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Home
Math
Grade 9
Grade 9 Math
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Quick Topics
National Curriculum
Competitive Exams
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Grade 9
Number System
▼
Rational and Irrational Numbers
►
Understand the Concept
Equivalent Rational Numbers
Represent Rational Numbers on the Number Line
Find Rational Numbers Between Given Rational Numbers
Without Actual Division Identify Terminating Decimals
Relate Rational Numbers and Decimals
►
Express Rational Numbers as Terminating and Recurring Decimals
Express Terminating Decimals as Fractions
Express Recurring Decimals as Fractions
Represent Irrational Numbers on the Number Line
Find Irrational Numbers Between Given Rational Numbers
Identify Rational and Irrational Numbers
Real Numbers
►
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Real Numbers: Mixed Operations (Simplification)
►
Simplify and Find Values of Expressions using Rationalization
Simplify Expressions Using the Laws of Radicals
Polynomials
▼
Identify Polynomial Expressions
Identify the Degree of a Polynomial
Identify Coefficients in a Polynomial
Evaluate Polynomials
Zeros of a Polynomial
Square of Binomials
Cube of Binomials and Cubic Polynomials
Remainder Theorem
Factor Theorem
Factorization of Polynomials
►
Factorization by Taking out the Common Factor
Factorization by Grouping
Factoring the Difference of Two Squares
Factorization of Quadratic Polynomials
Factorization Using the Identity for Square of a Trinomial
Factorization of Sum or Difference of Cubes
Factorization of Degree 3 Polynomials
Polynomials in Equations
Evaluate Polynomials Using Algebraic Identities
Geometry
▼
Introduction to Euclid's Geometry
►
Axioms, Theorems and Corollaries
Understand the Concept and Properties of a Point, Line Segment, Ray, Line, and Plane
Euclid's Axioms and Postulates
Parallel, Concurrent and Intersecting Lines
Angles and Lines
►
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
►
Congruence: Understand the Meaning
Criteria for Congruence of Triangles
Problems Related to Congruence of Triangles
Inequalities in a Triangle
Quadrilaterals and Parallelograms
►
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
►
Intercept Theorem (Thales Theorem, or Basic Proportionality Theorem) and Related Problems
Midpoint Theorem and Related Problems
Circles
►
Terms Related to Circles
Theorems and Problems Related to Chord Properties of Circles
Theorems and Problems Related to Congruent 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
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
Mensuration
▼
Measurement of Areas
►
Measuring Areas of Triangles
►
Area of a Triangle Using Base and Altitude
Area of a Triangle Using Heron's Formula
Measuring Areas of Quadrilaterals
►
Area of a Quadrilateral
Area of a Parallelogram
Area of a Rhombus
Area of a Trapezium
Area of a Quadrilateral Using Heron's Formula
Application of Results on Area of Polygonal Regions
Volume and Surface Area
►
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 and Probability
▼
Statistics
►
Frequency Distribution of an Ungrouped Data
Cumulative Frequency Table of an Ungrouped Data
Bar Graph
►
Drawing Bar Graphs
Interpreting Bar Graphs
Histogram
►
Histogram When the Frequency Distribution is Exclusive
Histogram When the Frequency Distribution is Inclusive
Histogram When the Class Intervals are of Unequal Size
Frequency Polygons
►
Frequency Polygons when the Frequency Distribution is Exclusive
Frequency Polygons when the Frequency Distribution is Inclusive
Histograms and Frequency Polygons on a Single Graph
Mean, Median, and Mode
►
Mean
►
Arithmetic Mean of Numerical Data
Word Problems on Mean
Mean for Ungrouped Frequency Distributions
►
Direct Method for Finding Mean
Assumed-Mean Method
Step-Deviation Method for Finding Mean
Median
►
Median of Numerical Data
Median of Discrete Series
Mode
►
Mode of Ungrouped Data
Empirical Formula for Calculating Mode
Probability
►
Calculate Probability for Events in Random Experiments
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