Grade 11: Math
Start with a unit whose prerequisites fit. Work through the lessons, use the study guide to review, and try the new cases before continuing.
- Unit 1 · 4 lessons
Algebra2: Polynomial Division and Zeros
Polynomial functions connect symbolic factors with graph features. Division, remainder evaluation, real zeros and multiplicity reveal structure without requiring every coefficient to be expanded, but domains and repeated roots still need attention.
Before you begin: Expand and factor quadratics; evaluate polynomials; identify x-intercepts.
- Unit 2 · 4 lessons
Algebra2: Radicals and Complex Values
Root expressions can be simplified through perfect-power factors and rational exponents. Squaring equations can introduce extraneous candidates, while complex arithmetic extends the number system using an imaginary unit with square negative one.
Before you begin: Factor perfect squares and cubes; use integer exponent rules; check equation solutions by substitution.
- Unit 3 · 4 lessons
Algebra2: Rational Functions and Domain
Rational expressions divide polynomials, so denominator zeros are excluded from their domains. Factoring can reveal cancellation or help solve equations, but it does not erase the original restrictions or turn inverse variation into linear change.
Before you begin: Factor a difference of squares; solve simple equations; interpret ratios and nonzero divisors.
- Unit 4 · 4 lessons
Algebra2: Logarithms and Exponential Equations
Logarithms reverse exponentiation with a valid positive base other than one. They answer exponent questions, reorganize multiplicative structure and solve exponential relationships while requiring positive real logarithm arguments.
Before you begin: Evaluate integer powers; solve linear equations; recognize positive and nonzero restrictions.
- Unit 5 · 4 lessons
Algebra2: Sequences, Sums, and Recursion
A sequence distinguishes an indexed term from the sum of several terms. Arithmetic and geometric structures support different formulas, while a recursive definition determines each next term from previously defined values.
Before you begin: Use sequence subscripts; evaluate powers; identify common differences and ratios.
- Unit 6 · 4 lessons
Algebra2: Conic Equations and Features
Circle, parabola, ellipse and hyperbola equations encode geometric features through squared quantities and sign patterns. Standard forms locate centers, focal information, axes or vertices, with care to distinguish full lengths from half lengths.
Before you begin: Read shifted squares; calculate square roots; identify axes and coordinate points.
- Unit 7 · 4 lessons
Statistics: Counting and Random-Variable Models
Counting methods distinguish ordered roles from unordered groups. A probability model assigns chances to possible outcomes, and expected value or binomial counting combines those probabilities while preserving what a single trial can actually produce.
Before you begin: Multiply probabilities of independent events; add fractions; distinguish ordered assignments from sets.
- Unit 8 · 4 lessons
Count Carefully in Probability Models
Use two-way counts, conditional sample spaces, independence tests, and updated draws.
Before you begin: Read and simplify fractions and multiply them. · Understand an equally likely draw and distinguish and from given.
- Unit 9 · 4 lessons
Statistics: Study Design and Careful Inference
Evidence quality depends on how participants and conditions are selected. Random sampling supports population generalization, random assignment supports treatment comparisons, and uncertainty summaries do not repair biased recruitment or uncontrolled causal differences.
Before you begin: Interpret percentages, averages and samples; distinguish observation from assigned treatment.
Check what you can explain
The subject test uses additional supplied cases across these units. Its feedback links back to the relevant lessons. Use it to plan practice; a score on these questions is not a school grade or proof of complete subject mastery.
Open the subject test