Course Overview

Algebra 2 A challenges students to extend their algebraic knowledge while developing into confident, flexible mathematical thinkers. Rather than focusing solely on procedures, the course emphasizes deep conceptual understanding, precise reasoning, and real-world applications. Students are guided to see mathematics as a connected discipline that supports problem solving, critical thinking, and 21st-century skills.

Key Learning Focus

Students will:

• Develop fluency in working with polynomials and polynomial functions.
• Explore graphs of polynomial functions and their characteristics.
• Simplify and solve rational expressions and equations.
• Gain familiarity with complex numbers and their operations.
• Apply the fundamentals of trigonometry to real-world and mathematical contexts.
• Investigate periodic functions and their properties.
• Strengthen understanding of exponents and radicals.

Instructional Approach

Instruction combines conceptual development and procedural practice through interactive lessons, peer-model demonstrations, and visual representations that bridge abstract and concrete thinking. Students use mathematical discussion, critical reading, and constructive critique to refine their reasoning. Lessons are aligned with the Standards for Mathematical Practice, ensuring connections across concepts and fostering habits of mind necessary for advanced study and professional application.

Outcome

By the end of Algebra 2 A, students will:

• Demonstrate proficiency with polynomials, rational expressions, and complex numbers.
• Apply trigonometric and periodic functions to problem solving.
• Strengthen precision and clarity in mathematical communication.
• Connect algebraic concepts to real-world applications and interdisciplinary contexts.
• Approach mathematics with resilience, recognizing mistakes as opportunities for deeper learning.
• Be prepared for Algebra 2 B and advanced coursework in mathematics.