We will discuss the important concepts of Mathematics Class 10 CBSE.

The important concepts covered will be:

Real numbers
Introduction
Euclid’s Division Lemma
The Fundamental Theorem of Arithmetic
Revisiting Irrational Numbers
Revisiting Rational Numbers and Their Decimal Expansions

Polynomials
Introduction
Zeros of a polynomial
Geometrical meaning of the zeros of a polynomial
Relationship between zeros and coefficients of a polynomial
Division alogrithm for polynomials

Pair of linear equations in two variables
Introduction
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 method
Cross-multiplication method
Equations reducible to a pair of linear equations in two variables

Quadratic equations
Introduction
Quadratic equations
Solution of a quadratic equation by factorisation
Solution of a quadratic equation by completing the square
Nature of roots

Arithmetic progressions
Introduction
Arithmetic Progressions
nth term of an AP
Sum of first n terms of an AP

Triangles
Introduction
Similar figures
Similarity of triangles
Criteria for Similarity of Triangles
Areas of Similar triangles
Pythagoras theorem

Coordinate geometry
Introduction
Distance formula
Section formula
Area of a triangle

Introduction to trigonometry
Introduction
Trigonometric ratios
Trigonometric ratios of some specific angles
Trigonometric ratios of complementary angles
Trigonometric identities

Some applications of trigonometry
Introduction
Heights and distances

Circles
Introduction
Tangent to a circle
Number of tangents from a point on a circle

Areas related to circles
Introduction
Perimeter and area of a circle - a review
Areas of sector and segment of a circle
Areas of combinations of plane figures

Surface areas and volumes
Introduction
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
Introduction
Mean of grouped data
Mode of grouped data
Median of grouped data
Graphical representation of cumulative frequency distribution

Probability
Introduction
Probability-a theoretical approach