Course Descriptions

02052 ALGEBRA I (5 Credits)

Prerequisite: MATH 6, 7, or 8

Grades: 7, 8, 9, 10, 11, 12 (G, H) Full Year Course

The Algebra I course includes a rigorous academic core by extending what students learned in the introductory mathematics courses in the middle grades to more advanced topics of study. These advanced topics include understanding properties and operations of the real number system, evaluating rational algebraic expressions, solving, graphing, and writing linear equations and inequalities, as well as quadratic and exponential equations, solving systems of linear-linear equations and linearquadratic equations, operations with, and factoring of, polynomials; understanding, interpreting, analyzing, and building linear, exponential, quadratic, absolute value, step, and piecewise functions, as well as arithmetic and geometric sequences; and interpreting categorical and quantitative data. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.

02994 MATH PROFICIENCY DEVELOPMENT/ALGEBRA I LAB (5 Credits)

Co-Requisite: ALGEBRA I

Grades: 7, 8, 9, 10, 11, 12 (G, H) Full Year Course

The Mathematics Proficiency Development course is designed to assist students in acquiring the skills necessary to pass proficiency standardized and related course examinations. In this course, students are expected to master skills, which are applied to real-life situations. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.

02072 GEOMETRY (5 Credits)

Prerequisite: ALGEBRA I

Grades: 8, 9, 10, 11, 12 (G, H) Full Year Course

This course, having a rigorous academic core, formalizes what students have previously learned about geometry in middle grades and focuses on mathematical reasoning. Students will engage in mathematical reasoning by experimenting with transformations in a plane, understanding congruence in rigid motion, proving geometric theorems, and making geometric constructions. The course will also include topics such as understanding similarities in transformations, defining trigonometric ratios, solving problems involving right triangles, and applying trigonometry to general triangles. Moving on to other shapes, students will understand and apply theorems about circles, arc lengths, sectors, and conic sections, derive and explain volume formulas, and visualize the relation between two- dimensional and three-dimensional objects. The course closes with a study of the rules of probability and conditional probability to interpret data, make decisions, and weigh/evaluate outcomes of decisions. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self- esteem.

02994 MATH PROFICIENCY DEVELOPMENT/GEOMETRY LAB (5 Credits)

Co-Requisite: GEOMETRY

Grades: 8, 9, 10, 11, 12 (G, H) Full Year Course

02056 ALGEBRA II (5 Credits)

Prerequisite: GEOMETRY

Grades: 9, 10, 11, 12 (G, H) Full Year Course

The Algebra II course includes a rigorous academic core by extending what students have learned in the Algebra I course to more advanced topics of math study. These advanced topics include performing arithmetic operations on complex numbers and polynomials, interpreting and writing expressions in equivalent forms, including rational expressions, understanding the relationship between zeros and factors of polynomials, using polynomial identities to solve problems, creating linear, quadratic, exponential, and root functions, solving systems of linear equations, and graphing radical and rational equations.

Students will also interpret functions in context, analyze functions using different representations, and build and compare linear, quadratic, radical, rational, exponential, and logarithmic functions.

Topics from Geometry courses previously learned in the middle grades will be formalized and extended in this course to include understanding trigonometric functions of the unit circle, modeling periodic phenomena, and proving and applying trigonometric identities. The course closes with the study of interpreting categorical and quantitative data, making inferences and justifying conclusions using data, and using the rules of probability to make decisions. The laws of sine and cosine by using a right triangle will be considered as well. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.

02994 MATH PROFICIENCY DEVELOPMENT/ALGEBRA II LAB (5 Credits)

Co-Requisite: ALGEBRA II

Grades: 9, 10, 11, 12 (G, H) Full Year Course

02110 PRE-CALCULUS (5 Credits)

Prerequisite: ALGEBRA II

Grades: 10, 11, 12 (G, H) Full Year Course

The Pre-Calculus course combines the study of trigonometry, elementary functions, analytic geometry, and math analysis topics as preparation for Calculus and AP Calculus. Topics include the study of complex numbers, polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs. It also includes the study of trigonometric identities and equations, solutions of right and oblique triangles, vectors, the polar coordinate system, conic sections, Boolean algebra, symbolic logic, mathematical induction, matrix algebra, sequences and series, and limits and continuity. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.

02121 CALCULUS (5 Credits)

Prerequisite: ALGEBRA II

Grades: 11, 12 (G, H) Full Year Course

The Calculus course includes the study of limits, continuity, first and second derivatives, applications of derivatives (related rates, curve-sketching, optimization), differentiation, integration, definite and indefinite integrals, and applications of integrals (volumes, accumulation of change, differential equations). This course provides a road map for differential equations. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self- esteem.

02121 AP CALCULUS AB (5 Credits)

Prerequisite: CALCULUS OR MULTIPLE MEASURES

Grades: 11, 12 Full Year Course

Following the College Board’s suggested curriculum designed to parallel college- level calculus courses, students will analyze graphs, understand limits of functions, including one-sided limits, describe asymptotic and unbounded behavior, comprehend continuity as a property of functions, understand derivatives as concept, a point and a function, understand second derivatives, applications of derivatives, and computation of derivatives, understand, interpret, and apply properties of definite integrals, understand and use the Fundamental Theorem of Calculus, use techniques of anti-differentiation, and understand numerical approximations to definite integrals. In this course, students may earn credits for colleges and universities. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.

02203 AP STATISTICS (5 Credits)

Prerequisite: ALGEBRA II

Grades: 10, 11, 12 Full Year Course

Following the College Board’s suggested curriculum designed to parallel college- level statistics courses, students will construct, interpret, summarize, and compare graphical displays of univariate data, explore bivariate and categorical data, plan and conduct surveys and experiments, generalize results and conclusions drawn from studies, experiments, and surveys, explore random phenomena using probability and simulation, combine independent random variables, explore normal and sampling distributions, estimate population parameters, test hypotheses, and explore tests of significance. In this course, students may earn credits for colleges and universities. Students will also learn and practice strategies/techniques to help them improve their attention span, attitude, and self-esteem.