Chapter 1
Rational & Irrational Numbers
Distinguish between rational and irrational numbers and represent them on the number line.
The Class 9 ICSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
Chapter 1
Distinguish between rational and irrational numbers and represent them on the number line.
Chapter 2
Solve advanced compound interest problems including growth, depreciation, and installments.
Chapter 3
Use standard algebraic identities to expand expressions and simplify complex products.
Chapter 4
Factorize polynomials using remainder theorem, factor theorem, and algebraic identities.
Chapter 5
Solve pairs of linear equations using substitution, elimination, and cross-multiplication methods.
Chapter 6
Apply laws of indices to simplify expressions with fractional and negative exponents.
Chapter 7
Understand logarithmic notation, laws of logarithms, and solve logarithmic equations.
Chapter 8
Study triangle properties including inequality, angle sum, exterior angle, and congruence criteria.
Chapter 9
Prove and apply the mid-point theorem and its converse in triangles and quadrilaterals.
Chapter 10
Prove the Pythagorean theorem and apply it to solve problems involving right triangles.
Chapter 11
Study properties and theorems of parallelograms, rectangles, rhombuses, and squares.
Chapter 12
Explore circle properties including chords, arcs, angles subtended, and cyclic quadrilaterals.
Chapter 13
Calculate mean, median, and mode for grouped and ungrouped data sets.
Chapter 14
Compute probability of events using sample spaces and apply addition rule.
Chapter 15
Define sine, cosine, and tangent ratios and solve problems involving right triangles.
Chapter 16
Construct angle bisectors, perpendicular bisectors, and triangles under given conditions.
Chapter 17
Calculate area of triangles using Heron's formula and area of quadrilaterals and polygons.
Chapter 18
Find surface area and volume of cylinders, cones, spheres, and hemispheres.