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Chapter Guides
28 chapter guides for CBSE and Kerala State Board — each with a crisp formula reference and a story that makes it stick.
Maths· Chapter 1
Arithmetic Sequences
nth term, sum formula, membership test — crisp reference or walk-through story mode.
Maths· Chapter 2
Circles
Chord theorems, cyclic quadrilaterals, angle in semicircle — crisp formulas and story mode.
Maths· Chapter 3
Arithmetic Sequences and Algebra
Algebraic form xₙ=an+b, Gauss's sum trick, and finding a sequence from its sum formula — crisp formulas and story mode.
Maths· Chapter 4
Mathematics of Chance
Probability basics — P(E) formula, geometrical (area) probability, paired-event counting, and 'at least one' via complementary counting.
Maths· Chapter 5
Second Degree Equations
Solving quadratic equations by completing the square — square identities, the two-solutions rule, and checking answers against context.
Maths· Chapter 6
Trigonometry
Special right-triangle ratios, sin/cos/tan, the SAS area formula, radians, chord length, ratio of sides, and heights & distances.
Maths· Chapter 7
Coordinates
Finding a rectangle's missing vertices, the distance formula, distance from the origin, collinearity, and the fourth-vertex trick.
Maths· Chapter 8
Tangents
Tangent ⊥ radius, equal tangents, the two-tangent angle relationship, the alternate segment theorem, the Pitot theorem, and the incircle.
Maths· Chapter 10
Circles And Lines
Intersecting chords theorem, power of a point, tangent-secant relation — crisp formulas and story mode.
Maths· Chapter 12
Solids
Square pyramids (slant height, surface area, volume), cones built from rolled sectors, and spheres vs their enclosing cylinder.
Maths· Chapter 11
Geometry and Algebra
A parallelogram's fourth vertex, the midpoint and section formulas, slope, the equation of a line, and the equation of a circle.
Maths· Chapter 9
Polynomials and Equations
The (x+a)(x+b) identity, factoring by sum & product, the sum-difference trick, and deriving the quadratic formula.
Maths· Chapter 13
Statistics
Why the mean can mislead, the median for odd/even counts, and finding the median of grouped data using the arithmetic-sequence method.
Physics· Chapter 1
Light — Reflection & Refraction
Mirror formula, Snell's Law, lens formula — built around a kitchen spoon, a pencil in water, and grandpa's glasses.
Physics· Chapter 2
Human Eye & the Colourful World
Defects of vision, dispersion, scattering and why the sky is blue — explained through stories.
Maths· Chapter 1
Real Numbers
Fundamental Theorem of Arithmetic, HCF/LCM by prime factorisation, and proving √2, √3, √5 are irrational — crisp formulas and story mode.
Maths· Chapter 2
Polynomials
Geometrical meaning of zeroes, and the sum/product relationships between zeroes and coefficients for quadratics and cubics — crisp formulas and story mode.
Maths· Chapter 3
Pair of Linear Equations in Two Variables
The ratio test for predicting unique/no/infinite solutions, plus substitution and elimination methods — crisp formulas and story mode.
Maths· Chapter 4
Quadratic Equations
Solving by factorisation, the quadratic formula, and the discriminant's three cases for the nature of roots — crisp formulas and story mode.
Maths· Chapter 5
Arithmetic Progressions
The nth term formula, sum of first n terms, and why sum equations can have two valid answers — crisp formulas and story mode.
Maths· Chapter 6
Triangles
The Basic Proportionality Theorem (Thales), and the AA, SSS, SAS similarity criteria — crisp formulas and story mode.
Maths· Chapter 7
Coordinate Geometry
The distance formula, classifying shapes with distances, and the section/midpoint formulas — crisp formulas and story mode.
Maths· Chapter 8
Introduction to Trigonometry
The six trigonometric ratios, why they depend only on the angle, standard angle values, and the three Pythagorean identities — crisp formulas and story mode.
Maths· Chapter 9
Some Applications of Trigonometry
Angle of elevation/depression, choosing the right trig ratio, and solving two-triangle height-and-distance problems — crisp formulas and story mode.
Maths· Chapter 10
Circles
Tangent vs secant, why a tangent is perpendicular to the radius, and why the two tangent lengths from an external point are always equal — crisp formulas and story mode.
Maths· Chapter 11
Areas Related to Circles
Area of a sector, arc length, and area of a segment (sector minus triangle) — crisp formulas and story mode.
Maths· Chapter 12
Surface Areas and Volumes
Why combined-solid surface area uses CSA not TSA, handling mismatched bases, and why volume is always additive — crisp formulas and story mode.
Maths· Chapter 13
Statistics
The three equivalent mean methods, mode of grouped data, and median via cumulative frequency — crisp formulas and story mode.
Maths· Chapter 14
Probability
Theoretical probability, elementary events, and complementary events (P(E) + P(not E) = 1) — crisp formulas and story mode.
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