STATE BOARD - IX MATHS

CHAP 1 : NUMBER SYSTEMS : Intro on Rational Number, Ex: 1.1,Irrational Numbers On Line, Real-Numbers,Decimals, Ex:1.3 (1,2,3), Representing Real Numbers On Number Line, Common Eg, Operations on Real Numbers, Laws of Exponents And Real Numbers. 

CHAP 2 : INTRODUCTION TO EUCLID'S GEOMETRY : Introduction on Euclid's Geometry, Properties, Axioms, Postulates, and Theorems, Eg, Equivalent Versions of Euclid's Fifth Postulate.

CHAP 3 : LINES AND ANGLES : Introduction, Lines and Angles, BasicTerms, Definitions, Intersecting and Non-Intersecting Lines, Linear Angle Axioms, Vertically Opposite Angles, Theorem, Egs, Parallel Lines and Transversal, Corresponding Angle Axiom,Alternate Interior Angle Theorems, Consecutive Angle Theorems,Parallel Line Theorems, Angle Sum Property of Triangle, Exterior Angle Property of Triangle.

CHAP 4 : POLYNOMIALS : Introduction, Polynomial in One Variable, zeros of Polynomial, Remainder Theorem,Factorisation of Polynomials,Algebraic Identities.

CHAP 5 : TRIANGLES : Introduction on Triangles, Congruence of Triangles, Criteria of Congruence of Triangles, Theorem: 5.1, 5.2, SSS Congruence Rule, RHS Congruence Rule, Eg, Inequality Triangles Theorem, eg

CHAP 6 : CONSTRUCTIONS : Introduction, Basic Construction, Basic Construction, Some Constructions of Triangles.

CHAP 7 : QUADRILATERALS : Intro , Definitions, Angle Sum Property of Quadrilaterals, Types of Quadrilaterals, Parallelogram Diagonal Congruence Theorem, Parallelogram Angle Theorem, Egs,Parallelogram Diagonal Theorem,  Rhombus Diagonal Theorem, Rectangle Diagonal Theorem, Rectangle Diagonal Theorem Egs, Square Diagonal Theorem, Square Diagonal Theorem Egs, Parallelogram Sufficiency Condition, Egs, Triangle MidPoint Theorems.

CHAP 8 : HERON'S FORMULA : Introduction, Area of Triangles, Application of Heron's Formula, Area of Quadrilateral, All over Eg.

CHAP 9 : COORDINATE GEOMETRY : Introduction Coordinate Geometry, Cartesian Plane, Plotting a Point in the Plane of its Coordinates are given.

CHAP 10 : LINEAR EQUATIONS IN TWO VARIABLES :Introduction Linear Equation, Eg, Solution of Linear Equation, Eg,Graph of Linear Equation, Eg, Equation of Lines Parallel to X and Y Axis, Eg.

CHAP 11 : AREA OF PARALLELOGRAMS AND TRIANGLES : Introduction on Area of Parallelograms, Figure on Same Base Between the Same Parallels,Theorem: 1, 2, Eg,Theorem: 3, 4, 5, Parallelograms and Triangles On Same Base Between the Same Parallels, Triangles on Same Base Between Same Parallels. Area of Triangles, Theorem: 1, 2, Theorem: 3, 4, Eg.

CHAP 12 : CIRCLES : Introduction, Circles and Related Terms,Angle Subtended by a Chord at a Point, Theorems 12.1, 12.2,Perpendicular from the Centre to a Chord, Egs, Circle Through Three Points, Terms, Equal Chords and Their Distances From the Centre, Egs,Angle Subtended by an Arc of a Circle, Egs,Cyclic Quadrilaterals.

CHAP 13 : SURFACE AREAS AND FORMULAS : Introduction, Surface Area and Volumes, Surface Area of Cuboid, Surface Area of Cube, Eg,Surface Area of Right Circular Cylinder, Eg,  Surface Area of Right Circular Cone, Eg,Surface Area of Sphere, Hemisphere, Eg,Volume of Cuboid, Cube, Cylinder, Eg,  Volume of Right Circular Cone, Sphere, Hemisphere, Eg.

CHAP 14 : STATISTICS : Introduction, Collection of Data, Presentation of Data, Bar Graph, Egs, Histogram, Egs, Measures of Central Tendency.

CHAP 15 : PROBABILITY : Introduction on Probability, Probability Experimental Approach, Allover Eg.

NOTE : Few more Exercises and Examples from the textbook will be uploaded soon. 

JARGONS : Egs = Examples   Ex = Exercise