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## COURSE STRUCTURE CLASS -X

Sections

Maths syllabus Class X

Science syllabus Class X

## Maths syllabus CLASS -X Stroke 396

Units Unit Name Marks
I NUMBER SYSTEMS 06
II ALGEBRA 20
III COORDINATE GEOMETRY 06
IV GEOMETRY 15
V TRIGONOMETRY 12
VI MENSURATION 10
VII STATISTICS & PROBABILTY 11
Total 80

## UNIT I: NUMBER SYSTEMS

• 1. REAL NUMBER (15) Periods
• Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of
• irrationality of √2, √3 √5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

## UNIT II: ALGEBRA

1. POLYNOMIALS (7) Periods
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 (15) Periods
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 and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.
• 3. QUADRATIC EQUATIONS (15) Periods
Standard form of a quadratic equation ax 2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square 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 (8) Periods
Motivation for studying Arithmetic Progression Derivation of the n th term and sum of the first n terms of A.P. and their application in solving daily life problems.

## UNIT III: COORDINATE GEOMETRY

• 1. LINES (In two-dimensions) (14) Periods
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

## 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 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 of 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 angle.

## 2. CIRCLES (8) 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.
• 3. CONSTRUCTIONS (8) Periods
• 1. Division of a line segment in a given ratio (internally).
• 2. Tangents to a circle from a point outside it.
• 3. Construction of a triangle similar to a given triangle

## 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 0 oand 90 o. Values (with proofs) of the trigonometric ratios of 30 0, 45 0 and 60 0. Relationships between the ratios.
• 2. TRIGONOMETRIC IDENTITIES (15) Periods
Proof and applications of the identity sin 2A + cos 2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
• 3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (8) 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°, 60°.

## UNIT VI: MENSURATION

• 1. AREAS RELATED TO CIRCLES (12) Periods
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 (12) Periods
1. 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.
• 2. 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).

## UNIT VII: STATISTICS AND PROBABILITY

• 1. STATISTICS (18) Periods
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
• 2. PROBABILITY (10) Periods
Classical definition of probability. Simple problems on single events (not using set notation).

## QUESTIONS PAPER DESIGN 2018–19

Mathematics (Code No. 041) Marks: 80

S. No Typology of Questions Very Short Answer (VSA) (1 Mark) Short Answer-I (SA) (2 Marks) Short Answer-II (SA) (3 Marks) Long Answer (LA) (4 Marks) Total Marks % Weightage (approx.)
1 Remembering- (Knowledge based- Simple recall questions, to know specific facts, terms, concepts, principles or theories; Identify, define, or recite, information) 2 2 2 2 20 25%
2 Understanding- (Comprehension- to be familiar with meaning and to understand conceptually, interpret, compare, contrast, explain, paraphrase, or interpret information) 2 1 1 4 23 29%
3 Application (Use abstract information in concrete situation, to apply knowledge to new situation; Use given content to interpret a situation, provide an example, or solve a problem) 2 2 1 3 19 24%
4 Higher Order Thinking Skills (Analysis & Synthesis- Classify, compare, contrast, or differentiate between different pieces of information; Organize and /or integrate unique pieces of information from variety of sources ) - 1 4 - 14 17%
5 Evaluation ( Judge, and/or justify the value or worth of a decision or outcome, or to predict outcomes based on values) - - - 1 4 5%
Total 6x1=6 6x2=12 10x3=30 8x4=32 80 100%
 INTERNAL ASSESSMENT 20 Marks • Periodical Test 10 Marks • Note Book Submission 05 Marks • Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

## Science syllabus CLASS X (Annual Examination)Stroke 396

Units Unit Name Marks
I Chemical Substances-Nature and Behaviour 25
II World of Living 23
III Natural Phenomena 12
IV Effects of Current 13
V Natural Resources 07
Total 80
Internal assessment 20
Grand Total 100

Note: Above weightage includes the weightage of questions based on practical skills.

## UNIT I: Chemical Substances-Nature and Behaviour

Theme: Materials (55 Periods)

### 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, 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 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 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, Early attempts at classification of elements (Dobereiner’s Triads, Newland’s Law of Octaves, Mendeleev’s Periodic Table), Modern periodic table, gradation in properties, valency, atomic number, metallic and non-metallic properties.

### 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; Basic concepts of evolution.

### 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.

### 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, Electric Motor, Electromagnetic induction. Induced potential difference, Induced current. Fleming’s Right Hand Rule, Electric Generator, Direct current. Alternating current : frequency of AC. Advantage of AC over DC. Domestic electric circuits.

### Unit V: 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 of Energy.
• Our environment: Eco-system, Environmental problems, Ozone depletion, waste production and their solutions. Biodegradable and non-biodegradable substances.
• 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. Big dams: advantages and limitations; alternatives, if any. Water harvesting. Sustainability of natural resources.

### Practical should be conducted alongside the concepts taught in theory classes LIST OF EXPERIMENTS

• 1. A. Finding the pH of the following samples by using pH paper/universal indicator:
• (i) Dilute Hydrochloric Acid
• (ii) Dilute NaOH solution
• (iii) Dilute Ethanoic Acid solution
• (iv) Lemon juice
• (v) Water
• (vi) Dilute Hydrogen Carbonate solution
• B. Studying the properties of acids and bases (HCl & NaOH) on the basis of their reaction with:
• a) Litmus solution (Blue/Red)
• b) Zinc metal
• c) Solid sodium carbonate
• 2. Performing and observing the following reactions and classifying them into
• A. Combination reaction
• B. Decomposition reaction
• C. Displacement reaction
• D. Double displacement reaction
• (i) Action of water on quick lime
• (ii) Action of heat on ferrous sulphate crystals
• (iii) Iron nails kept in copper sulphate solution
• (iv) Reaction between sodium sulphate and barium chloride solutions
• 3. Observing the action of Zn, Fe, Cu and Al metals on the following salt solutions:
• i) ZnSO 4 (aq)
• ii) FeSO 4 (aq)
• iii) CuSO 4 (aq)
• iv) Al 2 (SO 4)3 (aq)

Arranging Zn, Fe, Cu and Al (metals) in the decreasing order of reactivity based on the above result.

• 4. Studying the dependence of potential difference (V) across a resistor on the current (I) passing through it and determine its resistance. Also plotting a graph between V and I.
• 5. Determination of the equivalent resistance of two resistors when connected in series and parallel.
• 6. Preparing a temporary mount of a leaf peel to show stomata.
• 7 Experimentally show that carbon dioxide is given out during respiration. 8 Study of the following properties of acetic acid (ethanoic acid):
• i) odour
• ii) solubility in water
• iii) effect on litmus
• iv) reaction with Sodium Hydrogen Carbonate
• 9 Study of the comparative cleaning capacity of a sample of soap in soft and hard water.
• 10 Determination of the focal length of:
• i) Concave mirror
• ii) Convex lens
• by obtaining the image of a distant object.
• 11 Tracing the path of a ray of light passing through a rectangular glass slab for different angles of incidence. Measure the angle of incidence, angle of refraction, angle of emergence and interpret the result.
• 12 Studying (a) binary fission in Amoeba, and (b) budding in yeast and Hydra with the help of prepared slides.
• 13 Tracing the path of the rays of light through a glass prism.
• 14 Finding the image distance for varying object distances in case of a convex lens and drawing corresponding ray diagrams to show the nature of image formed.
• 15 Identification of the different parts of an embryo of a dicot seed (Pea, gram or red kidney bean).

### PRESCRIBED BOOKS:

• Science - Textbook for class IX - NCERT Publication
• Science - Textbook for class X - NCERT Publication
• Assessment of Practical Skills in Science - Class IX - CBSE Publication
• Assessment of Practical Skills in Science - Class X - CBSE Publication
• Laboratory Manual - Science - Class IX , NCERT Publication
• Laboratory Manual - Science - Class X, NCERT Publication
• Exemplar Problems Class IX - NCERT Publication
• Exemplar Problems Class X - NCERT Publication

## QUESTIONS PAPER DESIGN 2018–19

Mathematics (Code No. 041) Marks: 80

S. No Typology of Questions Very Short Answer (VSA) (1 Mark) Short Answer-I (SAI (2 Marks) Short Answer-II (SAII (3 Marks) Long Answer (LA) (5 Marks) Total Marks % Weight age
1 Remembering- (Knowledge based- Simple recall questions, to know specific facts, terms, concepts, principles or theories; Identify, define, or recite, information) 2 1 1 - 10 15%
2 Understanding- (Comprehension- to be familiar with meaning and to understand conceptually, interpret, compare, contrast, explain, paraphrase, or interpret information) 1 1 4 2 24 35%
3 Application (Use abstract information in concrete situation, to apply knowledge to new situation; Use given content to interpret a situation, provide an example, or solve a problem) - 1 2 2 18 26%
4 Higher Order Thinking Skills (Analysis & Synthesis- Classify, compare, contrast, or differentiate between different pieces of information; Organize and /or integrate unique pieces of information from variety of sources ) - - 1 1 8 12%
5 Evaluation ( Judge, and/or justify the value or worth of a decision or outcome, or to predict outcomes based on values) 1 - 2 - 8 12%
Total (Theory Based Questions) 2x1=2 3x2=6 10x3=30 6x5=30 68(21) 100%
Practical Based Questions (PBQs) 6x2=12 - - 12(6)
Total 2x1=2 9x2=18 10x3=30 6x5=30 80(27)

1. Question paper will consist of 27 questions.

2. All questions would be compulsory. However, an internal choice will be provided in three questions of 3 marks each, two questions of 5 marks each and one question (for assessing the practical skills) of 2 marks.