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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: 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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