Science Class 10 Syllabus
Course Structure
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First Term Units
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Marks
|
|
Second
Term Units
|
|
|
|
|
I.
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Chemical Substances
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33
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I.
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Chemical
Substances - Nature & Behaviour
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23
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|
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II.
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World of Living
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21
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II.
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World
of Living
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30
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|
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III.
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Effects of Current
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29
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III.
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Natural
Phenomenon
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29
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|
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IV.
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Natural Resources
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7
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IV.
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Natural
Resources
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8
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90
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90
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|||
First Term SA-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, neutralization, oxidation and reduction.
Acids, bases and salts: Their definitions in terms of furnishing
of H+ and OH- ions, General properties, examples and uses, 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 non metals: Properties of metals and non-metals,
reactivity series, formation and properties of ionic compounds, basic
metallurgical processes, corrosion and its prevention.
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
to plant hormones; control and co-ordination in animals : nervous system;
voluntary, involuntary and reflex action, chemical co-ordination: animal
hormones.
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, Inter relation 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.
Electromagnetic induction. Induced potential difference, Induced current.
Fleming's Right Hand Rule, Direct current. Alternating current : frequency
of AC. Advantage of AC over DC. Domestic electric circuits.
Natural
Resources
Sources of energy: Different forms of energy, conventional
and non-conventional sources of energy: fossil fuels, solar energy;
biogas; wind, water and tidal energy; nuclear energy. Renewable versus
non-renewable sources.
Second Term SA-II
Chemical Substances -
Nature and Behaviour
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 hydrocarbons 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.
Periodic classification of elements: Need for classification, Modern periodic
table, gradation in properties, valency, atomic number, metallic and
non-metallic properties.
World
of Living
Reproduction: Reproduction
in animal and plants (asexual and sexual) reproductive health-need for and
methods of family planning. safe sex vs HIV/AIDS. Child bearing and
women's health.
Heridity and evolution: Heredity; Mendel's contribution- Laws
for inheritance of traits: Sex determination: brief introduction; Basic
concepts of evolution.
Natural
Phenomenon
Reflection
of light at 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.
Natural
Resources
Conservation
of natural resources
Management
of natural resources. Conservation and judicious use of natural resources.
Forest and wild life, coal and petroleum conservation. Examples of
People's participation for conservation of natural resources.
The Regional environment: Big dams : advantages and limitations;
alternatives if any. Water harvesting. Sustainability of natural
resources.
Our environment: Eco-system,
Environmental problems, Ozone depletion, waste production and their
solutions. Biodegradable and non-biodegradable substances.
Mathematics Class 10 Syllabus
Course Structure
|
First Term Units (SA-I)
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Marks
|
|
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I.
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Number System
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11
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II.
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Algebra
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23
|
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III.
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Geometry
|
17
|
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IV.
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Trigonometry
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22
|
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V.
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Statistics
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17
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|
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Total
|
90
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|
Second Term Units (SA-II)
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Marks
|
|
|
II.
|
Algebra (contd.)
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23
|
|
III.
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Geometry (contd.)
|
17
|
|
IV.
|
Trigonometry
(contd.)
|
8
|
|
V.
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Probability
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8
|
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VI.
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Co-ordinate Geometry
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11
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VII.
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Mensuration
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23
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|
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Total
|
90
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·
The Question Paper
includes value based questionto the extent of 3-5 marks.
·
As per CCE guidelines,
the syllabus of Mathematics for classes IX and X has been divided term wise.
·
The units specified
for each term will be assessed through both formative and summative assessment.
·
In each term, there
will be two formative assessments, each carrying 10% weightage.
·
The summative
assessment in term I will carry 30% weightage and the summative asssessment in
the term II will carry 30% weightage.
First Term Syllabus
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS
Euclid's division lemma, Fundamental Theorem
of Arithmetic - statements after reviewing work done earlier and after
illustrating and motivating through examples, Proofs of results -
irrationality of Ö2, Ö3, Ö5, decimal expansions of rational numbers
in terms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between
zeros and coefficients of quadratic polynomials. Statement and simple
problems on division algorithm for polynomials with real coefficients.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and
their graphical solution. Geometric representation of different possibilities
of solutions/inconsistency. Algebraic conditions for number of
solutions. Solution of a pair of linear equations in two variables
algebraically - by substitution, by elimination and by cross
multiplication method. Simple situational problems must be included. Simple
problems on equations reducible to linear equations may be included.
UNIT III: GEOMETRY
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.
6. (Motivate) If a perpendicular is drawn from
the vertex of the right angle of a right triangle to the hypotenuse, the
triangles on each side of the perpendicular are similar to the whole
triangle and to each other.
7. (Prove) The ratio of the areas of two
similar triangles is equal to the ratio of the squares on their corresponding
sides.
8. (Prove) In a right triangle, the square on
the hypotenuse is equal to the sum of the squares on the other two sides.
9. (Prove) In a triangle, if the square on one
side is equal to sum of the squares on the other two sides, the angles
opposite to the first side is a right traingle.
UNIT IV: TRIGONOMETRY
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 0° and 90°. Values (with proofs) of the
trigonometric ratios of 30°, 45° and 60°. Relationships between the
ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
Trigonometric ratios of complementary angles.
UNIT V: STATISTICS AND
PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal
situation to be avoided). Cumulative frequency graph.
Second Term Syllabus
UNIT II: ALGEBRA
(Contd.)
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 0). Solution of the quadratic
equations (only real roots) by factorization, by completing the square and
by using quadratic formula. Relationship between discriminant and nature
of roots.
Problems related to day to day activities to
be incorporated.
4. ARITHMETIC PROGRESSIONS
Motivation for studying Arithmetic Progression
Derivation of standard results of finding the nth term and sum of first n
terms and their application in solving daily life problems.
UNIT III: GEOMETRY
(Contd.)
2. CIRCLES
Tangents to a circle motivated by chords drawn
from points coming closer and closer to the point.
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 circle are equal.
3. CONSTRUCTIONS
·
1. Division of a line
segment in a given ratio (internally).
·
2. Tangent to a circle
from a point outside it.
·
3. Construction of a
triangle similar to a given triangle.
UNIT IV: TRIGONOMETRY
3. HEIGHTS AND DISTANCES
Simple and believable problems on heights and
distances. Problems should not involve more than two right triangles. Angles
of elevation / depression should be only 30°, 45°, 60°.
UNIT V: STATISTICS AND
PROBABILITY
2. PROBABILITY
Classical definition of probability.
Connection with probability as given in Class IX. Simple problems on single
events, not using set notation.
UNIT VI: COORDINATE
GEOMETRY
1. LINES (In two-dimensions)
Review the concepts of coordinate geometry
done earlier including graphs of linear equations. Awareness of
geometrical representation of quadratic polynomials. Distance between two points
and section formula (internal). Area of a triangle.
UNIT VII: MENSURATION
1. AREAS RELATED TO CIRCLES
Motivate the area of a circle; 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. Plane figures involving triangles, simple
quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES
(i) Problems on finding surface areas and
volumes of combinations of any two of the following: cubes,
cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum
of a cone.
(ii) Problems involving converting one type of
metallic solid into another and other mixed problems. (Problems
with combination of not more than two different solids be taken.)
NTSE Class 10 Syllabus and Exam Pattern
The National Talent Search Examination is conducted for students
studying at the Class X level. The examination consists of two tests:
1. Mental Ability Test (MAT)
2. Scholastic Aptitude Test (SAT)
The questions in the MAT and SAT are
multiple-choice type. Each question has four alternatives. You have to select
one correct answer from the given alternatives and mark its number in the
answer-sheet. Each correct answer carries one mark. Thus, the total
score in a test is equal to the number of questions answered correctly by you.
|
Test
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Questions
|
Marks
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Time
|
|
Mental Ability Test (MAT)
|
50
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50
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45 minutes
|
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Scholastic Aptitude Test
(SAT)
|
|||
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Language Test
|
50
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50
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45 minutes
|
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Science, Mathematics
& Social Science
|
100
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100
|
90 minutes
|
NTSE Mental Ability Test (MAT) Syllabus
This test is given to you to judge your power
of reasoning, ability to think, ability to judge, evaluate or discriminate,
ability to visualize in the space, spatial orientation, etc. A variety of
questions, for example - analogies, classification, series, pattern perception,
hidden figures, coding decoding, block assembly, problem solving, etc. are used
for this purpose.
NTSE Scholastic Aptitude Test (SAT) Syllabus
(Language Test)
Language Test is designed to judge the power
of reading comprehension, logical sequencing; interpretative, evaluative,
predictive and creative components of language. You can appear for the
Language Test either in English or in Hindi.
NTSE Scholastic
Aptitude Test (SAT) Syllabus (Maths, Science & Social Science)
This section is conducted to judge how much of
text-book knowledge you have gained. As India doesn't has any single
unified board system, NCERT has not prescribed any particular syllabus for the
State Level Examination or for National Level Examination.
You can expect questions that are asked at the
National Level (Stage-II) to be standard of Classes IX and X level.
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