Texas Mathematics — Grade 11 (Algebra II)
Comprehensive Course Syllabus
Course Overview
Our Texas Grade 11 Mathematics (Algebra II) course is designed according to the Texas Essential Knowledge and Skills (TEKS) standards. The curriculum builds advanced mathematical skills in functions, polynomial equations, logarithms, exponential models, trigonometry, matrices, probability, statistics, and mathematical modeling while preparing students for Pre-Calculus, AP Calculus, SAT®, ACT®, college mathematics, engineering, and STEM careers.
Students strengthen logical reasoning, analytical thinking, and advanced problem-solving through interactive lessons, real-world applications, and technology-assisted learning.
Advanced Algebra
Polynomial Functions
Students analyze polynomial expressions, perform operations, factor higher-degree polynomials, and solve polynomial equations.
Rational Expressions & Equations
Students simplify rational expressions, solve rational equations, and investigate restrictions on domains.
Complex Numbers
Students perform operations with imaginary and complex numbers while solving quadratic equations with non-real solutions.
Mathematical Modeling
Students represent real-world situations using algebraic models and interpret mathematical results.
Functions
Function Analysis
Students analyze domain, range, intercepts, symmetry, transformations, and compositions of functions.
Inverse Functions
Students determine inverse functions and understand their applications in mathematics and science.
Piecewise Functions
Students evaluate, graph, and interpret piecewise-defined functions used in practical situations.
Function Transformations
Students investigate translations, reflections, stretches, and compressions of graphs.
Exponential & Logarithmic Functions
Exponential Functions
Students model exponential growth and decay in finance, biology, and population studies.
Logarithmic Functions
Students understand logarithms as inverse functions of exponents and solve logarithmic equations.
Applications of Exponential Models
Students solve real-world problems involving compound interest, depreciation, and population growth.
Financial Mathematics
Students apply mathematics to loans, investments, budgeting, annuities, and financial planning.
Trigonometry
Trigonometric Ratios
Students apply sine, cosine, tangent, and reciprocal trigonometric functions to solve mathematical problems.
Unit Circle
Students explore the unit circle and evaluate trigonometric values for special angles.
Trigonometric Graphs
Students graph sine, cosine, and tangent functions while analyzing amplitude, period, and phase shifts.
Trigonometric Applications
Students solve real-world problems involving navigation, engineering, architecture, and physics.
Conic Sections
Circles
Students analyze equations and graphs of circles using coordinate geometry.
Parabolas
Students study quadratic relations and graph parabolic equations.
Ellipses & Hyperbolas
Students investigate conic sections and their applications in astronomy, engineering, and physics.
Coordinate Geometry Applications
Students solve geometric problems using algebraic equations and coordinate systems.
Probability, Statistics & Matrices
Probability
Students solve compound probability, conditional probability, and counting principle problems.
Statistics
Students analyze data using measures of central tendency, standard deviation, regression, and data distributions.
Matrices
Students perform matrix operations and apply matrices to solve systems of equations and real-world problems.
Data Interpretation
Students interpret graphs, statistical models, and datasets to support informed decision-making.
Mathematical Modeling & Technology
Mathematical Modeling
Students develop mathematical models to solve engineering, economics, environmental, and scientific problems.
Technology in Mathematics
Students use graphing technology and mathematical software to visualize functions and analyze data.
Problem Solving Strategies
Students apply multiple mathematical techniques to solve challenging, multi-step problems.
College & Career Readiness
Advanced Mathematical Reasoning
Students strengthen logical reasoning, abstraction, and mathematical communication.
SAT®, ACT® & College Preparation
Students practice advanced algebra, functions, statistics, and problem-solving required for standardized assessments.
STEM Applications
Students apply mathematics to engineering, computer science, finance, artificial intelligence, physics, and data science.
Teaching Methodology
Our Mathematics classes focus on conceptual understanding, analytical reasoning, mathematical modeling, and real-world applications. Students learn through:
Learning Outcomes
By the end of Grade 11, students will be able to:
Assessment & Progress Tracking
Student progress is evaluated through: