Number Systems |
Introduction |
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 |
Introduction |
Polynomials in One Variable |
Zeroes of a Polynomial |
Remainder Theorem |
Factorisation of Polynomials |
Algebraic Identities |
Coordinate Geometry |
Introduction |
Cartesian System |
Plotting a Point in the Plane if its Coordinates are given |
Linear equation in two variables |
Introduction |
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 to Euclid’s Geometry |
Introduction |
Euclid’s Definitions, Axioms and Postulates |
Equivalent Versions of Euclid’s Fifth Postulate |
Lines and Angles |
Introduction |
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 |
Triangles |
Introduction |
Congruence of Triangles |
Criteria for Congruence of Triangles |
Some Properties of a Triangle |
Some More Criteria for Congruence of Triangles |
Inequalities in a Triangle |
Quadrilaterals |
Introduction |
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 |
Area of parallelogram and Triangles |
Introduction |
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 |
Circle |
Introduction |
Circles and its Related Terms : A Review |
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 |
Constructions |
Introduction |
Basic Constructions |
Some Constructions of Triangles |
Heron’s Formula |
Introduction |
Area of a Triangle – by Heron’s Formula |
Application of Heron’s Formula in finding Areas of Quadrilaterals |
Surface Areas and Volumes |
Introduction |
Surface Area of a Cuboid and a Cube |
Surface Area of a Right Circular Cylinder |
Surface Area of a Right Circular Cone |
Surface Area of a Sphere |
Volume of a Cuboid |
Volume of a Cylinder |
Volume of a Right Circular Cone |
Volume of a Sphere |
Statistics |
Introduction |
Collection of Data |
Presentation of Data |
Geographical Representation of Data |
Measures of Central Tendency |
Probability |
Introduction |
Probability – an Experimental Approach |
|