Maths TNSB Mentoring

Class 10

  1. Relations and functions

    1. Cartesian product I

    2. Cartesian product II

    3. Relations

    4. Functions I

    5. Functions II

    6. Representation of functions

    7. Types of functions

  2. Numbers and sequences

    1. Euclid division lemma

    2. Fundamental theorem of arithmetic

    3. Modular Arithmetic, Congruence Modulo and Modulo Operations

    4. Sequences

    5. Arithmetic progression

    6. Sum of arithmetic progression

    7. Geometric progression

    8. Geometric series

    9. Special series

    10. Revision

  3. Algebra

    1. Linear equation in three variables

    2. GCD and LCM of polynomials

    3. Rational expression and its operations

    4. Square root of a polynomial

    5. Zeroes, Roots of Quadratic Equation; Formation and Solving Quadratic Equations

    6. Zeroes, Roots of Quadratic Equation; Formation and Solving Quadratic Equations

    7. Nature of roots and relation between roots and coefficients of quadratic equation

    8. Nature of roots and relation between roots and coefficients of quadratic equation

    9. Graph of Variations and Quadratic Graph

    10. Matrix - Basics, Add and Subtract

    11. Matrix - Mulitplication

  4. Geometry

    1. Similar Triangles and Its Criteria

    2. Construction of Triangles

    3. Thales & Angle Bisector Theorem

    4. Pythgorous Theorem I

    5. Pythgorous Theorem II

    6. Circles and Tangent I

    7. Circles and Tangent II

    8. Ceva's theorem, Menelaus theorem and Construction

    9. Geometry - Construction

    10. Revision I

  5. Coordinate Geometry

    1. Area of Triangle and Collinearity of points

    2. Inclination of Straight, Parallel and Perpendicular lines

    3. Straight Line and Slope

    4. General Form of Straight Line I

    5. General Form of Straight Line II

  6. Trigonometry

    1. Trigonometric Identities I

    2. Trigonometric Identities II

    3. Trigonometric Identities III

    4. Trigonometric Identities IV

    5. Angle of Elevation

    6. Angle of Depression

    7. Angle of Elevation and Depression I

    8. Angle of Elevation and Depression II

  7. Mensuration

    1. Surface Area of Right Circular Cylinder and Hollow Cylinder

    2. Surface Area of Right Circular Cone and Frustum of Cone

    3. Surface Area of Sphere, Hemisphere and Hollow Hemisphere

    4. Volume of Right Circular Cylinder, Hollow Cylinder and Right Circular Cone

    5. Volume of Sphere, Hollow Sphere, Hemisphere, Hollow Hemisphere and Frustum of Cone

    6. Volume and Surface Area of Combined Solids

    7. Revision

  8. Statistics and Probability

    1. Basics of Statistics

    2. Measures of Dispersion - SD

    3. Measures of Dispersion - SD & Variance

    4. Coefficient of Variation

    5. Basics of Probability

    6. Algebra of Events I

    7. Algebra of Events II

Class 9

  1. Set Language

    1. Set and its representation

    2. Types of sets

    3. Set Operations

    4. Properties of set operations

    5. De Morgan's law

    6. Application on cardinality of sets

  2. Real Numbers

    1. Rational and Irrational Numbers

    2. Decimal Expansion of Rational and Irrational Number

    3. Real Numbers and its Visual Representation I

    4. Real Numbers and its Visual Representation II

    5. Surds and its Basic Operations I

    6. Surds and its Basic Operations II

    7. Represent the number in Scientific Notation

  3. Algebra

    1. Introduction to Arithmetic Polynomial

    2. Values and Zeroes of a polynomial I

    3. Values and Zeroes of a Polynomial II

    4. Reminder Theorem and Factor Theorem I

    5. Reminder Theorem and Factor Theorem II

    6. Algebraic Identities I

    7. Algebraic Identities II

    8. Factoirzation

    9. Division of Polynomials I

    10. Division of Polynomials II

    11. GCD of Polynomials

    12. Linear Equation in Two Variable I

    13. Linear Equation in Two Variable II

    14. Linear Equation in Two Variable III

  4. Geometry

    1. Basics of Geometry

    2. Basics of Geometry II

    3. Quadrilateral I

    4. Quadrilateral II

    5. Quadrilateral III

    6. Introduction to Circles

    7. Theorems on Circles I

    8. Theorems on Circles II

    9. Theorems on Circles III

  5. Coordinate Geometry

    1. Coordinate System

    2. Distance Formula

    3. Midpoint

    4. Mid Point II

    5. Trisection

    6. Section Formula I

    7. Section Formula II

    8. Centroid

  6. Trigonometry

    1. Trigonometric Ratios

    2. Trigonometric Degrees

    3. Complementary Angles

    4. Trigonometric Tables

  7. Mensuration

    1. Heron's formula and its applications I

    2. Herons' formula and its applications II

    3. Surface area of cube and cuboid

  8. Statistics

    1. Arithmetic mean of grouped data and special property

    2. Mean of grouped data

    3. Median

    4. Mode and Empirical relationship between mean, median and mode

  9. Probability

    1. Classical and Empirical approach

    2. Types of events

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