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CBSE · Class 9
Class 9 · Ganita Manjari
Foundations for the board year.
Unit 1
Orienting Yourself: The Use of Coordinates
Cartesian plane, plotting points, distance and midpoint.
Open unit
Unit 2
Introduction to Linear Polynomials
Polynomials — definition, types, evaluation, zeros.
Open unit
Unit 3
The World of Numbers
Rationals, irrationals, real numbers, and decimal expansions.
Open unit
Unit 4
Exploring Algebraic Identities
Key identities and their use in expansion & factorisation.
Open unit
Unit 5
I'm Up and Down, and Round and Round
Cyclic and repeating patterns; periodic behaviour.
Open unit
Unit 6
Measuring Space: Perimeter and Area
Heron's formula, areas of quadrilaterals, and mixed shapes.
Open unit
Unit 7
The Mathematics of Maybe: Introduction to Probability
Chance, experimental probability, and simple events.
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Unit 8
Predicting What Comes Next: Sequences and Progressions
Arithmetic and geometric progressions, general terms, sums.
Open unit
Unit 9
Propositions and their Converses
What is a statement, when is it true, and how does a converse behave differently?
Open unit
Unit 10
How Quantities Combine: Understanding Data
Organising raw data, frequency distributions, and the three big averages: mean, median, mode.
Open unit
Unit 11
The World of Algorithms
An algorithm is a step-by-step recipe. Explore ancient and modern algorithms for arithmetic and number theory.
Open unit
Unit 12
Quadrilaterals
Four-sided figures — angle sum, and the family tree from parallelogram down to square.
Open unit
Unit 13
Two Variables, One Line
Linear equations in two variables — infinite solutions, one straight-line graph.
Open unit
Unit 14
Math of Space: Surface Area and Volume
Surface areas and volumes of the standard solids — cuboid, cube, cylinder, cone, sphere, hemisphere.
Open unit