Math 10 (Algebra II Standard)
Course Overview
Algebra II Standard is a comprehensive year-long course designed to build upon foundational algebra concepts and extend students’ mathematical understanding. This course prepares students for Precalculus and Statistics, while reinforcing College Board SAT readiness. Students explore polynomial, exponential, rational, radical, and logarithmic functions with an emphasis on problem-solving, modeling, and interpreting real-world applications.
The curriculum is aligned with Florida B.E.S.T. standards and integrates technology tools, data interpretation, and algebraic reasoning. Students enhance their fluency in manipulating expressions, solving equations, analyzing functions, and applying mathematical models to quantitative scenarios.
Learning Outcomes by Quarter
- Quarter 1: Review linear/quadratic functions and expand to polynomial expressions, factoring, and complex roots.
- Quarter 2: Solve rational, radical, and absolute value equations and inequalities with attention to domain and extraneous solutions.
- Quarter 3: Study exponential and logarithmic functions, including inverse relationships and real-world growth/decay modeling.
- Quarter 4: Apply statistical reasoning, sequences/series, and systems of equations in multiple formats.
Instructional Methods
Instruction includes interactive notes, problem-based learning, graphing software (Desmos), and collaborative exploration. Lessons emphasize conceptual understanding, fluency, and application. Practice includes real-time feedback, independent tasks, and structured peer dialogue. Visual tools and technology are used to deepen abstract reasoning.
Assessment and Grading
| Category | Weight |
|---|---|
| Unit Tests & Projects | 40% |
| Quizzes | 25% |
| Homework & Skills Practice | 20% |
| Class Engagement | 10% |
| Portfolio/Reflections | 5% |
Anchor Topics Justification
- Polynomials: Central to algebraic structure, factoring strategies, and solving real-world equations.
- Exponential and Logarithmic Functions: Key for understanding growth/decay, finance, and inverse relationships.
- Rational & Radical Expressions: Build precise manipulation skills and reinforce function domain knowledge.
- Sequences, Series, and Statistics: Connect mathematics to real-life patterns, decision-making, and probability.
College Board – SAT Crosswalk
| College Board Domain | Integrated Skills in Algebra II |
|---|---|
| Heart of Algebra | Strengthens linear, quadratic, and systems problem-solving |
| Problem Solving and Data Analysis | Focus on interpreting functions, applying ratios, and analyzing data |
| Passport to Advanced Math | Introduces higher-level polynomials, radicals, and exponential/logarithmic functions |
| Mathematical Modeling | Applies functions to real-life situations with precision and explanation |
Unit Overview
| Quarter | Unit Title | Florida B.E.S.T. Benchmarks | College Board Focus Skills |
|---|---|---|---|
| Q1 | Polynomial Expressions & Quadratic Review | MA.912.AR.4.1, MA.912.AR.5.1 | Factoring, graphing, complex roots |
| Q2 | Rational, Radical & Absolute Value Equations | MA.912.AR.3.4, MA.912.AR.2.2 | Restrictions, extraneous solutions |
| Q3 | Exponential & Logarithmic Functions | MA.912.F.1.4, MA.912.F.1.5 | Inverse functions, base changes, applications |
| Q4 | Sequences, Series & Statistics | MA.912.DP.1.1, MA.912.AR.3.5 | Growth patterns, central tendency, data modeling |
Academic Vocabulary Matrix
| Category | Key Terms | Contextual Application |
|---|---|---|
| Functions | Domain, Range, Inverse | Applied in exponential/logarithmic units |
| Polynomials | Degree, Root, Multiplicity | Used in graphing and solving strategies |
| Rational Expressions | Excluded Value, Asymptote, Simplify | Explored in solving rational equations |
| Statistics | Mean, Standard Deviation, Normal Distribution | Used in real-world data interpretation |