Module 1: Class 9 Mathematics

Number Systems

• Real numbers, rational & irrational numbers

• Surds, decimals & number line representation

Polynomials

• Types of polynomials

• Zeros of polynomials

• Algebraic identities & factorization

Coordinate Geometry

• Plotting points

• Basics of Cartesian plane

Linear Equations in Two Variables

• Graphical solutions

• Word problems & applications

Geometry

• Introduction to Euclid’s Geometry

• Triangles, congruence, inequalities in triangles

• Quadrilaterals & circles

Mensuration

• Heron’s formula

• Surface area & volume

Statistics & Probability

• Data collection, bar graphs, histograms

• Basic probability rules

Module 2: Class 10 Mathematics

Real Numbers

• Euclid’s division lemma

• Fundamental theorem of arithmetic

Polynomials

• Graphs of polynomials

• Relationship between zeros & coefficients

Linear Equations

• Pair of linear equations

• Graphical and algebraic methods

Quadratic Equations

• Roots, nature of roots

• Factorization & quadratic formula

Arithmetic Progressions

• nth term, sum of AP

• Applications in word problems

Geometry

• Triangles & similarity

• Circles, tangents to a circle

• Constructions for Class 10

Trigonometry

• Trigonometric ratios, identities

• Heights and distances

Mensuration

• Surface area & volume

• Conversion of solids

Statistics & Probability

• Mean, median, mode

• Probability for board exams