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Annual Syllabus (2023-24)
Class – X
Mathematics (Subject Code: 041 & 241)
Course Structure
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 & Probability 11
Total 80
Internal Assessment 20
Grand Total 100
Chapter 1: Real Numbers
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating
and motivating through examples, Proofs of irrationality of √2, √3 and √5.
Chapter 2: Polynomials
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
Chapter 3: 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. Solutions of a pair of linear equations in two variables
algebraically – by substitution, by elimination. Simple situational problems.
Chapter 6: 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.
Chapter 7: Coordinate Geometry
Review: Concepts of co-ordinate geometry, graphs of linear equations. Distance formula. Section formula
(internal division).
Chapter 8: 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 00 and 900. Values of the trigonometric ratios of 300, 450 and
600. Relationships between the ratios.
Proof and applications of the identity sin2 A + cos2A = 1. Only simple identities to be given.
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Chapter 9: Some Applications of Trigonometry
Angle of Elevation, Angle of Depression, Simple problems on heights and distances. Problems should not
involve more than two right triangles. Angles of elevation / depression should be only 300, 450, 600
Chapter 12: Area 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 60º, 90º and 120º only.)
Chapter 14: Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided).
➢ The above content is to be completed for Mid Term Examination by 15th September, 2023.
➢ Mental Maths & Maths Lab Activities
➢ Revision of syllabus for Mid Term Examination.
Mid Term Examination – 2023
Chapter 4: 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.
Chapter 5: 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.
Chapter 10: 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.
Chapter 13: 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.
Chapter 15: Probability
Classical definition of probability. Simple problems on finding the probability of an event.
➢ The whole syllabus is to be completed by 15th December, 2023.
➢ Mental Maths & Maths Lab activities
➢ Revision for Pre-Board Examination
Pre-Board Examination
➢ Revision of sample question papers provided by CBSE as well as D.O.E.
➢ Revision for Annual Board Examination – 2024
➢ Annual Board Examination will be based on complete syllabus.
Board Examination – 2024
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Mathematics - Standard
Code (041)
Understanding: Demonstrate understanding of facts and ideas by 43 54
19 24
Present and defend opinions by making judgments about 18 22
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Mathematics - Basic
Code (241)
Understanding: Demonstrate understanding of facts and ideas by 60 75
12 15
Present and defend opinions by making judgments about 8 10
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