This course is the foundation for high school mathematics courses. It is the bridge from the concrete to the abstract study of mathematics. The main goal of Algebra is to develop fluency in working with linear equations and provide a formal development of the algebraic skills and concepts necessary for students to succeed in a wide range of advanced math and science courses. Students will extend their experiences with tables, graphs, and equations and solve linear equations, inequalities, and systems of linear equations and inequalities, as well as begin the process of working with polynomials and quadratic relationships. Algebra 1 students will extend their knowledge of the number system to include irrational numbers and generate equivalent expressions and use formulas.
Topics and concepts explored: Equations, Inequalities, Functions, Linear Functions, Systems of Equations and Inequalities, Exponents and Polynomials, Quadratic Functions and Equations, Exponential and Radical Functions, and Data Analysis and Probability.
A primary goal of Algebra 2 is for students to conceptualize, analyze, and identify relationships among functions. In this course, the basic concepts from Algebra 2 are enriched. Topics include equations and inequalities, linear equations, linear systems and matrices, quadratic functions and factoring, polynomials, exponential and logarithmic functions, rational and radical functions, functional relationships and their graphs, conic sections, counting methods and probability, data analysis and statistics, sequences and series, trigonometric ratios and functions, graphs, and identities. This course also ties together many of the ideas from arithmetic and geometry.
Topics and concepts explored: Foundations for Functions, Quadratic Functions, Polynomial Functions, Exponential and Logarithmic Functions, Rational and Radical Functions, Properties and Attributes of Functions, Probability, Data Analysis and Statistics, Sequences and Series, Trigonometric Functions, Trigonometric Graphs and Identities, and Conic Sections.
代数II 的目的是让 学生加强函数的概念，以及分析和识别函数之间的关系. 课程内容包括：方程和不等式，线性方程，线性系统和矩阵，二次函数和理，多项式，指数和对数函数，有理和自由基的功能，功能关系和它们的曲线图，圆锥截面，计数方法和概率，数据分析和统计，序列和系列，三角比和功能，图形和身份。课程也复习以前学过的算术和几何知识。
The Precalculus course is designed for students who want to prepare for Calculus. However, the standard Pre-Calculus course is not just a preparation course for calculus. It stands alone as “real mathematics,” and is designed to model real-world scenarios. Topics include trigonometry, vectors, two-variable and multivariable systems of equations and inequalities, matrices, sequences, series, probability, analytic geometry, limits, differentiation and anti-differentiation. This course will help students master everything from sets and functions to derivatives and integrals.
Topics and concepts explored: Functions and Their Graphs, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometry, and Analytic Trigonometry.
Geometry introduces the study of points, segments, triangles, polygons, circles, solid figures, and their associated relationships as a mathematical system. Within this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. Geometry is meant to employ an integrated approach to the study of geometric relationships; integrating synthetic, transformational, and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric figures. Students will extend their preexisting experiences with algebra and geometry to trigonometry, coordinate geometry, and probability. The main goal of the Geometry course is for students to develop a Euclidean geometric structure and apply the resulting theorems and formulas to address meaningful problems. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics and something that sets it apart from the other sciences. Students will apply basic facts about points, lines, planes, segments and angles.
Topics and concepts explored: Foundations for Geometry, Geometric Reasoning, Parallel and Perpendicular Lines, Triangle Congruence, Properties and Attributes of Triangles, Polygons and Quadrilaterals, Similarity, Right Triangles and Trigonometry, Extending Transformational Geometry, Geometric Formulas, and Circles.