# CBSE Class 10 Syllabus Mathematics – 2023 – 24

The CBSE Class 10th Maths syllabus covers a wide range of topics, from basic concepts of number systems to more advanced topics like trigonometry and quadratic equations. The syllabus is designed to give students a strong foundation in mathematics, which will be essential for their future studies and careers.

##### Here is a brief overview of the topics covered in the CBSE Class 10 Maths syllabus for 2023-24

Number Systems

This unit introduces students to the different types of numbers, including natural numbers, integers, rational numbers, and irrational numbers. Students will also learn about the operations of addition, subtraction, multiplication, and division on these different types of numbers.

Algebra

This unit covers topics such as polynomials, quadratic equations, and pair of linear equations in two variables. Students will learn about the properties of polynomials, how to solve quadratic equations, and how to find the solutions of a pair of linear equations in two variables.

Geometry

This unit covers topics such as triangles, circles, and coordinate geometry. Students will learn about the properties of triangles, how to construct circles, and how to find the coordinates of points in the coordinate plane.

Trigonometry

This unit introduces students to the basic concepts of trigonometry, such as trigonometric ratios and identities. Students will also learn how to solve trigonometric equations and how to use trigonometry to solve problems in geometry.

Statistics and Probability

This unit covers topics such as collection and tabulation of data, measures of central tendency, and probability. Students will learn how to collect and organize data, how to calculate measures of central tendency such as the mean, median, and mode, and how to calculate probabilities of events.

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#### COURSE STRUCTURE CLASS –IX

##### UNIT I: NUMBER SYSTEMS

1. Real Number

• Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
##### Unit 2: Algebra

1. Polynomials

• Zeros of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials only.

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 and by elimination. Simple situational problems. Simple problems on equations reducible to linear equations.

4. Arithmetic Progressions

The reason you want to learn about Arithmetic Progression? The nth term and the sum of the first n terms of A.P. are deduced and used to solve difficulties in everyday life.

##### Unit 3: Coordinate Geometry

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

##### Unit 4: Geometry

1. Triangles

Definitions, examples, counter examples of similar triangles.

• (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.
• (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
• (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
• (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
• (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.
• (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.
• (Motivate) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
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2. Circles

Tangent to a circle at point of contact

• (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
• (Prove) The lengths of tangents drawn from an external point to a circle are equal.
##### Unit 5: Trigonometry

1. Introduction To Trigonometry

• Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values 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

3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression.

• Simple height and distance problems. There should be no more than two right triangles in a problem. Elevation/depression angles should be no more than 30°, 45°, and 60°.
##### Unit 6: 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 the area of a segment of a circle, problems should be restricted to the central angle of 60° and 90° only.

2. SURFACE AREAS AND VOLUMES

• Surface areas and volumes of any two of the following combinations: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones
##### Unit 7: Statistics & Probability

1. Statistics

• Mean, median and mode of grouped data (bimodal situation to be excluded).

2. Probability

• Classical definition of probability. Simple problems on finding the probability of an event.