Honors Algebra 2: Series, Trigonometry, and Probability

Honors Algebra 2: Sequences, Series, Trigonometry, & Probability is the fourth part of a four-part specialization, an engaging, application-focused course that explores how algebra connects to patterns, prediction, and data-driven decision-making. Designed for high school students, college-prep learners, and adult learners refreshing their skills, this course is aligned with the Common Core State Standards and is ideal for independent study through Coursera. You’ll begin by analyzing sequences and series, uncovering the structure of arithmetic and geometric patterns and using them to model real-world phenomena like interest growth and population trends. The course then transitions to trigonometry, starting with the fundamental relationships in right triangles. You will master the core trigonometric ratios of sine, cosine, and tangent and their reciprocals. Building on this foundation, you’ll explore key trigonometric identities and use them to simplify complex expressions and solve equations. This understanding culminates in exploring trigonometric functions on the unit circle, revealing them as powerful tools for describing periodic behavior—essential in science, engineering, and even music and design. From there, you’ll shift into introductory probability and statistics, learning how to quantify uncertainty, interpret two-way tables, and distinguish between theoretical and experimental results. In the data analysis portion, you’ll evaluate datasets, calculate measures of central tendency and variability, and draw informed conclusions—skills essential in today’s data-driven world. Whether you're interested in STEM, business, or simply making sense of the information around you, this course provides a deep yet accessible look at how algebra helps you describe, analyze, and predict the world around you. With interactive learning and a clear, concept-driven approach, you'll build a strong foundation for future math courses and practical applications alike.