CLASS 10TH MATHS FULL COURSE

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 

1. 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 

1. 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  

1. Quadratic Equations 

4.1 Introduction 

4.2 Quadratic Equations 

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 

1. 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 

1. 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 

1. Coordinate Geometry 

7.1 Introduction 

7.2 Distance Formula 

7.3 Section Formula 

7.4 Area of a Triangle 

7.5 Summary 

1. 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 

1. Some Applications of Trigonometry 

9.1 Introduction 

9.2 Heights and Distances 

9.3 Summary 

1. Circles 

10.1 Introduction 

10.2 Tangent to a Circle 

10.3 Number of Tangents from a Point on a Circle 

10.4 Summary 

1. Constructions 

11.1 Introduction 

11.2 Division of a Line Segment 

11.3 Construction of Tangents to a Circle 

11.4 Summary 

1. 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 

1. 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 

1. 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 

1. Probability 

15.1 Introduction 

15.2 Probability — A Theoretical Approach 

15.3 Summary