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  Grade IX-Math

The following is the list of topics covered under Grade 9.  However it can be customized according to each student’s requirements.    

Number Systems

  • Real and Irrational Numbers
  • Representing Real Numbers on the Number Line
  • Operations on Real Numbers
  • Laws of Exponents for Real Numbers

Algebra

  • Polynomials
  • Algebraic Identities
  • Factorization, completing the square, Quadratic formula
  • Systems of equations/inequalities
  • Linear and quadratic functions
  • Linear equations/inequalities
  • Solution and graph of a Linear Equation with two variables
  • Different forms of equation of a line
  • Properties of Logarithms
  • Series and sequences

Geometry

  • Angles of triangles and polygons
  • Intersecting Lines and Non-intersecting Lines
  • Pairs of Angles
  • Parallel Lines and a Transversal
  • Properties of a Triangles
  • Congruence of Triangles
  • Angle Sum Property of a Quadrilateral
  • Types and Properties of Quadrilaterals
  • Circles and its Related Terms
  • Euclid’s Definitions, Axioms and Postulates
  • Equivalent Versions of Euclid’s Fifth Postulate
  • Surface areas and volumes of cuboid, cone, cylinder and sphere
  • Areas and perimeters

Coordinate Geometry

  • Cartesian Coordinate Systems
  • Slope of a line
  • Distance between any two points
  • Plotting a Point in the Plane if its Coordinates are given

Trigonometry

  • Degree/radian measures
  • Basic trigonometric functions and inverse trigonometric functions
  • Special right triangles
  • Trigonometric values of standard angles
  • Pythagorean identities
  • Trigonometric equations
  • Trigonometric ratios and identities
  • Trigonometric Ratios for Complementary Angles
  • Law of sines and law of cosines

Statistics

  • Collection of Data
  • Presentation of Data
  • Geographical Representation of Data
  • Measures of Central Tendency

Probability

  • Probability – an Experimental Approach
  • Permutation and combination

Graphs

  • Linear Graphs
  • Application of Linear Graphs
 
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