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Class 9 Mathematics

Class 9 Mathematics: full syllabus tuition with regular tests (CBSE / UP Board).

12 महीनेअवधि 12Chapters53टॉपिक
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सिलेबस · पाठ्यक्रम

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01Number Systems 6 टॉपिक
  1. Rational and irrational numbers
  2. Real numbers and the number line
  3. Decimal expansions of real numbers
  4. Operations on real numbers
  5. Rationalising the denominator
  6. Laws of exponents for real numbers
02Polynomials 5 टॉपिक
  1. Polynomials in one variable and their degree
  2. Zeroes of a polynomial
  3. Remainder theorem
  4. Factor theorem and factorisation
  5. Algebraic identities
03Coordinate Geometry 4 टॉपिक
  1. Cartesian system and axes
  2. Quadrants and sign convention
  3. Coordinates of a point
  4. Plotting points in the plane
04Linear Equations in Two Variables 4 टॉपिक
  1. Linear equations in the form ax + by + c = 0
  2. Solutions of a linear equation
  3. Infinitely many solutions
  4. Writing word problems as linear equations
05Introduction to Euclid's Geometry 4 टॉपिक
  1. Euclid's definitions
  2. Euclid's axioms
  3. Euclid's five postulates
  4. Equivalent versions of the fifth postulate
06Lines and Angles 5 टॉपिक
  1. Basic terms and definitions
  2. Intersecting and non-intersecting lines
  3. Pairs of angles: linear pair, vertically opposite angles
  4. Parallel lines and a transversal
  5. Lines parallel to the same line
07Triangles 4 टॉपिक
  1. Congruence of triangles
  2. Criteria for congruence: SAS, ASA, AAS, SSS, RHS
  3. Properties of an isosceles triangle
  4. Inequalities in a triangle
08Quadrilaterals 4 टॉपिक
  1. Angle sum property of a quadrilateral
  2. Properties of a parallelogram
  3. Conditions for a quadrilateral to be a parallelogram
  4. The mid-point theorem and its converse
09Circles 5 टॉपिक
  1. Angle subtended by a chord at the centre
  2. Perpendicular from the centre to a chord
  3. Equal chords and their distances from the centre
  4. Angle subtended by an arc
  5. Cyclic quadrilaterals
10Heron's Formula 3 टॉपिक
  1. Semi-perimeter of a triangle
  2. Area of a triangle by Heron's formula
  3. Application to quadrilaterals and real-life plots
11Surface Areas and Volumes 5 टॉपिक
  1. Surface area of a right circular cone
  2. Surface area of a sphere and hemisphere
  3. Volume of a right circular cone
  4. Volume of a sphere and hemisphere
  5. Word problems on cones and spheres
12Statistics 4 टॉपिक
  1. Collection and presentation of data
  2. Bar graphs and histograms
  3. Frequency polygons
  4. Mean, median and mode of ungrouped data

परिचय

आप यह कर पाएँगे

  • Classify real numbers as rational or irrational, rationalise denominators and apply the laws of exponents
  • Work with polynomials using the remainder theorem, factor theorem and algebraic identities
  • Plot points on the Cartesian plane and solve linear equations in two variables
  • Prove and apply results on lines, angles, triangles, quadrilaterals and circles
  • Find areas of triangles with Heron's formula and surface areas / volumes of cones, spheres and hemispheres
  • Organise data and calculate mean, median and mode
  • Write well-set-out solutions in board-exam style within time

यह किसके लिए है

  • Class 9 students of CBSE and UP Board schools
  • Students who want a strong base for Class 10 board Mathematics
  • Learners who need regular practice and tests to remove fear of maths

आपको क्या चाहिए

  • Class 8 Mathematics completed (basic arithmetic, algebra and geometry)
  • NCERT Mathematics textbook for Class 9, notebook, geometry box and a simple calculator for checking

सवाल

Does this course follow the latest NCERT syllabus?

Yes. It follows the current rationalised NCERT Class 9 Mathematics book, which is used by CBSE and UP Board.

How often are tests held?

There is a short test after every chapter, a monthly test, and half-yearly and final practice papers in exam pattern.

My child is weak in maths. Will this help?

Yes. Each chapter starts from basics with solved examples, then NCERT exercises, then extra practice, and doubts are cleared in class.

Are NCERT exemplar questions covered?

Yes, important exemplar and board-pattern questions are practised after the NCERT exercises.

Download the syllabus (PDF)

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