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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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