CBSE Grade 9 - MATHS

CBSE Grade 9 MATHS

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  • Number Systems
    The Number line
    Real Numbers - Whole Numbers, Integers, Rational Numbers, Irrational Numbers
    Real Numbers and their Decimal Expansions- In terms of Terminating and Non-Terminating Recurring Decimals
    Representation of Real Numbers on the Number Line
    Operations on Real Numbers
    Rationalizing the Denominator
    Laws of Exponents for Real Numbers
  • Polynomials
    Polynomials in One Variable
    Examples - Zero Polynomials, Constant Polynomials, Quadratic Polynomials
    Remainder Theorem- Dividend = ( Divisor * Quotient) + Remainder
    Factorisation of Polynomials- By splitting the Middle Term
    Algebraic Identities
  • Coordinate Geometry
    Cartesian Plane
    Coordinate Axes - X-axis and Y- axis
    Quadrants
    Coordinates of a Point
    Plotting a Point in the plane if its coordinates are given
  • Linear Equations in Two Variables
    Linear Equations - One Variable, Two Variables
    Solution of a Linear Equation
    Graph of a Linear Equation in Two Variables
    Equation of the form y = mx where m is a Real Number
    Equation of a Straight Line passing through the Origin in a Cartesian Plane
    Equations of Lines Parallel to the X-axis and Y- axis
  • Introducing to EUCLID's Geometry
    Euclid's Definitions-Axioms and Postulates
    Euclid's Five Postulates
    Equivalent Versions of Euclid's Fifth Postulate
  • Lines and Angles
    Basic Terms and Definitions - Line, Line segment, Ray, Collinear Points, Angles
    Types of Angles - Acute, Right, Obtuse, Straight Angle, Reflex Angle, Adjacent Angle, Vertically Opposite Angles, Linear Pair of Angles, Complementary Angles, Supplementary Angles
    Intersecting Lines
    Parallel Lines- Transversal,Corresponding Angles, Interior Angles, Interior Angles on the same side of the Transversal, Exterior Angle
    Angle Sum Property of a Triangle
  • Triangles
    Congruence of Triangle
    Criteria for Congruence of Triangles - SAS Congruence Rule, ASA Congruence Rule, AAS Congruence Rule
    Some Properties of Triangle
    Isosceles Triangle
    Some More Criteria of Congruence of Triangles - SSS Congruence, RHS Congruence
    Inequalities in Triangle
  • Quadrilaterals
    Introduction- Angle Sum Property of a Quadrilateral
    Types of Quadrilaterals- Trapezium, Kite, Parallelogram
    Properties of a Parallelogram
    Another Condition for a Quadrilateral to be a Parallelogram
    Mid -Point Theorem
  • Areas of Parallelograms and Triangles
    Area of Figures
    Theorem-Two congruent figures have same area but the converse is not true
    Area of Parallelogram- Figures on the same base and between the same parallels, triangles on the same base and between the same parallels
    Area of Triangle
  • Circles
    Circles and its Related Terms- Diameter, Radius, Interior, Exterior of Circle, Major Segment, Minor Segment, Sector
    Angle Subtended by a Chord
    Perpendicular from the Centre to a Circle
    Circle through Three Non -Collinear Points
    Equal Chords and their Distances from the Centre
    Angle Subtended by an Arc of a Circle
    Cyclic Quadrilaterals
  • Constructions
    Basic Constructions-To 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 Ray
    Some 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 Triangle-To determine the Area of a Triangle when the lengths of the three sides are known
    Heron's Formula
    Semi Perimeter
    Application of Heron's Formula in finding areas of quadrilaterals
  • Surface Areas and Volumes
    Surface Area - Cuboid, Cube, Right Circular Cylinder, Right Circular Cone, Sphere
    Properties-Total Surface Area, Curved Surface Area
    Curved Surface Area - Cylinder, Cone, Hemisphere
    Total Surface Area -Cylinder, Cone, Hemisphere
    Volume -Cuboid, Cube, Cylinder, Right Circular Cone, Cone, Sphere, Hemisphere
  • Statistics
    Presentation of Data
    Graphical Representation of Data-Histogram, Frequency Polygon
    Measures of Central Tendency- Mean, Median, Mode
  • Probability
    Probability- An Experimental Approach, Empirical Probability
    Probability of an Event (E),
  • Featured Test