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  Grade X-Math

The following is the list of topics covered under Grade 10.  However it can be customized according to each student’s requirements.   

Number Theory

  • Sequences
  • Series
  • Modular Arithmetic
  • Number Patterns
  • Euclid’s Division Lemma
  • The Fundamental Theorem of Arithmetic
  • Irrational Numbers
  • Rational Numbers and Their Decimal Expansions

Algebra/Linear Algebra

  • Sets
  • Relations and Functions
  • Square root
  • Linear equations with two variables
  • Simultaneous Equations
  • Polynomials
  • Greatest common divisor and Least Common Multiple of polynomials
  • Rational expressions
  • Zeroes of a Polynomial
  • Relationship between Zeroes and Coefficients of a Polynomial
  • Division Algorithm for Polynomials
  • System of Linear Equations in Two Variables
  • Solving systems of Linear Equations graphically
  • Solving systems of Linear Equations algebraically
  • Substitution Method, Elimination Method, Cross-Multiplication Method
  • Quadratic Equations
  • Solution of a Quadratic Equation by Factorization
  • Solution of a Quadratic Equation by Completing the Square
  • Nature of Roots
  • Arithmetic progression

Geometry and Measurement

  • Locus
  • Circles
  • Angles in a Circle
  • Tangents to a circle
  • Number of Tangents from a Point on a Circle
  • Similar Figures
  • Similarity of Triangles
  • Areas of Similar Triangles
  • Pythagoras Theorem
  • Coordinate geometry
  • Volumes and Surface Areas
  • Cuboid and cube
  • Right circular cylinder, Right circular cone, Sphere
  • Surface areas and volumes of combinations of solids
  • Frustum of a right circular cone
  • Ratio Formula
  • Area of a Triangle
  • Straight Lines
  • Some Properties of Straight Lines
  • Distance Formula
  • Section Formula
  • Perimeter and Area of a Circle
  • Areas of Combinations of Plane Figures
  • Conversion of Solid from One Shape to Another

Trigonometry

  • Degree/radian measures
  • Trigonometric ratios
  • Trigonometric Ratios of Some Specific Angles
  • Trigonometric Ratios of Complementary Angles
  • Trigonometric Identities
  • Special right triangles
  • Use of Trigonometric Tables
  • Heights and Distances

Probability and Statistics

  • Probability
  • Counting procedures
  • Conditional probability
  • Pictorial representation of data
  • Mean, median, mode and range
  • Dispersion
  • Graphical Representation of Cumulative Frequency Distribution
  • Permutations and combinations

Mathematical Models with Applications

  • Stages in Mathematical Modeling
  • Some Examples
  • Importance of Mathematical Modeling
  • Techniques to study patterns and analyze data
  • Problems related to personal income and credit
  • Problems related to financial planning
  • Transformations, symmetry
 
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