Grade 11 Mathematics Curriculum Summary (U.S.)

Domain	Topics Covered
Polynomials & Rational Expressions	– Perform operations on polynomials (add, subtract, multiply, divide)

Factor polynomials (including special products)
Simplify and solve rational expressions and equations |
| Quadratic Functions & Complex Numbers | – Solve quadratics by factoring, completing the square, and quadratic formula
Analyze quadratic graphs (vertex, intercepts, axis of symmetry)
Work with complex numbers (i² = –1) |
| Functions (Linear, Quadratic, Exponential, Radical, Rational) | – Compare and interpret different types of functions
Use function notation
Compose, transform, and invert functions
Solve equations involving square roots and rational expressions |
| Exponential & Logarithmic Functions | – Model growth and decay
Convert between exponential and logarithmic forms
Solve logarithmic and exponential equations using properties |
| Sequences & Series | – Arithmetic and geometric sequences
Summation notation (∑) and formulas for partial sums |
| Probability & Statistics | – Conditional probability
Permutations and combinations
Normal distributions and data modeling with statistical functions |
| Trigonometry (Basic) | – Right triangle trig review
Unit circle introduction (in advanced courses)
Graphing sine, cosine, and tangent (sometimes included) |

Publisher	Curriculum Name	Features
Big Ideas Math – Algebra II	Visual models, real-world applications, and tech tools (Desmos integration)
Illustrative Mathematics	Rich problem-solving and function transformations focus
CPM Algebra II	Collaborative inquiry-based learning with hands-on problem sets
Eureka Math (Algebra II)	Emphasizes conceptual understanding and modeling
enVision / Go Math!	Practice-based and procedural-friendly; includes digital access
Open Up High School Math	Free, CCSS-aligned, with high-level reasoning tasks

Type	Description
Formative Assessments	Weekly or daily practice problems, quizzes, Desmos investigations
Unit Tests	Polynomials, quadratics, exponentials, logs, rational expressions, sequences, probability
Benchmark Testing	Some schools assess mid-year and end-of-year with diagnostics (i-Ready, MAP, state-specific tools)
State Testing	Not all states require Algebra II testing
Some include it in a general Math III or integrated math EOC
Others use SAT/ACT benchmarks

Tool	Purpose
Graphing Calculator (TI-84, Desmos)	Plotting functions, solving equations, visualizing domain/range
Function Machines / Composition Cards	Understanding transformations, compositions, and inverses
Polynomial Tiles / Algebra Tiles	Modeling polynomial operations
Logarithmic Graph Tools	Visualizing exponential decay/growth and inverse relationships
Digital Platforms	Desmos, Khan Academy, DeltaMath, GeoGebra, Freckle, IXL, ALEKS, Mathspace

State	Notes
California	Algebra II is typically taken in Grade 11; SBAC testing ends in Grade 11 with college/career readiness focus
Texas	Algebra II is not required but highly recommended; TSIA2 or SAT/ACT may be used for college placement
Florida	Algebra II is included in the B.E.S.T. pathway; focus on modeling and real-world functions
New York	Algebra II ends with the Algebra II Regents Exam — includes probability, complex numbers, and functions
Illinois	Follows Common Core Algebra II model; state testing may focus on SAT Math readiness

Mastery of function types and their transformations
Solving complex equations: rational, radical, quadratic with complex roots
Inverse functions and composition of functions
Exponential/logarithmic modeling of population, finance, decay
Use of technology to model, solve, and interpret complex equations
Data analysis and statistics with deeper vocabulary (mean, SD, box plots, normal curves)

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