification of salts and their pH CHEMICAL REACTIONS: Formulation of chemical equations, balancing chemical equations, Types of chemical equations with examples.
METALS AND NON METALS:
Characters of metals and nonmetals including all properties and applications: Occurrence of metals in nature : ores and minerals, enrichment of ores metallurgical operations.
Corrosion: rusting of iron  prevention of corrosion CARBON COMPOUNDS: Position of carbon in the periodic table. Concept of hybridization and shapes of molecules structural formula and molecular models, types of reactions undergone by organic compounds, homologous series of compounds having different functional groups, isomerism, IUPAC nomenclature of organic compounds.
Hydrocarbons – their classification formation of coal and petroleum. Industrial source, preparation and properties of alkanes
Alcohols: Preparation and properties. Qualitative analysis of alcohols, iodoform test, effect of alcohols on living beings. Carboxylic acids: Preparation and properties. Functional group analysis of carboxylic acid. Soaps , detergents , biodegradable detergents. Carbon fibres. CONSERVATION OF NATURAL RESOURCES: Pollution of river water, Ganga action plan for improving quality of water,
Need for sustainable management of natural resources. Development of non conventional energy resources to prevent pollution and atmospheric conservation. MAN MADE MATERIAL:
Ceramics, cement, porcelain, glass, carbon fibres, soaps and detergents, polymers, fibres and plastics.
Life Processes:
 What are life Processes.
 Need for Nutrition.
 Different modes of Nutrition in animals.
 What is Photosynthesis .
 Various steps of holozoic nutrition.
 Aerobic and anaerobic respiration.
 Transportation in Human beings.
 Transportation in Plants.
 Transportation in animals.
 Excretion in animals including Human beings.
 Excretion in Plants.
 Animals – nervous system.
 Basic unit of Nervous System in animals.
 Reflexaction.
 Human Brain.
 Co Ordination in plants.
 Geotropism – Positive, Negative
 Hormones in animals.
 Endocrine & Exocrine glands.
 Importance of variation.
 Modes of Reproduction used by single organisms.
 Sexual Reproduction in plants and animals.
 Reproduction in Human beings.
 What happens when egg is not fertiliszed.
 Modes of avoiding pregnancy(family planning)
 What is heredity?
 Medals Law of inheritance.
 How is sex determined.
 Evolution & Classification.
 Acquired and inherited traits.
 Homologus and Analogous organs.
 What are fossils?
 Human Evolution.
 Structure of eye
 Defects of eye and their correction
 What are living organisms made of?
 Structure organization of cell
 Define tissue
 Types of plants tissue and animals tissues
 Basis of Classification.
 Classification & Evolution.
 Hierarchy of classification – groups.
 Plantae, Animalia.
 Nomenclature.
 Health & its failure.
 Diseases and their causes
 Types of diseases Infectious, Noninfectious.
 Prevention of diseases.
 Communization
NATURAL RESOURCES:
1. Our Environment :Atmosphere, roll of atmosphere in climate control, wind, rain, environmental pollution: Global warming and green house effect , acid rain, particulate pollutants, smog, formation of photochemical smog. Formation of ozone and its break down ozone hole, causes of ozone hole formation, polar vortex, effects of depletion of ozone hole. Water pollutionoxygen demand, chemical oxygen demand, international standard of drinking water, processing of drinking water. Soil pollution: waste recycling, Strategies to control environmental pollution, its collection and proper methods of disposal. Biogeochemical cycles: water cycle, nitrogen cycle, carbon cycle, and oxygen cycle.
 Breath of life: Air, Air pollution
 Water a wonderful liquid.
 Water pollution.
 Biochemical cycles. Nitrogen cycle. Carbon cycle. Oxygen cycle.
 The green house effect.
 What is ozone layer. How does it protect the earth. What are the causes of depletion of ozone layer. How can it affect day to day life of living organisms.
 Improvement in crop yield.
 Animal Husbandry.
 Need for Intercropping.
 Cross Breeding.
Written Examination Syllabi For TGT (Social Science): KVS
HISTORY
Contemporary World: Industrial Revolution
 Economic Depression
 Labour &Peasant class issues
 Growth of industries in India in twentieth
 Century
 Features of colonial society in India
 Causes
 Events
 Impact
 Consequences
Indian Freedom Struggle – 1885 to 1947
Russian Revolution1917, Causes, Events, Impact on Russia and the World, Consequences
Rise of Socialism
 Philosophy of Karl Marx
 Socialism in Europe
 Impact of Socialism
The Two World Wars and the establishment of UN
GEOGRAPHY
Introduction to solar system; origin of earth:Motions of the Earth: Rotation, Revolution, Occurrence of Day and Night; change of seasons; Latitudes and Longitudes; Finding time. Earth’s Interior: Origin of continents and ocean basins Wagener's Continental drift theory, Theory of Plate Tectonics, Earthquakes and Volcanoes, Folding and faulting Rocks and minerals: Types of rocks; soil formation; major types and characteristics. Agents of gradation: Weathering, mass wasting, running water, wind, glaciers, sea waves and Karsat topography
Climate:
 Atmosphere  Composition and structure, elements of weather and climate Insulation Heat Budget, Heating and cooling of atmosphere, Conduction, Convection, Solar Radiation, Terrestrial raditiation, Advection, Temperature, Factors controlling temperature, distribution of temperaturehorizontal and vertical
 Pressure Pressure belts, winds, cyclones and anticyclone, Evaporation, condensation and precipitation and their forms: Humidity, rainfall and its types.
 World climates Classification, greenhouse effect, global worming and global climate change. Water (Oceans): Distribution of water bodies on the Earth’s surface; hydrological cycle.
 Ocean Submarine relief, distribution of temperature and salinity; movement of ocean water’swaves, tides currents of Atlantic, Pacific and Indian Ocean Maps and Scales Definition and classification Finding directions, conventional signs Techniques of representing relief features on map; contours, Hachures, Hill shading, layer tinting. Representation of climatic data; line and Bar Graph, (Climograph) Isotherms, isobars and isohyets
 Biosphere: Ecology, type of EcoSystem, structure and functions of EcosystemFood Chain, Food Web, World Biomes, Ecological Balance , Biodiversity and its conservation.
Type of Disasters Natural & Manmade.
 Disaster Management : Becoming a Disaster manager. Components of Disaster management.
 Disaster risk reduction: Disaster risk management. Understanding Disaster mitigation. Specific Hazards and mitigation.
 Common manmade Disasters and their prevention
 Community based Disaster Management and social planning for Disasters.
 Tsunami: The killer sea waves.
 Survival skills: During and After Disaster.
 Alternative Communication system.
 Safe construction Practices
 Sharing Responsibilities
 Planning Ahead
 Economic activities/ non economic activities
 Population
 Education
 Health
 Unemployment/Employment
 Poverty line
 Poverty & inequality
 Policies for poverty reduction
 Poverty estimates
 Food security
 Green revolution
 Buffer stock
 Issue Price/Support price
 Role of cooperative societies in food security
 Growth and distribution, sustainable agricultural growth
 Growth structural changes
 Population and human resource development
 Purchasing power parity (PPP)
 Main features of Indian Economy at the time of Independence
 Economic development
 Gross enrolment ratio
 Foreign trade & Economic development
 Development & under development
 Distribution of Income/factors of development
 Classification of Sectors like Primary/Secondary/ Organized/unorganized/Public/Private sector
 Small and Large Industry
 Performance of the Public Sector
 Privatization
 Employment growth in the Industrial sector
 Indian Monetary System
 Function of money

Banks :
Central Bank function
Commercial Banks  Self help Groups (SHGs)
 Debt trap
 Demand of money & supply of money
 Financial markets
 Money and capital market
 Monetary aggregates in India.
 Power sharing
 Federalism
 Democracy and Diversity
 Political parties
 Elections
 Challenges to Democracy
 Popular struggle and movements –like in Nepal, Bolivia
 Democracy
Concept
Salient Features
Local Self Government
Elections
Democracy in India & the World  Indian Constitution
Framing of the constitution
Adoption of the constitution
Working of Institutions –Parliament ,
Judiciary
Fundamental Rights
Components of production:
People as Resource:Money & Credit:
CIVICS:
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