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

1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic
polynomials.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and graphical method of their
solution, consistency/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in two
variables algebraically - by substitution, by elimination. Simple situational problems.
3. QUADRATIC EQUATIONS
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 be
incorporated.
4. ARITHMETIC PROGRESSIONS
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the
first n terms of A.P. and their application in solving daily life problems.

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

1. TRIANGLES
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 two
sides 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
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.

1. INTRODUCTION TO TRIGONOMETRY
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
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be
given.
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°.

1. AREAS RELATED TO CIRCLES
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
Surface areas and volumes of combinations of any two of the following: cubes, cuboids,
spheres, hemispheres and right circular cylinders/cones.

1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY =
Classical definition of probability. Simple problems on finding the probability of an
event.

Chemical reactions, Chemical equation, Balanced
chemical equation, types of chemical reactions: combination, decomposition,
displacement, double displacement, precipitation, endothermic exothermic reactions,
oxidation and reduction.

Acids and Bases – definitions in terms of furnishing of H+ and
OH– ions, identification using indicators, chemical 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.

Properties of metals and non-metals; Reactivity series;
Formation and properties of ionic compounds; Basic metallurgical processes; Corrosion
and its prevention.

Covalent bonds – formation and properties of covalent
compounds, Versatile nature of carbon, Hydrocarbons – saturated and unsaturated
Homologous series. Nomenclature of alkanes, alkenes, alkyne and carbon compounds
containing functional groups (halogens, alcohol, ketones, aldehydes). Chemical
properties of carbon compounds (combustion, oxidation, addition and substitution
reaction). Ethanol and Ethanoic acid (only properties and uses), soaps anddetergents.

‘Living Being’. Basic concept of nutrition, respiration, transport and
excretion in plantsand animals.

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 in animals and plants (asexual and sexual) reproductive
health - needand methods of family planning. Safe sex vs HIV/AIDS. Child bearing and
women’s health.

Heredity; Mendel’s contribution- Laws for inheritance of traits:
Sex determination; brief introduction.

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
(Derivationnot required); Magnification. Power of a lens.
Functioning of a lens in human eye, defects of vision and their corrections, applications
ofspherical 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).

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 field, field lines, field due to a current carrying
conductor, field due to current carrying coil or solenoid; Force on current carrying
10
conductor, Fleming’s Left Hand Rule, Direct current. Alternating current: frequency of AC.
Advantage of AC over DC. Domestic electric circuits.

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