Pages

Monday 26 March 2012

KENDRIYA VIDYALAYA TGT SCIENCE SYLLABUS , KVS TGT SCIENCE SYLLABUS

SYLLABUS FOR WRITTEN EXAMINATIN FOR TGT(SCIENCE)

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.

SOURCES 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  non-renewable sources.

MOTION ; FORCE AND NEWTON’S LAWS

Displacement, Velocity, uniform & Non-Uniform motion along a straight line, acceleration distance-time 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)

MATTER-NATURE AND BEHAVIOUR: 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 Lussac’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, Characterisation of elements as metals, metalloids, or non-metals, 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, Salt-Classification 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 non-metals 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, 
(1)  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.

Control & Co-Ordination.

§  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.

Reproduction


§  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)

Heredity and Evolution


§  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.

The Human eye and the colourful world.

§  Structure of eye
§  Defects of eye and their correction


Natural resources


The fundamental unit of Life
§  What are living organisms made of?
§  Structure organization of cell

Tissues


§  Define tissue
§  Types of plants tissue and animals tissues

Diversity of living organisms


§  Basis of Classification.
§  Classification & Evolution.
§  Hierarchy of classification – groups.
§  Plantae, Animalia.
§  Nomenclature.

Why do we fall ill

§  Health & its failure.
§  Diseases and their causes
§  Types of diseases- Infectious, Noninfectious.
§  Prevention of diseases.
§  Smmunisation
§   

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 pollution-oxygen 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.

2. Breath of life: Air, Air pollution
3. Water a wonderful liquid.
4. Water pollution.
5. Biochemical cycles. Nitrogen cycle. Carbon cycle. Oxygen cycle.
6. The green house effect.
7. 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 Food Resources


1.    Improvement in crop yield.
2.    2. Animal Husbandry.
3.    3. Need for Intercropping.
4.    Cross Breeding.





CLICK
KVS TGT
SOCIAL SCIENCES
SYLLABUS 

CLICK
KVS  TGT
MATHEMATICS SYLLABUS

KENDRIYA VIDYALAYA TGT MATHEMATICS SYLLABUS , KVS TGT MATHEMATICS SYLLABUS


Syllabus for written examination of TGT(Mathematics)

Real Numbers:
Representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification.
Rational numbers as recurring / terminating decimals. Examples of non-recurring / non terminating decimals. Existence of non-rational 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 / non-terminating 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, Cauchy-Schwarz 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 right-angled 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 variate. Curve Fitting. Correlation and Regression.


CLICK
KVS PRT 
WRITTEN 
EXAM
SYLLABUS

CLICK 
FOR KVS
TGT 
SCIENCE 
SYLLABUS

KENDRIYA VIDYALAYA SANGATHAN PRT SYLLABUS KVS PRT EXAMINATION


SYLLABUS FOR Written Examination of Primary teacher (PRT)

There will be following papers:-

i)                    Core language Competency (Hindi and English)
ii)                  General Science
iii)                General Math.
iv)                Environmental science

CORE LANGUAGE COMPETENCY
The candidate should have adequate understanding of English and Hindi to deal with students of Elementary Classes. The ability to comprehend the texts and express them effectively in writing/orally will be measured through written test and interview. English Articles/Determiners, Prepositions, Verb forms, Adjectives, Tenses, Modal Auxiliaries, Active/Passive, Reported speech, Punctuations Letter Writing-formal & informal, Essay on current issues, Speech, vocabulary, idioms and phrases, Antonym & Synonyms, Methods of teaching English at elementary level.

GENERAL SCIENCE
Living word, Human Body, Plant Life, Natural Vegetation and Wild Life, Food, The Universe:- Natural phenomenon, planets, Indian space research programme; Our country - Its surface, natural resources, food & crop. Matter, concept of elements, molecule and atom. Basic structure of atom, Radioactivity, gases and liquids, classification of Hydrocarbons. Chemical and physical changes, Green house effect,  photo synthesis
Motion: displacement, velocity; uniform and non-uniform motion along a straight line; acceleration, distance - time and velocity, idea' of uniform circular motion. Force and motion, inertia, momentum, force and acceleration action and reaction forces. Elementary idea of conservation of momentum, conservation of energy, simple machine. 

GENERAL MATHS
Number System, estimation of' numbers, Place value, use of symbols, word problems on number operations involving large numbers, conversions of units of length & mass, Multiples and factors, odd and prime/composite numbers, prime factorization, HCF and LCM, Rationale numbers. Whole numbers,
Seeing patterns:- identifying and formulating, rules, Integers, Properties of integers, Fractions ,Ratio and Proportion, percentages, profit & loss, work & time velocity & distance simple and compound interest, binomials, polynomials, basic of algebra, linear equation, quadratic equation & word related problems
Basic geometrical ideas: Line, line segment, ray. Open and closed figures. Angle - Vertex, arm, interior and exterior, Triangle vertices, sides, angles, interior, Quadrilateral- Sides, vertices, angles, Circle- Center, radius, diameter, arc, Concept of perimeter Data handling Pictograph- scaling in pictographs and its interpretation. General understanding of perimeter using regular shapes. Shapes of different kinds with the same perimeter. Area of various regular geometric shapes. Measuring areas of different shapes with the help of graph. Concept of volume, measurement of volume using a basic unit, volume of a cube, cuboids and cylinder, Volume and capacity (measurement of capacity). Surface area of a cube, cuboids and cylinder.


ENVIRONMENTAL SCIENCE
Primary Institutions of democracy, Local bodies, State bodies, National bodies, citizen's rights in democracy, Role of panchayat and Nagarpalikas in education, health and other social services. Population growth in India: distribution, density & growth, sex ratio, rural urban composition, education, Human development indicators. Common Diseases, Deficiency diseases & Communicable diseases and their prevention. First Aid and Our Health Services at village and District Level, Natural" Calamities - their causes impact and steps to reduce the effect, Transport and Communication – their impact, Natural Resources- Air,' Water, Soil and Land (Minerals, metals, non-metals), Resources and Development Natural resources:- forest and minerals, Water resources, rivers, irrigation system and crop pattern.
Map of India: - Location of identification, understanding of globe with special reference to Latitude, Longitude & time, Five Years plans, National freedom movement, cultural renaissances, social reformers of India.

SSC CGL PREVIOUS YEAR PAPERS | SSC CGL ENGLISH PAPER | SSC CGL 2010 PAPER

SSC COMBINED GRADUATE LEVEL TIER I EXAM -2010

ENGLISH COMPREHENSION