Number Systems

Polynomials

Ø Introduction

Ø Introduction

Ø Irrational Numbers

Ø Polynomials in One Variable

Ø Real Numbers and their Decimal Expansions

Ø Zeroes of a Polynomial

Ø Representing Real Numbers on the Number Line

Ø Remainder Theorem

Ø Operations on Real Numbers

Ø Factorisation of Polynomials

Ø Laws of Exponents for Real Numbers

Ø Algebraic Identities

Coordinate Geometry

Linear Equation in Two Variables

Ø Introduction

Ø Introduction

Ø Cartesian System

Ø Linear Equations

Ø Plotting a Point in the Plane if its Coordinates are given

Ø Solution of a Linear Equation

Ø Graph of a Linear Equation in Two Variables

Ø Equations of Lines Parallel to x-axis and y-axis

Introduction to Euclid’s Geometry

Lines and Angles

Ø Introduction

Ø Introduction

Ø Euclid’s Definitions, Axioms and Postulates

Ø Basic Terms and Definitions

Ø Equivalent Versions of Euclid’s Fifth Postulate

Ø Intersecting Lines and Non-intersecting Lines

Ø Pairs of Angles

Ø Parallel Lines and a Transversal

Ø Lines Parallel to the same Line

Ø Angle Sum Property of a Triangle

Triangles

Quadrilaterals

Ø Introduction

Ø Introduction

Ø Congruence of Triangles

Ø Angle Sum Property of a Quadrilateral

Ø Criteria for Congruence of Triangles

Ø Types of Quadrilaterals

Ø Some Properties of a Triangle

Ø Properties of a Parallelogra

Ø Some More Criteria for Congruence of Triangles

Ø Another Condition for a Quadrilteral to be a Parallelogram

Ø Inequalities in a Triangle

Ø The Mid-point Theorem

Area of Parallelogram and Triangles

Circle

Ø Introduction

Ø Introduction

Ø Figures on the same Base and Between the same Parallels

Ø Circles and its Related Terms : A Review

Ø Parallelogramms on the same Base and between the same Parallels

Ø Angle Subtended by a Chord at a Point

Ø Triangles on the same Base and between the same Parallels

Ø Perpendicular from the Centre to a Chord

Ø Circle through Three Points

Ø Equal Chords and their Distances from the Centre

Ø Angle Subtended by an Arc of a Circle

Cyclic Quadrilaterals

Constructions

Heron’s Formula

Ø Introduction

Ø Introduction

Ø Basic Constructions

Ø Area of a Triangle – by Heron’s Formula

Ø Some Constructions of Triangles

Ø Application of Heron’s Formula in finding Areas of Quadrilaterals

Surface Areas and Volumes

Statistics

Ø Introduction

Ø Introduction

Ø Surface Area of a Cuboid and a Cube

Ø Collection of Data

Ø Surface Area of a Right Circular Cylinder

Ø Presentation of Data

Ø Surface Area of a Right Circular Cone

Ø Geographical Representation of Data

Ø Surface Area of a Sphere

Ø Measures of Central Tendency

Ø Volume of a Cuboid

Ø Volume of a Cylinder

Ø Volume of a Right Circular Cone

Ø Volume of a Sphere

Probability

Ø Introduction

Ø Probability – an Experimental Approach