Math in Upper School 3
Upper School students are able to take the appropriately-challenging math class based on their understanding and skills in math. Math placement is based on a number of factors including demonstrated skills and knowledge, prerequisite experience, and past performance on classes and tests. The following math courses may be offered to Upper School 3 students:
Students delve deeper into foundations of Algebra using Pearson’s Algebra I textbook and The Art of Problem Solving: Introduction to Algebra as core texts. Students develop advanced problem-solving skills, perseverance, and creativity through explorations of progressively complex mathematical concepts.
- Identify arithmetic, geometric, and exponential patterns.
- Graph linear and quadratic equations and inequalities, and absolute value functions.
- Factor polynomials, exponentials, logarithms, and other functions.
- Analyze complex numbers.
- Solve one-variable equations and linear systems with multiple variables.
Students focus on geometry, trigonometry, and advanced topics in Algebra. Using The Art of Problem Solving: Introduction to Geometry as a core text, students continue to utilize advanced problem-solving skills, perseverance, and creativity through projects and explorations of mathematical topics. This integrated “hands-on” course enables students to explore design-thinking and STEM-based projects and ideas into their learning.
- Explore the geometric definitions of and derive equations for the conic sections.
- Explore and use the characteristics and properties of triangles, quadrilaterals and circles to solve problems.
- Find the area of composite shapes.
- Explore different types of formal proof. Use deductive reasoning to construct proofs.
- Build on an understanding of 2-dimensional geometry to expand problem solve to figures in 3 dimensions.
- Explore trigonometry, including right triangle trigonometry and the law of sines and cosines