In Algebra 1, students build on the descriptive statistics, expressions and equations, and functions work first encountered in the middle grades while using more formal reasoning and precise language as they think deeper about the mathematics. Students add to the statistical work from the middle grades by working with standard deviation, describing statistical distributions more precisely, and measuring goodness-of-fit with residuals and the correlation coefficient. Students further their work with linear equations and inequalities as they transition from representations tied to tangible objects to working with abstract expressions. Students develop their abilities to see structure in expressions to show that expressions involving several operations are equivalent (for example, grasping that “substitution” works at various levels of complexity), and they solve linear and quadratic equations by writing a series of equivalent statements, justifying each step. Students formalize their concept of function and encounter exponential and quadratic functions as well as other examples of non-linear functions. A function that arises from a real context requires students to attend to an appropriate domain and to the meaning of various features of the function in the context. As they explore various functions, students should also leverage the power of making connections between graphical, tabular, symbolic, and contextual representations.

This is the first part in a multi-part sequence of Algebra 1. In Algebra 1, students build on the descriptive statistics, expressions and equations, and functions work first encountered in the middle grades while using more formal reasoning and precise language as they think deeper about the mathematics. Students add to the statistical work from the middle grades by working with standard deviation, describing statistical distributions more precisely, and measuring goodness-of-fit with residuals and the correlation coefficient. Students further their work with linear equations and inequalities as they transition from representations tied to tangible objects to working with abstract expressions. Students develop their abilities to see structure in expressions to show that expressions involving several operations are equivalent (for example, grasping that “substitution” works at various levels of complexity), and they solve linear and quadratic equations by writing a series of equivalent statements, justifying each step. Students formalize their concept of function and encounter exponential and quadratic functions as well as other examples of non-linear functions. A function that arises from a real context requires students to attend to an appropriate domain and to the meaning of various features of the function in the context. As they explore various functions, students should also leverage the power of making connections between graphical, tabular, symbolic, and contextual representations.

This is the second part in a multi-part sequence of Algebra 1. This course generally covers the same topics as the second semester of Algebra I, including systems of equations and inequalities, exponential functions, polynomials and factoring, quadratic functions, and if time allows radicals.

Algebra II is a course that includes topics of field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents. Review topics: operations involving real numbers, evaluating rational algebraic expressions, solving and graphing first-degree equations and inequalities, operations with and factoring of polynomials, and solving simple quadratics.

Enhancement topics: the complex number system; polynomial, logarithmic and exponential functions, relations, and their graphs; conic sections; elementary probability and statistics; matrices and determinants; sequences and series.

Foundations of Upper Level Math introduces main concepts from Geometry, Trigonometry, Algebra 2, and Probability. This class is not a substitute for any of these classes, it just helps prepare a student for taking these classes in the future. Geometry topics include the Segment & Angle Addition Postulate, classifying angles, angle relationships, triangle properties and theorems, triangle relationships, Pythagorean Theorem, quadrilaterals and polygons, and arcs and central angles. Trigonometry topics include degree angles, reference angles, radian angles, trigonometric ratios, right triangles, graphing the sine function, Law of Sines, Law of Cosines, and area of triangles. Algebra 2 includes simplifying radicals and complex numbers, solving equations with complex answers, completing squares, Quadratic Formula, and graphing quadratic equations. Probability topics include sample spaces, independent and dependent probability, permutations, and combinations.

This is the first part in a multi-part sequence of Algebra 1 that focuses on completing problems based on examples and practicing those skills. Students are encouraged to take Algebra Part 1 instead, where students work in groups to develop and understand algebraic skills through realistic situations. Topics in General Applied Math I include solving equations and inequalities, linear equations, linear functions, and systems of linear equations and inequalities.

This is the second part in a multi-part sequence of Algebra 1. Students must successfully complete General Applied Math I before taking this class. Topics include piecewise functions, exponents and exponential functions, polynomials and factoring, quadratic functions, and solving quadratic functions.

Geometry is a course that emphasizes an abstract, formal approach to the study of geometry, including topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; rules of congruence, similarity, parallelism, and perpendicularity; and rules of angle measurement in triangles, including trigonometry, coordinate geometry, and transformational geometry.

Review topics: basic measurement, perimeter, area, and volume, and inductive methods of reasoning. Enhancement topics: topology, locus, and non-Euclidean geometries.

Pre-Calculus is an upper level math course designed to prepare the student for the rigors of calculus. It is recommended for any college-bound student interested in math or science, including degrees in the medical fields, business, and engineering. Topics covered include solving second-degree and higher equations and inequalities, maximums and minimums, functions, relations, coordinate geometry proofs, logarithms, conic sections, complex numbers, polar graphing, sequences and series, and an introduction to limits and derivatives used in Calculus.

This is a non-traditional look at solving problems. Techniques used range from drawing diagrams, making systematic lists, eliminating possibilities, matrix logic, patterns, guess and check, sub problems, unit analysis, models and manipulations, working backward, Venn diagrams, algebraic equations, and finite differences. This course is intended as a supplement to the core math courses, with an obvious focus on solving “real-world” problems.

Statistics is a class, which studies the collection and analysis of data. It is recommended to students whose goals include a bachelor’s degree or higher. Any area of study that involves any type of surveying or data collecting will benefit from this class, especially anyone interested in business, education, the biological sciences, and the actuarial sciences. Concepts taught include gathering data, ways to describe the data (both honest and misleading), and analyzing the data. We also cover probability, variances, sampling and chi-square distribution. The problems used in this text are taken from real-life situations and demonstrate the many applications of this science.

Trigonometry is an upper level math course that studies the basic ratios of right triangles. It is useful in many physics applications and is recommended to any student who will be using math or science, particularly those interested in engineering and the physical sciences. Concepts taught include the basic sine, cosine, and tangent functions and their applications and graphs. Vectors and complex numbers are discussed and three-dimensional and polar graphing are covered. Prerequisites are at least Algebra II and Geometry. (Grades 10-12—primarily grades 11 & 12)