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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
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Polynomials
- Polynomial in one variable
- Zeroes of a polynomial
- Solving linear equations having variable on both sides
- Remainder theorem
- Factorization of polynomial
- Algebraic identities
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Coordinate geometry
- Co-ordinate System
- Cartesian Co-ordinate System
- Quadrant
- Plotting of Points
- Distance Between Points
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Linear equation in two variables
- Linear equations
- Solution of linear equations
- Graph of a linear equation in two variables
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Introduction to Euclid’s geometry
- Introduction
- Euclid’s definition and postulates
- Equivalent versions of Euclid’s fifth postulate
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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
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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
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Quadrilaterals
- Angle sum property of quadrilateral
- Types of quadrilateral
- The diagonal divides a parallelogram into two congruent triangles.
- Properties of parallelogram
- The midpoint theorem
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Areas of parallelograms and triangles
- Parallelograms and Triangles
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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
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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
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Heron’s formula
- Heron’s formula
- Application of Heron’s formula for calculating area of triangle
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Surface areas and volumes
- 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
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Statistics
- Collection of data & it presentation
- Graphical representation of data: grouped/ ungrouped bar graphs
- Histograms
- Frequency polygons
- Measure of Central tendency
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Probability
- Probability- an experimental approach
- Empirical probability
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