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Mathematics Class IX
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Syllabus Mathematics : Class IX
Number System
Introduction
Irrational numbers
Real numbers and their decimal expansions
Representing real numbers on a number line
Representing real numbers on a number line
Law of exponents for real numbers
Polynomials
Polynomial in one variable
Zeroes of a polynomial
Solving linear equations having variable on both sides
Remainder theorem
Factorization of polynomial
Algebraic identities
Coordinate geometry
Co-ordinate System
Cartesian Co-ordinate System
Quadrant
Plotting of Points
Distance Between Points
Linear equation in two variables
Linear equations
Solution of linear equations
Graph of a linear equation in two variables
Introduction to Euclid's geometry
Introduction
Euclid's definition and postulates
Equivalent versions of Euclid's fifth postulate
Lines and angles
Basic terms and definition
Intersecting and non-intersecting lines
Pair of angles: Linear pair
Pair of angles: Vertically opposite angles
Parallel lines and a transversal
Lines parallel to the same line
Angle sum property of triangle
Triangles
Congruence of triangle
Criteria for Congruence of triangle (SAS, ASA, AAS)
Some properties of triangles
Some more criteria for congruency of triangle (SSS, RHS)
Inequalities in triangle
Quadrilaterals
Angle sum property of quadrilateral
Types of quadrilateral
The diagonal divides a parallelogram into two congruent triangles.
Properties of parallelogram
The midpoint theorem
Areas of parallelograms and triangles
Parallelograms and Triangles
Circles
Circles and its relative terms
Angle subtended by chord at a point
Perpendicular from center to chord
Circles through three points
Equal chords and their distances from center
Cyclic quadrilaterals
Construction
Construction Of Angle And Perpendicular Bisector
Construction of a triangle given its base, sum/difference of the other two sides and one base angle
Construction of a triangle of given perimeter and base angles
Heron's formula
Heron's formula
Application of Heron's formula for calculating area of triangle
Surface areas and volume
s
Surface area of cube and cuboid
Surface area of right circular cylinder
Surface area of 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
Statistics
Collection of data & it presentation
Graphical representation of data: grouped/ ungrouped bar graphs
Histograms
Frequency polygons
Measure of Central tendency
Probability
Probability- an experimental approach
Empirical probability