Math 10 (Algebra II Honors)

Course Overview

Algebra II Honors is an accelerated and enriched mathematics course that extends foundational algebra into advanced concepts in preparation for Precalculus, AP Calculus, and AP Statistics. This course builds deep conceptual understanding of functions, algebraic structures, and mathematical modeling. Students engage in intensive reasoning, multi-step problem solving, and real-world applications aligned with Florida B.E.S.T. benchmarks and College Board SAT/PSAT domains.

Honors students apply critical thinking to explore polynomial, rational, exponential, logarithmic, and radical functions, as well as sequences, series, complex numbers, and advanced data analysis. The course emphasizes algebraic fluency, function transformations, and conceptual abstraction, preparing students for higher mathematics and STEM pathways.

Learning Outcomes by Quarter

• Quarter 1: Extend polynomial operations, solve higher-degree equations, and analyze complex roots graphically and algebraically.
• Quarter 2: Master rational, radical, and absolute value functions with constraints, discontinuities, and domain analysis.
• Quarter 3: Investigate inverse functions, exponentials, and logarithms, including base changes and real-world exponential modeling.
• Quarter 4: Synthesize knowledge through systems of nonlinear equations, sequences/series, data modeling, and advanced SAT-aligned tasks.

Instructional Methods

This course uses honors-level pedagogies including project-based inquiry, graphing and symbolic exploration, SAT/PSAT prep modules, digital simulations, and group investigations. Instruction emphasizes advanced justifications, modeling multiple representations, and abstract reasoning. Frequent feedback supports deep learning and independence.

Assessment and Grading

Category	Weight
Unit Exams & Major Projects	40%
Quizzes & Concept Checks	25%
Homework & Mathematical Writing	15%
Participation & Collaboration	10%
Enrichment/Challenge Tasks	10%

Anchor Topics Justification

• Polynomial & Rational Functions: Strengthens structure, domain, asymptotic behavior, and function graphing.
• Logarithmic and Exponential Analysis: Critical for STEM modeling, scientific notation, and real-world decay/growth problems.
• Complex Numbers & Nonlinear Systems: Supports deeper algebraic understanding and prepares for Precalculus and physics.
• Sequences, Series, and Statistics: Links algebraic reasoning with data science, finance, and algorithmic design.

College Board – SAT Crosswalk

College Board Domain	Integrated Skills in Algebra II Honors
Heart of Algebra	Multi-step equations, inequalities, and modeling linear systems
Problem Solving and Data Analysis	Advanced graph interpretation, statistical models, data sets
Passport to Advanced Math	Polynomials, functions, radicals, logarithmic manipulation
Modeling & Reasoning	Quantitative modeling, function comparisons, symbolic fluency

Unit Overview

Quarter	Unit Title	Florida B.E.S.T. Benchmarks	College Board Focus Skills
Q1	Advanced Polynomials & Complex Roots	MA.912.AR.4.1, MA.912.NSO.1.1	Factoring, end behavior, imaginary solutions
Q2	Rational, Absolute Value & Radical Functions	MA.912.AR.3.4, MA.912.AR.2.2	Asymptotes, transformations, domain analysis
Q3	Exponentials, Logarithms & Inverse Functions	MA.912.F.1.4, MA.912.F.1.5	Inverse relationships, base changes, function shifts
Q4	Sequences, Series, Systems & Data Models	MA.912.DP.1.1, MA.912.AR.3.5	Recursive patterns, statistical trends, system solving

Academic Vocabulary Matrix

Category	Key Terms	Contextual Application
Polynomial Structures	Multiplicity, Turning Point, Conjugate Root	Used in graphing and factorization of functions
Rational & Logarithmic Analysis	Vertical Asymptote, Base Change, Extraneous Solution	Applied in real-world function modeling
Advanced Functions	Inverse, Composition, Transformation	Used in layered function modeling
Data & Sequences	Geometric Series, Recursive Rule, Residual	Used in analysis of trends and functional modeling