## NCERT/CBSE Mathematics Courses - Class 10

Here is a list of all the mathematics courses that will be produced from each chapter of the class 10 book. Essentially, the contents of each chapter will be explained in a single course. As mentioned before, we might make slight changes to the list below while creating the courses, meaning that we might mix two or more chapters as or when necessary or possible but we will not disturb the natural flow of the material.

- Real Numbers
- Polynomials
- Pairs of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Coordinate Geometry
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Circles
- Constructions
- Areas Related to Circles
- Surface Areas and Volumes
- Statistics
- Probability
- Appendix A1 - Proofs in Mathematics
- Appendix A2 - Mathematical Modelling

If you expand the accordion below (in case it's not already expanded), You can find some more details related to each of the courses mentioned above.

Click to know more about the content of the courses

### Real Numbers

- Euclid's Division Lemma
- The Fundamental Theorem of Arithmetic
- Revisiting Irrational Numbers
- Revisiting Rational Numbers and their Decimal Expansions

### Polynomials

- Geometrical Meaning of the Zeroes of a Polynomial
- Relationship between Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials

### Pair of Linear Equations in Two Variables

- Pair of Linear Equations in Two Variables
- Graphical Method of Solution of a Pair of Linear Equations
- Algebraic Methods of Solving a Pair of Linear Equations (Elimination, Substitution, Cross-multiplication)
- Equations Reducible to a Pair of Linear Equations in Two Variables

### Quadratic Equations

- Solutions of a Quadratic Equation by Factorization
- Solutions of a Quadratic Equation by Completing the Square
- Nature of Roots

### Arithmetic Progression

- Nth Term of an AP
- Sum of First n Terms of an AP

### Triangles

- Similar Figures
- Similarity of Triangles
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Pythagoras Theorem

### Coordinate Geometry

- Distance Formula
- Section Formula
- Area of a Triangle

### Introduction to Trigonometry

- Trigonometric Ratios
- Trigonometric Ratios of Some Specific Angles and Complementary Angles
- Trigonometric Identities

### Some Applications of Trigonometry

- Heights and Distances

### Circles

- Tangent to a Circle
- Number of Tangents from a Point on a Circle

### Constructions

- Division of a Line Segment
- Construction of Tangents to a Circle

### Areas Related to Circles

- Perimeter and Area of a Circle - Review
- Areas of Sector and Segment of a Circle
- Areas of Combination of Plane Figures

### Surface Areas And Volumes

- Surface Area of a Combination of Solids
- Volume of A Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone

### Statistics

- Mean of Grouped Data
- Mode of Grouped Data
- Median of Grouped Data
- Graphical Representation of Cumulative Frequency Distribution

### Probability

- Probability - A Theoretical Approach

### Appendix A1 - Proofs in Mathematics

- Mathematical Statements Revisited
- Deductive Reasoning
- Conjectures, Theorems, Proofs and Mathematical Reasoning
- Negation of a Statement
- Converse of a Statement
- Proof by Contradiction

### Appendix A2 - Mathematical Modelling

- Stages in Mathematical Modelling
- Some Illustrations
- Why is Mathematical Modelling Important