Maharashtra Board Class 9 Maths Syllabus (2022-23)

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Maharashtra Board Class 9 Maths Syllabus

Chapter Name	Topics
Sets	Concept of Sets Methods of writing sets Types of Sets Venn Diagram Subset Concept for Universal Sets Complement of a Set Operation on Set Intersection of Sets Disjoint Sets Union Set Number of Elements in a Set Word problems based on sets
Real Numbers	Concept of Real Numbers Properties of Real Numbers Concept of Rational Numbers Properties of Rational Numbers Decimal representation to identify irrational numbers Irrational and Real Numbers Square Root of Decimal Numbers Properties of Order Relation on Real Numbers Square root of a negative number Root of positive rational number Concept of Surds Form of Surds Order of a Surd Similar or like Surds Comparison of Surds Four Basic Operation on Surds Rationalisation of Surds Binomial Quadratic Surd Simplifying an expression by rationalization of Denominator
Polynomials	Concept of Polynomials Types of Polynomials Degree of Polynomial Forms of Polynomial Operations on Polynomials Synthetic Division Value of a Polynomial Remainder Theorem Factor Theorem Factorisation of Polynomials
Ratio and Proportion	Concept of Ratio Concept of Direct Proportion Concept of Inverse Proportion Properties of Ratio Comparison of Ratios Operations on Equal Ratios Applications of Properties of Equal Ratios Theorem on Equal Ratios Concept of Proportion k Method for Equal Ratios
Linear Equations in Two Variables	Algebraic Methods of Solving a Pair of Linear Equations Linear Equations in Two Variables General Form of Linear Equations in Two Variables
Financial Planning	Introduction of Financial Planning Saving and Investment Levying of Taxes or Taxation Income Tax Computation of Income Tax
Statistics	Concept of Statistics Concept of Bar Graph Subdivided Bar Graph/ Diagram Percentage Bar Graph/ Diagram Collecting Data Organisation of Data Frequency Distribution Table Measures of Central Tendency Arithmetic Mean - Raw Data Concept of Median Concept of Mode Cumulative Frequency Table
Basic Concepts in Geometry	Basic Concepts in Geometry Co-ordinates of Points and Distance Betweenness Basic Concept of Segment, Ray and Line Conditional Statements and Converse Proofs
Parallel Line	Concept of Parallel Lines Checking Parallel Lines Pairs of Lines: Transversal of Parallel Lines Properties of Angles formed by two parallel lines and a transversal Use of Properties of parallel lines Test for Parallel Lines
Triangles	Concept of Triangles: Sides, Angles, Vertices, Interior and Exterior of Triangle Theorem of remote interior angles of a triangle Exterior Angle of a Triangle and its properties Congruence of Triangles Isosceles Triangle Property of 30 - 60 - 90 degree Triangle theorem Property of 45 - 45 - 90 degree Triangle theorem Median of a Triangle Perpendicular bisector theorem Angle bisector theorem Properties of inequalities of sides and angles of a triangle Similar Triangles Similarity of Triangles
Construction of Triangles	Perpendicular bisector theorem Construction of Triangles
Quadrilaterals	Concept of Quadrilaterals: Sides, Adjacent sides, opposite sides, angle, adjacent angles and opposite angles Types of Quadrilaterals Properties of a Parallelogram Properties of Rectangle Properties of Square Properties of Rhombus The mid-point theorem Converse of mid-point theorem
Circle	Concept of Circle: Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles Properties of Chord Relation between congruent chords of a circle and their distances from the centre Properties of Congruent Chords Incircle of a Triangle Construction of the Incircle of a Triangle Circumcircle Construction of the Circumcircle of a Triangle Circumference of a Circle
Co-ordinate Geometry	Co-ordinate Geometry Cartesian System Plotting a point in the plane if its co-ordinates are given Equations of lines parallel to x-axis and y-axis Graphs of Linear Equations
Trigonometry	Trigonometry Terms related to right angled triangle Trigonometric Ratios and its reciprocal Relation among trigonometric ratios Trigonometric Ratios of Complementary Angles Trigonometric Ratios of Some Special Angles Important Equation in Trigonometry Method of using Trigonometric Table
Surface Area and Volume	Surface Area of a Cuboid Volume of a Cuboid Surface Area of a Cube Volume of Cube Surface Area of a Cylinder Volume of Cylinder Surface Area of a Right Circular Cone Volume of a Right Circular Cone Surface Area of a Sphere

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