CBSE Grade 9  MATHS
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Number Systems
The Number lineReal Numbers  Whole Numbers, Integers, Rational Numbers, Irrational NumbersReal Numbers and their Decimal Expansions In terms of Terminating and NonTerminating Recurring DecimalsRepresentation of Real Numbers on the Number LineOperations on Real NumbersRationalizing the DenominatorLaws of Exponents for Real Numbers 
Polynomials
Polynomials in One VariableExamples  Zero Polynomials, Constant Polynomials, Quadratic PolynomialsRemainder Theorem Dividend = ( Divisor * Quotient) + RemainderFactorisation of Polynomials By splitting the Middle TermAlgebraic Identities 
Coordinate Geometry
Cartesian PlaneCoordinate Axes  Xaxis and Y axisQuadrantsCoordinates of a PointPlotting a Point in the plane if its coordinates are given 
Linear Equations in Two Variables
Linear Equations  One Variable, Two VariablesSolution of a Linear EquationGraph of a Linear Equation in Two VariablesEquation of the form y = mx where m is a Real NumberEquation of a Straight Line passing through the Origin in a Cartesian PlaneEquations of Lines Parallel to the Xaxis and Y axis 
Introducing to EUCLID's Geometry
Euclid's DefinitionsAxioms and PostulatesEuclid's Five PostulatesEquivalent Versions of Euclid's Fifth Postulate 
Lines and Angles
Basic Terms and Definitions  Line, Line segment, Ray, Collinear Points, AnglesTypes of Angles  Acute, Right, Obtuse, Straight Angle, Reflex Angle, Adjacent Angle, Vertically Opposite Angles, Linear Pair of Angles, Complementary Angles, Supplementary AnglesIntersecting LinesParallel Lines Transversal,Corresponding Angles, Interior Angles, Interior Angles on the same side of the Transversal, Exterior AngleAngle Sum Property of a Triangle 
Triangles
Congruence of TriangleCriteria for Congruence of Triangles  SAS Congruence Rule, ASA Congruence Rule, AAS Congruence RuleSome Properties of TriangleIsosceles TriangleSome More Criteria of Congruence of Triangles  SSS Congruence, RHS CongruenceInequalities in Triangle 
Quadrilaterals
Introduction Angle Sum Property of a QuadrilateralTypes of Quadrilaterals Trapezium, Kite, ParallelogramProperties of a ParallelogramAnother Condition for a Quadrilateral to be a ParallelogramMid Point Theorem 
Areas of Parallelograms and Triangles
Area of FiguresTheoremTwo congruent figures have same area but the converse is not trueArea of Parallelogram Figures on the same base and between the same parallels, triangles on the same base and between the same parallelsArea of Triangle 
Circles
Circles and its Related Terms Diameter, Radius, Interior, Exterior of Circle, Major Segment, Minor Segment, SectorAngle Subtended by a ChordPerpendicular from the Centre to a CircleCircle through Three Non Collinear PointsEqual Chords and their Distances from the CentreAngle Subtended by an Arc of a CircleCyclic Quadrilaterals 
Constructions
Basic ConstructionsTo Construct the Bisector of a given Angle, To Construct the Perpendicular Bisector of a given Line Segment, To Construct an Angle of 60 degree at Initial Point of a given RaySome Constructions of Triangles To construct a Triangle given its Base, a Base Angle and the Sum of the other Two Sides, To construct a Triangle given its Base, a Base Angle and the Difference of the other Two Sides, To construct a Triangle given its Perimeter and its two Base Angles 
HERON's Formula
Area of TriangleTo determine the Area of a Triangle when the lengths of the three sides are knownHeron's FormulaSemi PerimeterApplication of Heron's Formula in finding areas of quadrilaterals 
Surface Areas and Volumes
Surface Area  Cuboid, Cube, Right Circular Cylinder, Right Circular Cone, SpherePropertiesTotal Surface Area, Curved Surface AreaCurved Surface Area  Cylinder, Cone, HemisphereTotal Surface Area Cylinder, Cone, HemisphereVolume Cuboid, Cube, Cylinder, Right Circular Cone, Cone, Sphere, Hemisphere 
Statistics
Presentation of DataGraphical Representation of DataHistogram, Frequency PolygonMeasures of Central Tendency Mean, Median, Mode 
Probability
Probability An Experimental Approach, Empirical ProbabilityProbability of an Event (E), 
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