NCERT Ganita Manjari, Class 9, 2026–27
Help your teen with Class 9 Maths, one chapter at a time
All 14 chapters of the Class 9 NCERT maths book, Ganita Manjari Part I and Part II, with focused study sessions, real-life examples, common mistakes and quick checks for each chapter. Each chapter has its own page with a home activity, a game, a 5-day plan, the mistakes to watch for and questions to check it stuck.
NCERT Class 9 maths at home: how this guide works
Understand first, then practise. Ask for the idea in their own words before doing exercises. Understanding makes practice stick.
30 minutes, most days. Short and often beats long and weekly. Each chapter page has a 5-day plan.
Let them explain. Ask “How did you know?” more than “What is the answer?” A wrong answer explained out loud tells you exactly what to fix.
Go in book order. Chapters build on each other. If a chapter feels hard, go back one.
Chapter 1: Orienting Yourself: The Use of Coordinates
Coordinate plane, plotting points and distance textbook pages 1–15 (Part I)
Your teen learns to locate any point with two numbers (x, y) on the coordinate plane, plots points in all four quadrants, and uses coordinates to describe positions, maps and simple shapes.
- coordinates
- x-axis
- y-axis
- origin
- quadrant
- ordered pair
Chapter 2: Introduction to Linear Polynomials
Linear expressions, graphs and zeros textbook pages 16–40 (Part I)
Your teen studies expressions like 2x + 3: their value for different x, their straight-line graphs, the slope (rate of change) and the zero (where the line crosses the x-axis). Real situations like taxi fares follow linear rules.
- linear polynomial
- coefficient
- constant
- graph
- slope
- zero
Chapter 3: The World of Numbers
Number systems: rational and irrational numbers textbook pages 41–67 (Part I)
From counting numbers to integers, fractions and beyond: your teen explores rational numbers (terminating and repeating decimals), irrational numbers like √2 and π, locates them on the number line, and learns why √2 cannot be a fraction.
- natural
- integer
- rational
- irrational
- terminating
- recurring
- real numbers
Chapter 4: Exploring Algebraic Identities
Identities and factorisation textbook pages 68–91 (Part I)
Your teen proves and uses identities such as (a + b)², (a − b)², (a + b)(a − b), (a + b + c)² and cube identities, often with area and volume models, and uses them to factorise and calculate quickly.
- identity
- expand
- factorise
- square
- cube
- area model
Chapter 5: I’m Up and Down, and Round and Round
Circles: chords, arcs and angles textbook pages 92–117 (Part I)
Your teen studies circles: radius, chord, arc, the symmetry of a circle, perpendicular from the centre bisecting a chord, equal chords equidistant from the centre, angles subtended by arcs, and when points lie on one circle (concyclic).
- radius
- chord
- arc
- subtend
- perpendicular bisector
- concyclic
Chapter 6: Measuring Space: Perimeter and Area
Perimeter, π, arc length and areas textbook pages 118–154 (Part I)
Your teen measures perimeters of polygons and circles, explores why C/D = π (and how Archimedes estimated it), finds arc lengths, and area formulas for rectangles, parallelograms, triangles (including Heron’s formula) and circles.
- perimeter
- circumference
- π
- arc length
- area
- Heron’s formula
Chapter 7: The Mathematics of Maybe: Introduction to Probability
Chance, experiments and probability textbook pages 155–173 (Part I)
Your teen learns to measure chance on a scale from 0 to 1, runs experiments with coins and dice, compares experimental and theoretical probability, and sees why more trials give results closer to theory.
- probability
- outcome
- event
- trial
- experimental
- theoretical
- likely
Chapter 8: Predicting What Comes Next: Exploring Sequences and Progressions
Sequences and arithmetic progressions textbook pages 174–200 (Part I)
Your teen spots patterns in sequences, finds rules for the nth term, studies arithmetic progressions (constant difference) and their sums, and meets geometric patterns like doubling.
- sequence
- term
- common difference
- arithmetic progression
- nth term
- sum
Chapter 9: Propositions and their Converses
Statements, converses and counterexamples textbook pages 1–7 (Part II)
A proposition is a statement that is true or false. Your teen learns “if X then Y” statements, their converses (“if Y then X”), why a true statement can have a false converse, and how one counterexample disproves a claim.
- proposition
- converse
- if … then
- counterexample
- implies
- proof
Chapter 10: How Quantities Combine: Understanding Data
Weighted averages, percentages and data displays textbook pages 8–36 (Part II)
The average of two group averages is not the average of everyone unless the groups are the same size. Your teen learns weighted averages, combines ratios and percentages correctly, and reads and draws data displays such as pie charts.
- average
- weighted average
- weight
- percentage
- pie chart
- combine
Chapter 11: The World of Algorithms
Step-by-step procedures: addition, GCD, data structures textbook pages 37–50 (Part II)
An algorithm is a precise step-by-step procedure. Your teen analyses familiar algorithms like column addition, learns Euclid’s algorithm for the greatest common divisor, and meets simple ways to organise data such as lists and stacks.
- algorithm
- step
- input
- output
- GCD
- Euclid’s algorithm
- data structure
Chapter 12: Quadrilaterals
Parallelograms and their properties textbook pages 51–84 (Part II)
Your teen studies quadrilaterals precisely: properties of parallelograms (opposite sides and angles equal, diagonals bisect each other), conditions that make a quadrilateral a parallelogram, the mid-point theorem, and tiling the plane with any quadrilateral.
- parallelogram
- diagonal
- bisect
- mid-point theorem
- congruent
- tiling
Chapter 13: Two Variables, One Line
Linear equations in two variables and solving pairs textbook pages 85–122 (Part II)
Mangoes at ₹60 per kg and bananas at ₹50 per kg costing ₹280 in all give 60x + 50y = 280. Your teen writes linear equations in two variables, graphs them as lines, and solves a pair of equations by graphing, substitution and elimination.
- linear equation
- two variables
- solution
- graph
- substitution
- elimination
Chapter 14: Math of Space: Surface Area and Volume
Surface area and volume of solids textbook pages 123–164 (Part II)
Your teen finds surface areas and volumes of cuboids, cubes, cylinders, cones, pyramids, spheres and hemispheres, links formulas to nets, and applies them to tanks, cans and packaging.
- surface area
- volume
- net
- cylinder
- cone
- sphere
- hemisphere
This guide follows the topics of NCERT’s Ganita Manjari (Class 9). Activities, wording and illustrations are Mathify Kids’ own.
Questions parents ask
How can I help with Class 9 maths if I’ve forgotten it?
Ask your teen to explain each idea to you. Check work by substituting numbers and discuss real-life uses.
Which book does this guide follow?
NCERT Ganita Manjari for Grade 9, Part I (chapters 1–8) and Part II (chapters 9–14), 2026 edition.
What are the hardest chapters in Class 9?
Often The World of Numbers (irrationals), Exploring Algebraic Identities and circle theorems.
How much practice is needed?
About 30–45 minutes on most days, mixing understanding and practice problems.
Is probability in Class 9?
Yes, Chapter 7 introduces probability with experiments.
Are linear equations in two variables in Class 9?
Yes, in Part II Chapter 13, Two Variables, One Line, including solving pairs of equations.