MATHEMATICS

Required Courses

Algebra 1 (1200310 – 1.0 credit)

Grade Level: 9

Course Description:

This introductory algebra course provides the foundation for more advanced mathematics. It develops the algebraic concepts and processes used to solve a variety of real-world and mathematical problems.

Prerequisite: None.

Geometry (1206310 – 1.0 credit)

Grade Level: 9-10

Course Description:

The fundamental purpose of this course is to formalize and extend students’ geometric experiences from the middle school grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving toward formal, mathematical arguments. Prerequisite: Completion of Algebra 1.

Geometry Honors (1206320 – 1.0 credit)

Grade Level: 9-10

Course Description:

The fundamental purpose of this course is to formalize and extend students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving toward formal, mathematical arguments. Honors provides a more rigorous, in-depth, and faster-paced study of the topics and concepts in Algebra 2 with the inclusion of trigonometry.

Prerequisite: Students must have earned an A- or better in Algebra 1 or B- or better in Algebra 1 Honors.

Algebra 2 (1200330 – 1.0 credit)

Grade Level: 10-11

Course Description:

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions and continue to expand their abilities to model situations and to solve equations. This includes solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Prerequisite: Completion of Algebra 1 and Geometry.

Algebra 2 Honors (1200340 – 1.0 credit)

Grade Level: 9-11

Course Description:

An intense study of polynomial, rational, radical, exponential, and logarithmic functions along with an introduction to sequences & series and trigonometry. The application of these functions to model real-world situations is emphasized. Prerequisite: Students must have earned an A- or better in Algebra 1 and Geometry or B- or better in Algebra 1 Honors and Geometry Honors.

Math Electives

Mathematics for College Algebra (1200710 – 1.0 credit)

Grade Level: 11-12

Course Description:

Instructional time will emphasize five areas: (1) developing fluency with the Laws of Exponents with numerical and algebraic expressions; (2) extending arithmetic operations with algebraic expressions to include rational and polynomial expressions; (3) solving one-variable exponential, logarithmic, radical and rational equations and interpreting the viability of solutions in real-world contexts; (4) modeling with and applying linear, quadratic, absolute value, exponential, logarithmic and piecewise functions and systems of linear equations and inequalities; (5) extending knowledge of functions to include inverse and composition.

Prerequisite: Completion of Geometry and Algebra 2.

Pre-Calculus (1200310 – 1.0 credit)

Grade Level: 10-12

Course Description:

This course revisits algebraic concepts from Algebra 2 that students have struggled to master while introducing the students to the foundations of trigonometry and probability and statistics. First semester work will focus on studying functions of many types: linear, quadratic, exponential, logarithmic, polynomial, rational and radical. Second semester will focus on sequences and series, trigonometry, and probability and statistics applications in real-world scenarios. Prerequisite: Students must have earned a C or better in Algebra 2.

Pre-Calculus Honors (1202340 – 1.0 credit)

Grade Level: 10-12

Course Description:

This rigorous course develops concepts and skills in advanced algebra, analytic geometry, and trigonometry in preparation for calculus. The course is concept-driven and examines the concepts analytically, numerically, and graphically. Students are expected to take the national AP exam. Prerequisite: Students must have earned a B- or better in Algebra 2 Honors.

Advanced Placement Pre-Calculus (APPRECAL – 1.0 credit)

Grade Level: 10-12

Course Description:

In this course, students acquire and apply mathematical tools in real-world modeling situations in preparation for using these tools in college-level calculus. Modeling, a central instructional theme for the course, helps students come to a deeper understanding of each function type. By examining scenarios, conditions, and data sets, as well as determining and validating an appropriate function model, students develop a greater comprehension of the nature and behavior of the function itself. The formal study of a function type through multiple representations (e.g., graphical, numerical, verbal, analytical), coupled with the application of the function type to a variety of contexts, provides students with a rich study of precalculus. Students are expected to take the national AP exam. Prerequisite: Students must have earned a A- or better in Algebra 2 Honors.

Calculus Honors (1202300 – 1.0 credit)

Grade Level: 11-12

Course Description:

This course deepens students’ understanding of the algebraic, exponential, logarithmic, and trigonometric functions of Pre-Calculus. The skills and concepts studied include limits, derivatives, antiderivatives, integration, and area. Students are introduced to the techniques of differential and integral calculus and are expected to demonstrate mastery. Prerequisite: Students must have earned a B- or better in Pre-Calculus Honors.

Advanced Placement Calculus AB (1202310 – 1.0 credit)

Grade Level: 11-12

Course Description:

This intense course develops algebraic and transcendental functions and the general theory and techniques of calculus. Concepts are explored graphically, numerically, analytically, and verbally. The skills and concepts of limits, derivatives, and integrals for polynomial, rational, radical, exponential, logarithmic, and trigonometric functions are studied throughout the course. Applications include the existence theorems, optimization, related rates, exponential growth and decay, the fundamental theorem of calculus, differential equations, area, and volume. Content is specified by the College Board Advanced Placement Program. Students are expected to take the national AP exam. Prerequisite: Students must have earned a B+ or better in Pre-Calculus Honors.

Advanced Placement Calculus BC (1202320 – 1.0 credit)

Grade Level: 12

Course Description:

This course is an extension of Calculus AB. It reviews differential and integral calculus studied in Calculus AB and builds upon those concepts through higher-order thinking. Additional topics include advanced integration, lengths of curves, sequences, relative rates of growth, improper integrals, Taylor series, Maclaurin series, series tests, as well as parametric, vector, and polar functions. Content is specified by the College Board Advanced Placement Program. Students are expected to take the national AP exam. Prerequisite: Completion of Calculus AB.

Mathematics for College Statistics (1210305 – 1.0 credit)

Grade Level: 11–12

Course Description:

In this course instructional time will emphasize four areas: (1) analyzing and applying linear and exponential functions within the context of statistics; (2) extending understanding of probability using data and various representations, including two-way tables and Venn Diagrams; (3) representing and interpreting univariate and bivariate categorical and numerical data and (4) determining the appropriateness of different types of statistical studies. Prerequisite: Students must have earned a B+ or better in Pre-Calculus Honors or be enrolled in Pre-Calculus Honors and have earned an A- or better in Algebra 2 Honors.

Advanced Placement Statistics (1210320 – 1.0 credit)

Grade Level: 10-12

Course Description:

This demanding course helps students develop an understanding of statistical methods. Students explore data, plan a study/experiment, investigate theoretical probability, and draw conclusions (inference) based on probability. Content is specified by the College Board Advanced Placement Program. Students are expected to take the national AP exam. Prerequisite: Students must be enrolled in Pre-Calculus Honors or have earned a B+ or better in Pre-Calculus Honors, or an A- or better in Algebra 2 Honors.