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. 

  1. Real Numbers
  2. Polynomials
  3. Pairs of Linear Equations in Two Variables
  4. Quadratic Equations
  5. Arithmetic Progressions
  6. Triangles
  7. Coordinate Geometry
  8. Introduction to Trigonometry
  9. Some Applications of Trigonometry
  10. Circles
  11. Constructions
  12. Areas Related to Circles
  13. Surface Areas and Volumes 
  14. Statistics
  15. Probability
  16. Appendix A1 - Proofs in Mathematics
  17. 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