# Algebra II Standards Union

Reviewed: August 2026

This course is designed as a broad union rather than a claim of automatic approval in every jurisdiction. Families, schools, and evaluators must verify local course codes, graduation rules, transcript practices, assessment requirements, and accreditation expectations.

## Official frameworks consulted

### Florida B.E.S.T. Mathematics
Florida Department of Education:
- https://www.fldoe.org/academics/standards/subject-areas/math-science/mathematics/
- Florida emphasizes mathematical thinking and reasoning, correct results, financial literacy, real-world context, and connections across topics.

### New York Next Generation Algebra II
New York State Education Department:
- https://www.nysed.gov/standards-instruction/mathematics
- https://www.nysed.gov/state-assessment/algebra-ii
- New York’s Next Generation Algebra II assessment began in June 2026. The course includes educator resources, performance descriptions, and a reference sheet.

### Texas Algebra II TEKS
Texas Education Agency, 19 TAC Chapter 111, §111.40:
- https://legacycms.tea.texas.gov/about-tea/laws-and-rules/texas-administrative-code/19-tac-chapter-111
- Texas identifies Algebra II as a high-school course and includes functions, polynomial and rational structure, systems, sequences, probability/statistics, and modelling expectations.

### Virginia 2023 Algebra 2 Standards of Learning
Virginia Department of Education:
- https://www.doe.virginia.gov/teaching-learning-assessment/instruction/mathematics/standards-of-learning-for-mathematics
- https://www.doe.virginia.gov/teaching-learning-assessment/k-12-standards-instruction/mathematics/2023-sol-instructional-resources
- Virginia’s 2023 resources explicitly include Algebra 2 work with radical equations, variation, inverse functions, permutations and combinations, and an Algebra 2 formula sheet.

### California Mathematics Standards and Framework
California Department of Education:
- https://www.cde.ca.gov/Ci/ma/cf/
- https://www2.cde.ca.gov/cacs/math?c1=2
- California identifies Algebra II course notes, modelling standards, and additional advanced mathematics markers.

### College Board SAT Math Specifications
College Board:
- https://satsuite.collegeboard.org/k12-educators/about/alignment/math
- The SAT emphasizes algebra, advanced mathematics, problem-solving/data analysis, and geometry/trigonometry. Advanced mathematics includes nonlinear, polynomial, rational, radical, exponential, and related equations and functions.

### International Baccalaureate Mathematics
International Baccalaureate:
- https://ibo.org/programmes/diploma-programme/curriculum/mathematics/
- https://ibo.org/university-admission/latest-curriculum-updates/dp-mathematics-analysis-and-approaches-updates/
- The course borrows inquiry practices rather than claiming to be an IB course: problem specification, abstraction, computation, interpretation, validation, mathematical communication, technology use, and exploration.

## Content union implemented

1. Advanced function notation, domain/range, transformations, composition, inverses, and piecewise models
2. Polynomial operations, functions, end behavior, zeros, multiplicity, division, factor and remainder theorems, and regression
3. Complex numbers, conjugates, modulus, complex plane, and complete factorization
4. Rational expressions, equations, functions, asymptotes, holes, variation, and rate models
5. Radical expressions, equations, functions, rational exponents, and inverse relationships
6. Exponential growth/decay, financial mathematics, continuous models, and regression
7. Logarithmic functions, properties, equations, scales, and inverse processes
8. Nonlinear systems, matrices, determinants, inverse matrices, and row reduction
9. Arithmetic and geometric sequences, recursive and explicit forms, finite/infinite series, sigma notation, and binomial theorem
10. Radians, unit circle, trigonometric functions, graphs, transformations, inverse trig, periodic regression, and vectors
11. Trigonometric identities, equations, Law of Sines, Law of Cosines, bearings, and navigation
12. Counting, probability, conditional probability, binomial and normal distributions, sampling, inference, and claim evaluation
13. Ethical mathematical modelling, technology, sensitivity, uncertainty, fairness, oral defense, and revision

## Course strength beyond a minimal Algebra II list

The course deliberately includes a substantial trigonometry and pre-calculus bridge, complex-number completeness, matrix methods, financial mathematics, statistical reasoning, technology documentation, error analysis, applied investigations, and a defended modelling exploration.