NCERT (CBSE and ICSE) - Class 9 Math

Class 9 (All topics)

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Number Systems
   Rational and Irrational Numbers
   Real Numbers
Polynomials
   Identify Polynomial Expressions
   Identify the Degree of a Polynomial
   Identify Coefficients in a Polynomial
   Evaluate Polynomials
   Zeros of a Polynomial
   Square of Binomials
   Remainder Theorem
   Factor Theorem
   Factorization of Polynomials
   Polynomials in Equations
   Evaluate Polynomials Using Algebraic Identities
Coordinate Geometry
   Understand the Terms Related to Coordinate Geometry
   Identify the Coordinates of a Point on the Cartesian Plane
   Identify the Coordinates of the Points on the X-axis, Y-axis, and the Origin
   Identify the Quadrant of a Point
   Draw the Graphs of Linear Equations
   Higher Order Thinking Skills (HOTS) Related to the Cartesian Plane
Linear Equations in Two Variables
   Verify a Solution to a Linear Equation in Two Variables
   Find the Unknown Variable When the Equation of the Line and Several Conditions are Given
   Draw Graph of Linear Equations and Find the Unknown Variable
   Draw Graph of Some Special Type of Linear Equations
   Word Problems
Introduction to Euclid's Geometry
   Understanding Points, Line Segments, Rays, Lines, and Planes
   Euclid's Axioms and Postulates
   Parallel, Concurrent and Intersecting Lines
Lines and Angles
   Understand the Concept of Angles and Terms Related to Angles
   Interior and Exterior Points of an Angle
   Categorize Angles on the Basis of Their Measures
   Angles Around a Point
   Complementary and Supplementary Pairs of Angles
   Adjacent Angles, Vertically Opposite Angles, and Linear Pair of Angles
   Parallel Lines, Transversal, and Angles Formed
Triangles
   Classification of Triangles on the Basis of its Sides and Angles
   Theorems and Problems Related to Side and Angle Measures of Triangles
   Congruence of Triangles
   Inequalities in a Triangle
Quadrilaterals
   Understand the Concept of Quadrilaterals and Related Terms
   Theorems and Problems Related to the Angles of a Quadrilateral
   Theorems and Problems Related to Parallelograms
   Intercept Theorem and Midpoint Theorem
Areas of Parallelograms and Triangles
   Area of a Triangle
   Area of a Parallelogram
Circles
   Terms Related to Circles
   Theorems and Problems Related to Chord Properties of Circles
   Theorems and Problems Related to Angles Subtended by Arcs/Chords
   Theorems and Problems Related to Cyclic Quadrilaterals
   Problems Related to Circumcircles and In-circles
Constructions
   Bisector of a Line Segment
   Construction of Angles
   Construction of Triangles
Heron's Formula
   Area of a Triangle Using Heron's Formula
Surface Areas and Volumes
   Volume and Surface Area of Cuboids and Cubes
   Volume and Surface Area of Cylinders
   Volume and Surface Area of Circular Cones
   Volume and Surface Area of Spheres, Hemispheres and Spherical Shells
   Mixed Problems on Volume and Surface Area
Statistics
   Frequency Distribution of an Ungrouped Data
   Cumulative Frequency Table of an Ungrouped Data
   Bar Graph
   Histogram
   Frequency Polygons
   Histograms and Frequency Polygons on a Single Graph
   Mean, Median, and Mode
Probability
   Calculate Probability for Events in Random Experiments
Miscellaneous Topics
   Measuring Areas of Quadrilaterals
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