# CBSE Grade 9 - MATHS ### Improve your understanding of CBSE 9 - MATHS on Brainnr

• ##### 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),