Class 9 Mathematics Maharashtra Board

Maharashtra Board Mathematics Syllabus

Class 9 Mathematics Maharashtra Board

 

Part 1: Algebra

  • Sets:
    • Introduction
    • Methods of writing sets
    • Types of sets
    • Subset - Proper, Improper subset
    • Super set
    • Universal set
    • Venn diagrams
    • Operations on sets
    • Relations between various operations
    • Number of elements in the set and related results
  • Real Numbers:
    • Revision of natural numbers, integers, rational numbers and irrational numbers
    • Existence of irrational numbers and their representations on the number line
    • Every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number
    • Properties of real numbers
    • Definition of nth root of a real number
    • Surds - Definition
    • Forms of surds
    • Operations and Laws of surds
    • Rationalization of Surds
    • Absolute value of real numbers
    • Euclid's division Lemma
    • Fundamental theorem of Arithmetic
  • Algebraic Expressions:
    • Introduction to algebraic expression
    • Operations on algebraic expressions
    • Methods of factorization of algebraic expression
    • Introduction to polynomials
    • Operations on polynomials
    • Value of polynomials
    • Zeros/roots of polynomial
    • Relation between zeros and coefficient of polynomials
    • Remainder theorem
    • Factor theorem
  • Graphs:
    • Cartesian coordinate system
    • Understanding of graphs of lines parallel to axes
    • Graph of line ax + by + c = o
  • Linear equations in two variables
    • System of linear equations
    • Solution of system of linear equations in two variables (Algebraic methods)
  • Ratio, proportion and variation
    • Introduction to ratio
    • Properties of ratio
    • Properties of equal ratios
    • Theorem on equal ratios
    • Percentage as a ratio
    • Introduction to proportion
    • Introduction to variation
    • Revision of concepts based on Direct
    • Variation, Inverse variation
    • Mixed variation
    • Real life problems based on ratio, proportion and variation
  • Statistics:
    • Collection of data
    • Classification and tabulation of data
    • Diagrammatic representation of data
    • Graphical representation of data
    • Mean, median, mode of ungrouped data

Part 2: Geometry

  • Lines and Angles:
    • Introductions to line
    • Basic terms and definitions related to line
    • Introduction to Euclid's Geometry
    • Plane separation axiom
    • Introduction to angles in terms of rotation
    • Directed angles, Sexagesimal system
    • Types of angles
    • Zero angle, straight angle, co terminal angle
    • Relation between angles
    • Introduction to mathematical proofs
    • Parallel lines
    • Results on parallel lines and transversal
    • Tests of parallel lines
    • Results on perpendicular lines
    • Distance of a point from a line
  • Triangles:
    • Types of triangles
    • Terms related to triangle
    • Properties of triangle
    • Exterior angles and corresponding interior opposite angles
    • Results involving exterior angle and corresponding interior opposite angles
    • Similar triangles
  • Congruence of triangles:
    • Criteria of congruent triangles
    • Theorem of an isosceles triangle and its converse
    • Perpendicular bisector theorem
    • Angle bisector theorem
    • Properties of triangles based on inequalities
    • Property of perpendicular drawn from a point outside the line.
  • Circle:
    • Introduction to circle and related terms
    • Circle passing through the given points
    • One and only one circle passes through the three non collinear points.
    • Congruence of circles
    • Properties of chords of the circle
  • Quadrilateral:
    • Properties of quadrilateral
    • Properties of parallelogram
    • Properties of rectangle
    • Properties of a trapezium
    • Properties of a rhombus
    • Properties of a square
    • Kite
    • Tests for particular quadrilateral
    • Theorem on midpoints of two sides of a triangle and its converse
    • Geometry
  • Coordinate Geometry:
    • Distance formula
    • Section formula
    • Area of a triangle
  • Geometric constructions:
    • Basic construction – perpendicular bisector of given segment.
    • Construction of a triangle( Sum/difference of two sides and base angles is given Perimeter and base angles are given
  • Trigonometry:
    • Introduction to trigonometric ratios
    • Trigonometric Ratios of angles 0o, 30 o, 45 o, 60 o, 90 o
    • Trigonometric identities for complementary angles
  • Mensuration:
    • Area of triangle
    • Area of regular hexagon, polygon
    • Area of quadrilaterals
    • If two parallelograms lie between two parallel lines and have the same base then they have the same area. If a triangle and a parallelogram have the same base and lie between the same parallel lines, then the area of the triangle is half the area of the parallelogram.
    • Perimeter of triangle and quadrilateral
    • Area of circle
Study Materials for Class 9

Choose EduSaksham¢î
Embrace Better Learning

edusaksham-mobile-app