580+ Hrs. of Extensive Studies for Mathematics, Science, English and Social Science with aprox. 140+ Hrs. devoted on each subject. Along with this Class Tests, Assignments, Doubt Sessions, Syllabus Revision in the end also included. Our expert faculties are Masters Qualified in their specialized subject and having more than 10+ years of experience and expertise to provide in depth knowledge for the subject concerned.

The Central Board of Secondary Education (CBSE) Class 10 curriculum is designed to provide a comprehensive foundation across various subjects, preparing students for higher education and future careers. The curriculum emphasizes both academic knowledge and the development of critical skills.

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Pattern of Studies

● Interactive Classes
● Home Assignments
● Class Notes
● Periodic Class Tests
● Student's Monthly Report
● One to One Attention
● Doubt Classes
● Syllabus Revision

Report Analysis Parameters

● Tests Marks
● Attendance
● Class Discipline
● Class Response
● Home Assignments
● Student's Comparison with Class
● Last 3 Months Performance
● Special Remarks

Student's Sample Report

Class Tests

● Two tests per subject in a month
● Test schedule on Saturday in extra hours
● Result within 3 days of test conduct
● Test discussion on result day
● Mistakes rectification briefing

Pattern of Studies at KVT

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Conduct of Classes

● On board explanation with notes
● Make Concept clear with practical examples
● Interactive class sessions
● Home work / Assignment at the end of the class
● Home work / Assignment check in the next class
● Quick recap of previous class in the next class
● Two tests per month/subject on Saturdays
● Class duration 1 Hr/sub alternate days (3Hrs./wk)
● Extra classes provided when needed

Classes Schedule 2024-25

Science Students Class XI-XII

Note: Class Tests will be conducted on Saturday in extra hours

Syllabus & Marks Weightage [Maths] Class 10

Syllabus & Marks Weightage [Science] Class 10

Syllabus & Marks Weightage [Maths] Class 09

Syllabus & Marks Weightage [Science] Class 09

Detailed Syllabus [ Maths ] X

UNIT I: NUMBER SYSTEMS

1.REAL NUMBER(15)Periods
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality

UNIT II: ALGEBRA

1.POLYNOMIALS (8) Periods
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2.PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods
Pair of linear equations in two variables and graphical method of theirsolution, consistency/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in twovariables algebraically - by substitution, by elimination. Simple situational problems.

3.QUADRATIC EQUATIONS (15) Periods
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to being coorporated.

4.ARITHMETIC PROGRESSIONS (10) Periods
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of thefirst n terms of A.P. and their application in solving daily life problems.

UNIT III: COORDINATE GEOMETRY

Coordinate Geometry (15)Periods
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

UNIT IV: GEOMETRY

1.TRIANGLES(15)Periods
Definitions, examples, counter examples of similar triangles.
1.(Prove) If a line is drawn parallel to one side of a triangle to intersect the other twosides in distinct points, the other two sides are divided in the same ratio.
2.(Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3.(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4.(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5.(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

2.CIRCLES(10)Periods
Tangent to a circle at, point of contact
1.(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2.(Prove) The lengths of tangents drawn from an external point to a circle are equal.

UNIT V: TRIGONOMETRY

1.INTRODUCTION TO TRIGONOMETRY (10) Periods
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

2.TRIGONOMETRIC IDENTITIES (15) Periods
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to begiven.

3.HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

UNIT VI: MENSURATION

1.AREAS RELATED TO CIRCLES (12) Periods
Area of sectors and segments of a circle. Problems based on areas and perimeter /circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.

2.SURFACE AREAS AND VOLUMES (12) Periods
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

1.STATISTICS (18)Periods
Mean, median and mode of grouped data (bimodal situation to be avoided).

2.PROBABILITY (10) Periods
Classical definition of probability. Simple problems on finding the probability of an event.

Detailed Syllabus [ Science ] X

Theme: Materials

Unit I: Chemical Substances - Nature and Behaviour

Chemical reactions: Chemical equation, Balanced chemical equation, implications of a balanced chemical equation, types of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, endothermic exothermic reactions, oxidation and reduction.
Acids, bases and salts: Their definitions in terms of furnishing of H+ and OH– ions, General properties, examples and uses, neutralization, concept of pH scale (Definition relating to logarithm not required), importance of pH in everyday life; preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.
Metals and nonmetals: Properties of metals and non-metals; Reactivity series; Formation and properties of ionic compounds; Basic metallurgical processes; Corrosion and its prevention.
Carbon compounds: Covalent bonding in carbon compounds. Versatile nature of carbon. Homologous series. Nomenclature of carbon compounds containing functional groups (halogens, alcohol, ketones, aldehydes, alkanes and alkynes), difference between saturated hydro carbons and unsaturated hydrocarbons. Chemical properties of carbon compounds (combustion, oxidation, addition and substitution reaction). Ethanol and Ethanoic acid (only properties and uses), soaps and detergents.

Theme: The World of the Living

Unit II: World of Living

Life processes: ‘Living Being’. Basic concept of nutrition, respiration, transport and excretion in plants and animals.

Control and co-ordination in animals and plants: Tropic movements in plants; Introduction of plant hormones; Control and co-ordination in animals: Nervous system; Voluntary, involuntary and reflex action; Chemical co-ordination: animal hormones.
Reproduction: Reproduction in animals and plants (asexual and sexual) reproductive health - need and methods of family planning. Safe sex vs HIV/AIDS. Child bearing and women’s health.
Heredity and Evolution: Heredity; Mendel’s contribution- Laws for inheritance of traits: Sex determination: brief introduction: (topics excluded - evolution; evolution and classification and evolution should not be equated with progress).

Theme: Natural Phenomena

Unit III: Natural Phenomena

Reflection of light by curved surfaces; Images formed by spherical mirrors, centre of curvature, principal axis, principal focus, focal length, mirror formula (Derivation not required),magnification.
Refraction; Laws of refraction, refractive index.
Refraction of light by spherical lens; Image formed by spherical lenses; Lens formula (Derivation not required); Magnification. Power of a lens.
Functioning of a lens in human eye, defects of vision and their corrections, applications of spherical mirrors and lenses.
Refraction of light through a prism, dispersion of light, scattering of light, applications in daily life (excluding colour of the sun at sunrise and sunset).

Theme: How Things Work

Unit IV: Effects of Current

Electric current, potential difference and electric current. Ohm’s law; Resistance, Resistivity, Factors on which the resistance of a conductor depends. Series combination of resistors, parallel combination of resistors and its applications in daily life. Heating effect of electric current and its applications in daily life. Electric power, Interrelation between P, V, I and R.
Magnetic effects of current: Magnetic field, field lines, field due to a current carrying conductor, field due to current carrying coil or solenoid; Force on current carrying conductor, Fleming’s Left Hand Rule, Direct current. Alternating current: frequency of AC. Advantage of AC over DC. Domestic electric circuits.

Theme: Natural Resources

Unit V: Natural Resources

Our environment: Eco-system, Environmental problems, Ozone depletion, waste production and their solutions. Biodegradable and non-biodegradable substances.

Detailed Syllabus [ Maths ] IX

UNIT I: NUMBER SYSTEMS

1.REAL NUMBERS(18)Periods
1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
2.Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers(irrational numbers) such as, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
3.Definition of nth root of a real number.
4.Rationalization (with precise meaning) of real numbers of the type and (and their combinations) where x and y are natural number and a and b are integers.
5.Recall of laws of exponents with integral powers. Rational exponents with positive real bases(to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1.POLYNOMIALS (26) Periods
Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
Recall of algebraic expressions and identities. Verification of identities: and their use in factorization of polynomials.

2.LINEAR EQUATIONS IN TWO VARIABLES (16) Periods
Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY

COORDINATE GEOMETRY (7)Periods
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1.INTRODUCTION TO EUCLID'S GEOMETRY (7) Periods
History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them.
(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.

2.LINES AND ANGLES(15)Periods
1.(Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180Oand the converse.
2.(Prove) If two lines intersect, vertically opposite angles are equal.
3.(Motivate) Lines which are parallel to a given line are parallel.

3.TRIANGLES(22)Periods

1.(Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
2.(Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
3.(Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
4.(Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
5.(Prove) The angles opposite to equal sides of a triangle are equal.
6.(Motivate) The sides opposite to equal angles of a triangle are equal.

4.QUADRILATERALS(13)Periods
1.(Prove) The diagonal divides a parallelogram into two congruent triangles.
2.(Motivate) In a parallelogram opposite sides are equal, and conversely.
3.(Motivate) In a parallelogram opposite angles are equal, and conversely.
4.(Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
5.(Motivate) In a parallelogram, the diagonals bisect each other and conversely.
6.(Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

5.CIRCLES (17) Periods
1.(Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
2.(Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
3.(Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center(or their respective centers) and conversely.
4.(Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
5.(Motivate) Angles in the same segment of a circle are equal.
6.(Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
7.(Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT V: MENSURATION

1.AREAS(5)Periods
Area of a triangle using Heron's formula (without proof)

2.SURFACE AREAS AND VOLUMES (17)Periods
Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS

STATISTICS (15)Periods
Bar graphs, histograms (with varying base lengths), and frequency polygons.

Detailed Syllabus [ Science ] IX

Theme: Materials

Unit I: Matter-Nature and Behaviour

Definition of matter; solid, liquid and gas; characteristics - shape, volume, density; change of state- melting (absorption of heat), freezing, evaporation (cooling by evaporation), condensation, sublimation.
Nature of matter: Elements, compounds and mixtures. Heterogeneous and homogenous mixtures, colloids and suspensions. Physical and chemical changes (excluding separating the components of a mixture).
Particle nature and their basic units: Atoms and molecules, Law of Chemical Combination, Chemical formula of common compounds, Atomic and molecular masses.
Structure of atoms: Electrons, protons and neutrons, Valency, Atomic Number and Mass Number, Isotopes and Isobars.

Theme: The World of the Living

Unit II: Organization in the Living World

Cell - Basic Unit of life : Cell as a basic unit of life; prokaryotic and eukaryotic cells, multicellular organisms; cell membrane and cell wall, cell organelles and cell inclusions; chloroplast, mitochondria, vacuoles, endoplasmic reticulum, Golgi apparatus; nucleus, chromosomes - basic structure, number.
Tissues, Organs, Organ System, Organism:
Structure and functions of animal and plant tissues (only four types of tissues in animals; Meristematic and Permanent tissues in plants).

Theme: Moving Things, People and Ideas

Unit III: Motion, Force and Work

Motion: Distance and displacement, velocity; uniform and non-uniform motion along a straight line; acceleration, distance-time and velocity-time graphs for uniform motion and uniformly accelerated motion, elementary idea of uniform circular motion.
Force and Newton’s laws : Force and Motion, Newton’s Laws of Motion, Action and Reaction forces, Inertia of a body, Inertia and mass, Momentum, Force and Acceleration.
Gravitation: Gravitation; Universal Law of Gravitation, Force of Gravitation of the earth (gravity), Acceleration due to Gravity; Mass and Weight; Free fall.
Floatation: Thrust and Pressure. Archimedes’ Principle; Buoyancy.
Work, Energy and Power: Work done by a Force, Energy, power; Kinetic and Potential energy; Law of conservation of energy (excluding commercial unit of Energy).
Sound: Nature of sound and its propagation in various media, speed of sound, range of hearing in humans; ultrasound; reflection of sound; echo.

Theme: Food

Unit IV: Food Production

Plant and animal breeding and selection for quality improvement and management; Use of fertilizers and manures; Protection from pests and diseases; Organic farming.