1. Real Numbers

• 1.1 Introduction
• 1.2 Euclid’s Division Lemma
• 1.3 The Fundamental Theorem of Arithmetic
• 1.4 Revisiting Irrational Numbers
• 1.5 Revisiting Rational Numbers and Their Decimal Expansions
• 1.6 Summary

2. Polynomials

• 2.1 Introduction
• 2.2 Geometrical Meaning of the Zeroes of a Polynomial
• 2.3 Relationship between Zeroes and Coefficients of a Polynomial
• 2.4 Division Algorithm for Polynomials
• 2.5 Summary

3. Pair of Linear Equations in Two Variables

• 3.1 Introduction
• 3.2 Pair of Linear Equations in Two Variables
• 3.3 Graphical Method of Solution of a Pair of Linear Equations
• 3.4 Algebraic Methods of Solving a Pair of Linear Equations
• 3.4.1 Substitution Method
• 3.4.2 Elimination Method
• 3.4.3 Cross-Multiplication Method
• 3.5 Equations Reducible to a Pair of Linear Equations in Two Variables
• 3.6 Summary

• 4.1 Introduction
• 4.3 Solution of a Quadratic Equation by Factorisation
• 4.4 Solution of a Quadratic Equation by Completing the Square
• 4.5 Nature of Roots
• 4.6 Summary

5. Arithmetic Progressions

• 5.1 Introduction
• 5.2 Arithmetic Progressions
• 5.3 nth Term of an AP
• 5.4 Sum of First n Terms of an AP
• 5.5 Summary

6. Triangles

• 6.1 Introduction
• 6.2 Similar Figures
• 6.3 Similarity of Triangles
• 6.4 Criteria for Similarity of Triangles
• 6.5 Areas of Similar Triangles
• 6.6 Pythagoras Theorem
• 6.7 Summary

7. Coordinate Geometry

• 7.1 Introduction
• 7.2 Distance Formula
• 7.3 Section Formula
• 7.4 Area of a Triangle
• 7.5 Summary

8. Introduction to Trigonometry

• 8.1 Introduction
• 8.2 Trigonometric Ratios
• 8.3 Trigonometric Ratios of Some Specific Angles
• 8.4 Trigonometric Ratios of Complementary Angles
• 8.5 Trigonometric Identities
• 8.6 Summary

9. Some Applications of Trigonometry

• 9.1 Introduction
• 9.2 Heights and Distances
• 9.3 Summary

10. Circles

• 10.1 Introduction
• 10.2 Tangent to a Circle
• 10.3 Number of Tangents from a Point on a Circle
• 10.4 Summary

11. Constructions

• 11.1 Introduction
• 11.2 Division of a Line Segment
• 11.3 Construction of Tangents to a Circle
• 11.4 Summary

12. Areas Related to Circles

• 12.1 Introduction
• 12.2 Perimeter and Area of a Circle — A Review
• 12.3 Areas of Sector and Segment of a Circle
• 12.4 Areas of Combinations of Plane Figures
• 12.5 Summary

13. Surface Areas and Volumes

• 13.1 Introduction
• 13.2 Surface Area of a Combination of Solids
• 13.3 Volume of a Combination of Solids
• 13.4 Conversion of Solid from One Shape to Another
• 13.5 Frustum of a Cone
• 13.6 Summary

14. Statistics

• 14.1 Introduction
• 14.2 Mean of Grouped Data
• 14.3 Mode of Grouped Data
• 14.4 Median of Grouped Data
• 14.5 Graphical Representation of Cumulative Frequency Distribution
• 14.6 Summary

15. Probability

• 15.1 Introduction
• 15.2 Probability — A Theoretical Approach
• 15.3 Summary

Appendix A1. Proofs in Mathematics

• A1.1 Introduction
• A1.2 Mathematical Statements Revisited
• A1.3 Deductive Reasoning
• A1.4 Conjectures, Theorems, Proofs and Mathematical Reasoning
• A1.5 Negation of a Statement
• A1.6 Converse of a Statement