Introduction to Real Numbers

Euclid’s Division Lemma

The Fundamental Theorem of Arithmetic

Revisiting Irrational Numbers

Revisiting Rational Numbers and Their Decimal Expansions

Summary

Introduction Polynomials

Geometrical Meaning of the Zeroes of a Polynomial

Relationship between Zeroes and Coefficients of a Polynomial

Division Algorithm for Polynomials

Summary

Introduction to 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

Equations Reducible to a Pair of Linear Equations in Two Variables

Summary

Introduction to Quadratic Equations

Quadratic Equations

Solution of a Quadratic Equation by Factorisation

Solution of a Quadratic Equation by Completing the Square

Nature of Roots

Summary

Introduction Arithmetic Progressions

nth Term of an AP

Sum of First n Terms of an AP

Summary

Triangles Introduction

Similar Figures

Similarity of Triangles

Criteria for Similarity of Triangles

Areas of Similar Triangles

Pythagoras Theorem

Summary