Math

Math

Calculus

Calculus is a discipline concerned with analyzing moving objects and the rate at which these objects change over time. Students learn both an appreciation for the enormous power of this subject along with the techniques [i.e. integration and differentiation] necessary to make full use of it in a variety of real-world applications.

Statistics

Statistics are all around us in the modern world. In this class, students learn methods of collecting, organizing, and interpreting data in a way that relates to everyday circumstances. A recent project, for example, examined online map of crime data in the city of San Francisco and how residents and visitors are utilizing this information to their benefit.

Algebra 2 | Pre-Calculus

Algebra 2 Syllabus.doc

Pre-Calculus is the stepping stone to all topics in college-level mathematics. It contains the combinatorics and probability you need to begin the study of Statistics, the function and limit theory you need for Calculus, the trigonometry and vectors necessary for Physics, and the Matrix techniques required for Numerical Analysis. Our class is a combined Algebra 2/Pre-Calculus which utilizes the great overlap between the two classes to allow students to take Calculus and other advanced mathematical topics sooner.

Geometry

Geometry Syllabus.doc

Geometry is the oldest systematized branch of knowledge taught at the high school level. We start at the beginning, with Greek notions of proof and Euclidean geometry, seeing how they grappled with first concepts by actually reading Euclid’s Elements. We then continue into the standard plane and three-dimensional topics, with an equal emphasis on rigorous proof (absolutely essential to anybody contemplating a career in higher mathematics) and computation, before moving on to a study of non-Euclidean geometry that is unique in the country, featuring a study of the hyperbolic geometry of the Poincare Half Plane, and an investigation of how this applies to the physics of Albert Einstein.

Algebra

Algebra or Algebra 1 is the bridge from the concrete fundamental maths to the abstract study of mathematics. Topics includes the manipulation of variable, simplifying expressions, evaluating and solving equations and inequalities, graphing linear and quadratic functions and relations, exponents and radicals, and ratio and proportion.

Pre-Algebra

Pre-Algebra Syllabus.doc

Everything before the study of Algebra is considered Pre-Algebra. Mathematics is the foundation for intelligence and precise thinking. It trains the mind to be analytical. Instructional approach – operations, thinking skills, problem solving, estimation, data, statistics, geometry and probability are emphasized to develop the mathematical content.

Kindergarten

Kindergarten students will understand small numbers, quantities, and simple shapes in their everyday environment. They will count, compare, describe and sort objects, and develop a sense of properties and patterns.

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