Maths

Irrational Numbers, Real Numbers and their Decimal Expansions, Representing Real Numbers on the Number Line, Operations on Real Numbers, Laws of Exponents for Real Numbers

Polynomials in One Variable, Zeroes of a Polynomial, Remainder Theorem, Factorisation of Polynomials, Algebraic Identities

Introduction, Cartesian System, Plotting a Point in the Plane if its Coordinates are given

Linear Equations, Solution of a Linear Equation, Graph of a Linear Equation in Two Variables, Equations of Lines Parallel to x-axis and y-axis

Introduction, Euclid’s Definitions, Axioms and Postulates, Equivalent Versions of Euclid’s Fifth Postulate

Basic Terms and Definitions, Intersecting Lines and Non-intersecting Lines, Pairs of Angles, Parallel Lines and a Transversal, Lines Parallel to the same Line, Angle Sum Property of a Triangle

Congruence of Triangles, Criteria for Congruence of Triangles, Some Properties of a Triangle, Some More Criteria for Congruence of Triangles, Inequalities in a Triangle

Angle Sum Property of a Quadrilateral, Types of Quadrilaterals, Properties of a Parallelogram, Another Condition for a Quadrilteral to be a Parallelogram, The Mid-point Theorem

Figures on the same Base and Between the same Parallels, Parallelogramms on the same Base and between the same Parallels, Triangles on the same Base and between the same Parallels

Circles and its Related Terms, Angle Subtended by a Chord at a Point, Perpendicular from the Centre to a Chord, Circle through Three Points
Equal Chords and their Distances from the Centre, Angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals

Introduction, Basic Constructions, Some Constructions of Triangles

Area of a Triangle – by Heron’s Formula, Application of Heron’s Formula in finding, Areas of Quadrilaterals

Surface Area of a Cuboid and a Cube, Right Circular Cylinder , Right Circular Cone, Sphere, Volume of a Cuboid, Cylinder, Right Circular Cone, Sphere

Introduction, Collection of Data, Presentation of Data, Geographical Representation of Data, Measures of Central Tendency

Introduction, Probability – an Experimental Approach