The Grade 11 Algebra 2 course in the "Reveal Math" series delves into advanced algebraic concepts, helping students build a strong mathematical foundation. Here's a concise summary:
Key Topics:
Polynomial Functions:
Understanding, analyzing, and graphing polynomial functions.
Operations with polynomials, including addition, subtraction, multiplication, and division.
Theorems related to polynomials, such as the Remainder and Factor Theorem.
Rational Functions:
Simplifying, analyzing, and graphing rational functions.
Operations with rational expressions.
Solving rational equations and understanding asymptotic behavior.
Exponential and Logarithmic Functions:
Exploring the properties and applications of exponential functions.
Understanding logarithms, their properties, and their relationship to exponentials.
Solving exponential and logarithmic equations.
Sequences and Series:
Investigating arithmetic and geometric sequences and series.
Using formulas to find specific terms and sums of sequences.
Conic Sections:
Analyzing and graphing parabolas, ellipses, hyperbolas, and circles.
Understanding the geometric definitions and properties of conic sections.
Probability and Statistics:
Exploring concepts of probability, including conditional probability and independent events.
Analyzing data using statistical measures and understanding distributions.
Trigonometry:
Understanding the unit circle, trigonometric functions, and their properties.
Solving trigonometric equations and applying trigonometry to real-world problems.
Throughout the course, students engage in problem-solving and critical thinking activities, apply algebraic concepts to real-world situations, and use technology to explore and visualize mathematical ideas. The curriculum aims to enhance students' mathematical reasoning and prepare them for higher-level math courses.