Math Curriculum: Grades 10-12
The Upper School Math curriculum at Philo Classical Academy builds on a strong foundation from Singapore Math (K-7) and earlier Art of Problem Solving courses (8th-9th grades), guiding students through a rigorous progression of mathematical skills and reasoning. In 10th grade, students deepen their algebraic understanding with advanced concepts, preparing for more abstract thinking. The 11th-grade course expands into trigonometry, exploring the relationships and applications of triangles and angles in a classical context. By 12th grade, students synthesize their knowledge in precalculus, equipping them with the tools for college-level mathematics and fostering a comprehensive understanding of mathematical principles.
10th Grade: Art of Problem Solving Intermediate Algebra
Students engage with *Intermediate Algebra* by Art of Problem Solving, building on foundational algebra from 8th grade. This course delves into advanced topics such as polynomials, quadratic equations, functions, logarithms, and complex numbers. Through challenging problem sets, students develop critical thinking and problem-solving skills, preparing them for higher-level math while fostering a deeper understanding of algebraic structures and their applications.
11th Grade: Trigonometry by S.L. Loney
Students study trigonometry using *Plane Trigonometry* by S.L. Loney, a classical text that offers a rigorous approach to the subject. The course covers trigonometric functions, identities, equations, and their applications in geometry and physics. Loney’s text emphasizes proofs and practical applications, helping students explore the relationships between angles and sides of triangles while building a strong foundation for advanced mathematical studies.
12th Grade: Stewart’s Precalculus
In their final year, students use *Precalculus: Mathematics for Calculus* by James Stewart to synthesize and expand on previous coursework. This course covers functions, trigonometry, systems of equations, sequences, and conic sections, while introducing foundational calculus concepts like limits. Stewart’s text emphasizes real-world applications and graphical interpretations, equipping students with the skills needed for college-level calculus and fostering a comprehensive understanding of precalculus mathematics.
Note: For students seeking to advance further, additional mathematics and calculus options are available through edX’s Calculus Applied! by HarvardX.