Algebra II & Trigonometry Mastery Hub
Grade 11 expands the function family (polynomial, rational, radical, exponential, log, trig) and adds complex numbers, sequences, conic sections, and statistics.
Grade 11 · Algebra II & Trigonometry
Curriculum Chapters
Functions in Depth
Domain and range, the function and one-to-one tests, even and odd functions, transformations, composition, and inverses.
Polynomial Functions
Long and synthetic division, the remainder and factor theorems, rational roots, graphing by end behavior, and the fundamental theorem of algebra.
Rational Expressions & Functions
Simplify and operate on rational expressions, solve rational equations, and find asymptotes and holes to graph rational functions.
Radical Functions & Complex Numbers
Simplify and solve radical expressions and equations, graph radical functions, and add, multiply, and divide complex numbers a + bi.
Exponential Functions
Exponential growth and decay, graphs of a·bˣ, the number e, and an introduction to logarithms.
Logarithmic Functions
Logarithmic form and the log rules, solving exponential and logarithmic equations, and growth, decay, and pH models.
Trig Ratios & the Unit Circle
Degrees and radians, special angles, the unit circle, and coterminal and reference angles.
Laws of Sines & Cosines
Solve any triangle with the law of sines, the law of cosines, and Heron's formula for area.
Trig Functions & Identities
Prove Pythagorean and sum, difference, and double-angle identities, simplify expressions, and solve trig equations.
Tan, Cot, Sec & Csc Grapher
Graph all six trig functions with interactive periods, asymptotes, and transformations across 8 levels.
Sequences & Series
Arithmetic and geometric sequences, explicit and recursive rules, finite and infinite series, convergence, and sigma notation.
Binomial Theorem
Expand binomial expressions using Pascal's Triangle, factorials, combinations, and the Binomial Theorem formula.
Conic Sections
Identify, write, and graph circles, parabolas, ellipses, and hyperbolas, and convert from general to standard form by completing the square.
Inferential Statistics & Probability
Normal distributions and the empirical rule, z-scores, sampling distributions and the central limit theorem, confidence intervals, and informal hypothesis testing.
Counting Principles
Master factorials, permutations, combinations, tree diagrams, and the Fundamental Counting Principle.
Systems of Nonlinear Equations
Solve systems of linear-quadratic and quadratic-quadratic equations algebraically and graphically.
About this page
About Grade 11 Mathematics
Grade 11 Mathematics on Scholi is organised chapter by chapter. Each chapter opens as an interactive lesson with a visualizer, a cheat sheet of the rules and worked examples, and a practice set arranged in easy, medium and hard tiers.