Help your teen with Class 11 Maths, one chapter at a time

Your teen learns to describe collections precisely: roster and set-builder forms, empty, finite and infinite sets, subsets and power sets, and union, intersection, difference and complement with Venn diagrams.

• set
• element
• subset
• power set
• union
• intersection
• complement

Your teen forms ordered pairs and Cartesian products, defines relations with domain and range, and learns what makes a relation a function, with graphs of common functions like linear, modulus and greatest integer.

• ordered pair
• Cartesian product
• relation
• function
• domain
• range
• codomain

Trigonometry extends beyond right triangles: angles in radians, trig functions for any angle via the unit circle, their graphs and signs in quadrants, and identities like sin(A + B).

• radian
• unit circle
• period
• quadrant
• compound angle
• identity

When a quadratic has a negative discriminant, its roots are complex. Your teen learns i = √−1, algebra of complex numbers, modulus and conjugate, the Argand plane, and solves quadratics with complex roots.

• imaginary unit
• complex number
• real part
• imaginary part
• conjugate
• modulus
• Argand plane

Your teen solves linear inequalities in one variable, shows solutions on a number line, and graphs inequalities in two variables as half-planes, solving systems by shading.

• inequality
• solution set
• half-plane
• boundary
• shade

Your teen counts systematically with the fundamental principle of counting, factorials, permutations (order matters) and combinations (order doesn’t), and solves word and letter-arrangement problems.

• factorial
• permutation
• combination
• nPr
• nCr
• counting principle

Your teen expands (a + b)ⁿ using Pascal’s triangle and the binomial theorem with nCr coefficients, finds general and middle terms, and uses expansions for quick approximations.

• binomial
• Pascal’s triangle
• coefficient
• general term
• middle term

Your teen revisits arithmetic progressions and meets geometric progressions: nth terms, sums, the relationship between AM and GM, and applications like compound growth.

• sequence
• series
• AP
• GP
• common ratio
• AM
• GM

Your teen finds the slope of a line, uses slopes to test parallel and perpendicular lines, writes equations in point-slope, slope-intercept and general forms, and finds the distance from a point to a line.

• slope
• intercept
• point-slope form
• parallel
• perpendicular
• distance

Slicing a double cone gives circles, ellipses, parabolas and hyperbolas. Your teen learns their standard equations, foci, vertices and eccentricity, and where they appear in real life.

• conic
• circle
• parabola
• ellipse
• hyperbola
• focus
• eccentricity

Your teen extends coordinates to three axes, locates points in octants, and uses the distance formula in space.

• x-, y-, z-axis
• octant
• coordinates in space
• distance formula

The start of calculus. Your teen finds limits intuitively and algebraically, including the standard limit sin x/x → 1, and meets the derivative as the rate of change, using rules for sums, products and quotients.

• limit
• derivative
• rate of change
• first principles
• product rule
• quotient rule

Two classes can have the same average but different spread. Your teen measures dispersion with range, mean deviation, variance and standard deviation, and compares variability with the coefficient of variation.

• range
• mean deviation
• variance
• standard deviation
• coefficient of variation

Your teen describes random experiments with sample spaces, classifies events (mutually exclusive, exhaustive), and uses the axioms and the addition rule to calculate probabilities.

• sample space
• event
• mutually exclusive
• exhaustive
• complement
• axiom