Class 9 Karnataka State Board Mathematics Syllabus (2018 -19)

Karnataka Secondary Education and Examination Board in short KSEEB prescribes syllabus for class 9 Karnataka board. They also conduct board examinations. Over the years KSEEB has been experimenting with syllabus, exam pattern, curricular and extra curricular activities. This made board to come up with very efficient stable system.

Usually mathematics is considered to be one of the toughest subjects by the students. Many students do face difficulties in remembering formulas, identities etc.. Some students start solving problems and get stuck in between and do not understand how to proceed. Some find mathematics totally uninteresting but for some students mathematics turned out to be favourite among all subjects. Why these contrast opinion on same subject? So mathematics is easy or challenging? Answer is: mathematics is challenging initially, regular practice will make it easy. Many do not study mathematics in the way it has to be. This simple change can eventually give a different result. Mathematics should be studied from the base.

In syllabus chapters are organised in a linear fashion and each chapter is further divided into several topics and sub topics making mathematical learning stepwise. This helps the students to absorb mathematical concepts better and apparently they start liking mathematics. After starting to like the subject students work more and more eventually improving their problem solving skills and helping them to master the subject.

Class 9 Karnataka board mathematics encompasses major areas like Number system, Euclid’s geometry, lines and angles, polynomials, Triangles, constructions, Quadrilateral, Heron’s formula, coordinate geometry, Linear equations in two variables, Areas of parallelograms and triangles, circles , surface area, volume, statistics and probability.

Refer table below for detailed syllabus of class 9 Karnataka state board mathematics:-

Chapter 1

Number system

  • Introduction
  • Rational numbers
  • Real numbers and their decimal expansions
  • Representing real numbers on the number line
  • Operations on real numbers
  • Laws of exponents for real numbers

Chapter 2

Introduction to Euclid’s geometry

  • Introduction
  • Euclid’s definitions, axioms and postulates,
  • Equivalent versions of Euclid’s fifth postulate

Chapter 3

Lines and angles:

  • Introduction
  • Basic terms and definitions
  • Intersecting lines and non-intersecting lines
  • Pairs of angles
  • Parallel lines and a transversal
  • Line parallel to the same line
  • Angle sum property of a triangle

Chapter 4

Polynomials

  • Introduction
  • Polynomial in one variable
  • Zeros of a polynomial
  • Remainder theorem
  • Factorisation of a polynomial
  • Algebraic identities

Chapter 5

Triangles

  • Introduction
  • Congruence of a triangle
  • Criteria for Congruence of triangles
  • Some properties of a triangle
  • Some more criteria for congruence of a triangle
  • Inequalities in a triangle

Chapter 6

Constructions

  • Introduction
  • Basic constructions
  • Some constructions of a triangles

Chapter 7

Quadrilateral

  • Introduction
  • Angle sum property of a quadrilateral
  • Types of quadrilaterals
  • Properties of a parallelogram
  • Another condition for a quadrilateral to be a parallelogram
  • The mid-point theorem

Chapter 8

Heron’s formula

  • Introduction
  • Area of a triangle – by Heron’s formula
  • Application of Heron’s formula in finding areas of quadrilaterals

Chapter 9

Coordinate geometry

  • Introduction
  • Cartesian system
  • Plotting a point in the plane if its coordinates are given

Chapter 10

Linear equations in two variables

  • Introduction
  • Linear equations
  • Solution of linear equation
  • Graph of linear equations in two variables
  • Equations of lines parallel to x-axis and y-axis

Chapter 11

Areas of parallelograms and triangles

  • Introduction
  • Figures on the same Base and between the same parallels
  • Parallelograms on the same base and between the same parallels
  • Triangles on the same base and between the same parallels

Chapter 12

Circles

  • Introduction
  • Circles and its related terms: A review
  • Angle subtended by a chord at a point
  • Perpendicular from the centre to a chord
  • Circle through three points
  • Equal chords and their distances from the centre
  • Angle subtended by an arc of a circle
  • Cyclic quadrilaterals

Chapter 13

Surface areas and volumes

  • Introduction
  • Surface area of a cuboid and a cube
  • Surface area of a right circular cylinder
  • Surface area of a right circular cone
  • Surface area of a sphere
  • Volume of a cuboid
  • Volume of a cylinder
  • Volume of a right circular cone
  • Volume of a sphere

Chapter 14

Statistics

  • Introduction
  • Collection of Data
  • Presentation of data
  • Graphical representation of data
  • Measures of central tendency

Chapter 15

Probability

  • Introduction
  • Probability – an experimental approach

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