Indian Curriculum


Mathematics G10

  • Overview
  • Chapters

Mathematics G10

  • 1: Number Systems
    1.1: Real Numbers
    1.1.1: Euclid's Division Lemma.
    1.1.2: Fundamental Theorem of Arithmetic.
    1.1.3: Proofs of irrationality of decimal representation of rational numbers.
  • 2: Algebra
    2.1: Polynomials
    2.1.1: Zeros of Polynomials
    2.1.2: Relationships between zeros and coefficients of quadratic polynomials
    2.1.3: Statement and Simple problems on division
    2.2: Pair of Linear Equations in Two Variables
    2.2.1: Pair of Linear Equations in Two Variables
    2.2.2: Algebraic conditions for number of solutions
    2.2.3: Solution of pair linear equations in two variable
    2.2.4: Simple Situational Problems
    2.2.5: Simple Problems on Equations reducible to linear to linear equations
    2.3: Quadratic Equation
    2.3.1: Standard form of a quadratic equation
    2.3.2: Solutions of quadratic equations by factorization
    2.3.3: Situational problems based on quadratic equations
    2.4: Arithmetic Progression
    2.4.1: Motivation for studying Arithmetic progression
    2.4.2: Derivation of the n th term
    2.4.3: Sum of the first n terms of A.P and their application
  • 3: Coordinate Geometry
    3.1: Lines
    3.1.1: Concepts of coordinate geometry
    3.1.2: Graphs of linear equations
    3.1.3: Distance Formula
    3.1.4: Section Formula
    3.1.5: Area of triangle
  • 4: Geometry
    4.1: Triangles
    4.1.1: Definitions, examples, counter examples of similar triangles
    4.1.2: A line is drawn parallel to one side of triangle to intersect other two sides
  • 5: Trigonometry
    5.1: Introduction to Trigonometry
    5.1.1: Trigonometric Ratios of an acute angle
    5.1.2: Proof of their existence and motivate the ratios
    5.1.3: Values of trigonometric ratios 30, 45, 60
    5.1.4: Relationships between the ratios
    5.2: Trigonometric Identities
    5.2.1: Proof and applications of the identity
    5.2.2: Trigonometric ratios of complementary angles
    5.3: Heights and Distances
    5.3.1: Angle of elevation, Angle of depression
    5.3.2: Simple problems on heights and distances
  • 6: Mensuration
    6.1: Areas related to circles
    6.1.1: Motivate the area of a circle
    6.1.2: Problems based on area and perimeter
    6.2: Surface areas and volumes
    6.2.1: Frustum of a cone
    6.2.2: Problems involving converting one type of metallic solid into another
  • 7: Statics and probability
    7.1: Statics
    7.1.1: Mean, Median and mode of grouped data
    7.1.2: Cumulative frequency graph
    7.2: Probability
    7.2.1: Classical definition of probability
    7.2.2: Simple problems on finding the probability of an event

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