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🎓 Grade 9 – CBSE Mathematics Curriculum

Grade 9 Mathematics lays the groundwork for board exams and advanced applications. Students explore algebra, geometry, statistics, and real-world problem solving with deeper rigor and precision.

🔢 Number Systems

  • Rational and irrational numbers
  • Real number system and its properties
  • Exponents and laws of indices
  • Surds and simplification
  • Decimal expansions and number line representation

🧮 Algebra

  • Polynomials: types, addition/subtraction, identities
  • Factorization using algebraic methods
  • Zeroes of a polynomial
  • Linear equations in two variables: graph-based solutions, real-life problems

📐 Coordinate Geometry

  • Cartesian plane and plotting points
  • X-axis, Y-axis, origin, quadrants
  • Applications of coordinate geometry in graphing linear equations

📊 Lines and Angles

  • Basic terms and definitions
  • Intersecting lines and angles
  • Parallel lines and transversal
  • Angle sum property of triangles
  • Proof-based theorems (as per syllabus)

🔺 Triangles

  • Congruence criteria (SSS, SAS, ASA, RHS)
  • Properties of triangles
  • Inequalities in a triangle
  • Pythagoras theorem and its converse

🔷 Quadrilaterals & Circles

  • Types and properties of quadrilaterals
  • Mid-point theorem
  • Circle: basic terms, chords, arcs, angles subtended
  • Theorems (as per curriculum): angle subtended by arc, perpendicular from center to chord

📏 Mensuration

  • Surface area and volume of cubes and cuboids
  • Cylinders, cones and spheres
  • Combination of solids (introductory)
  • Real-world word problems using formulas

📊 Statistics

  • Data collection and tabulation
  • Frequency tables
  • Mean, median, mode
  • Use of bar graphs and histograms

🎲 Probability (Introduction)

  • Basic terms: experiment, outcome, event
  • Simple problems using equally likely outcomes
  • Real-life examples (coins, dice, playing cards)

🎯 Learning Goals by the End of Grade 9

  • Solid foundation for Grade 10 board exams
  • Confident with algebraic expressions, geometry, and data
  • Able to apply math to physics, economics, and competitive exams
  • Ready for CBSE/ICSE/IGCSE standards and beyond

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