Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# Mathematics Class 10th SSLC (English Medium) Tamil Nadu Board of Secondary Education Topics and Syllabus

Tamil Nadu Board of Secondary Education Syllabus For Class 10th Mathematics: Knowing the Syllabus is very important for the students of Class 10th. Shaalaa has also provided a list of topics that every student needs to understand.

The Tamil Nadu Board of Secondary Education Class 10th Mathematics syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the Class 10th Mathematics Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Tamil Nadu Board of Secondary Education Class 10th Mathematics Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for Class 10th Mathematics in addition to this.

## Tamil Nadu Board of Secondary Education Class 10th Mathematics Revised Syllabus

Tamil Nadu Board of Secondary Education Class 10th Mathematics and their Unit wise marks distribution

## Syllabus

1 Relations and Functions
2 Numbers and Sequences
3 Algebra
• Introduction to Algebra
• Simultaneous Linear Equations in Three Variables
• System of Linear Equations in Three Variables
• GCD and LCM of Polynomials
• Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of Polynomials
• Least Common Multiple (LCM) of Polynomials
• Relationship between LCM and GCD
• Rational Expressions
• Reduction of Rational Expression
• Excluded Value
• Operations of Rational Expressions
- Multiplication of Rational Expressions
- Division of Rational Expressions
- Addition and Subtraction of Rational Expressions
Addition and Subtraction of Rational Expressions with Like Denominators
- Addition and Subtraction of Rational Expressions with unlike Denominators
• Square Root of Polynomials
• Find the Square Root by Factorization Method
• Finding the Square Root of a Polynomial by Division Method
• Zeroes of a Quadratic Polynomial
• Formation of a Quadratic Equation
- Solving a quadratic equation by factorization method
- Solving a Quadratic Equation by Completing the Square Method
- Solving a Quadratic Equation by Formula Method
• Solving Problems Involving Quadratic Equations
• Nature of Roots of a Quadratic Equation
• The Relation between Roots and Coefficients of a Quadratic Equation
• Graph of Variations
• Variables
• Constants
• Two types of variation: Direct variation, Indirect variation
• Finding the Nature of Solution of Quadratic Equations Graphically
• Solving quadratic equations through the intersection of lines
• Matrices
• Order of a Matrix
• Types of Matrices - Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Identity (or) Unit Matrix, Zero matrix (or) null matrix, Transpose of a matrix, Triangular Matrix, Equal Matrices, The negative of a matrix
• Operations on Matrices
- Addition and subtraction of matrices
- Multiplication of Matrix by a Scalar
- Properties of Matrix Addition and Scalar Multiplication
- Multiplication of Matrices
- Properties of Multiplication of Matrix
(a) Matrix multiplication is not commutative in general
(b) Matrix multiplication is distributive over matrix addition
(c) Matrix multiplication is always associative
(d) Multiplication of a matrix by a unit matrix
4 Geometry
• Introduction of Geometry
• Similarity
• Similar triangles
• Criteria of Similarity
- AA Criterion of similarity
- SAS Criterion of similarity
- SSS Criterion of similarity
• Construction of similar triangles
• Thales Theorem and Angle Bisector Theorem
• Basic Proportionality Theorem (BPT) or Thales theorem Statement
• Converse of Basic Proportionality Theorem
• Angle Bisector Theorem
• Converse of Angle Bisector Theorem
• Construction of triangle
- Construction of a segment of a circle on a given line segment containing an angle θ.
- Construction of a triangle when its base, the vertical angle, and the median from the vertex of the base are given.
- Construct a triangle when its base, the vertical angle, and the altitude from the vertex to the base are given.
- Construct a triangle when its base, the vertical angle, and the point on the base where the bisector of the vertical angle meets the base.
• Right-angled Triangles and Pythagoras Property
• Converse of Pythagoras Theorem
• Circles and Tangents
• Real-life examples of tangents to circles
• Some results on circles and tangents
• Alternate Segment theorem
• Construction
- Construction of a tangent to a circle (Using the center)
- Construct of a tangent to a circle (Using alternate segment theorem)
- Construction of pair of tangents to a circle from an external point P.
• Concurrency Theorems
• Special cevians
• Ceva’s Theorem
• Menelaus Theorem
5 Coordinate Geometry
6 Trigonometry
8 Statistics and Probability