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:

1. 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.

2. Rational Functions:

   • Simplifying, analyzing, and graphing rational functions.

   • Operations with rational expressions.

   • Solving rational equations and understanding asymptotic behavior.

3. 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.

4. Sequences and Series:

   • Investigating arithmetic and geometric sequences and series.

   • Using formulas to find specific terms and sums of sequences.

5. Conic Sections:

   • Analyzing and graphing parabolas, ellipses, hyperbolas, and circles.

   • Understanding the geometric definitions and properties of conic sections.

6. Probability and Statistics:

   • Exploring concepts of probability, including conditional probability and independent events.

   • Analyzing data using statistical measures and understanding distributions.

7. 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.

Algebra 1 Course Summary

By the end of the Algebra 1 course, students will have a solid understanding of fundamental algebraic concepts and skills. This foundational knowledge will prepare them for more advanced math courses and real-world problem-solving. The course covers a variety of topics, including:

1. Linear Equations and Inequalities: Students will learn to solve and graph linear equations and inequalities, understanding their real-life applications.

2. Functions: The course introduces the concept of functions, including how to interpret, analyze, and graph them.

3. Polynomials: Students will explore polynomial expressions, operations, and factorization techniques.

4. Quadratic Equations: The course covers solving quadratic equations through various methods, such as factoring, completing the square, and the quadratic formula.

5. Rational Expressions and Equations: Students will learn to simplify, multiply, divide, add, and subtract rational expressions and solve rational equations.

6. Systems of Equations: The course teaches students how to solve systems of linear equations using graphing, substitution, and elimination methods.

Course Materials:

• Worksheets: The course includes numerous worksheets that provide additional practice problems and exercises, helping students reinforce their understanding of key concepts.

• Videos: Engaging video lessons break down complex topics into easy-to-understand segments, offering visual explanations and step-by-step solutions.

• Online Exams: The course offers a series of online exams that simulate the actual testing experience. These practice tests help students assess their progress, build test-taking skills, and identify areas for improvement.

Certificate of Completion:

Upon successfully finishing the course, students will receive a Certificate of Completion, acknowledging their hard work and mastery of Algebra 1 concepts.

With this well-rounded approach, students will be well-equipped to excel in future math courses and tackle real-world problems with confidence.