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# Math

## Math

**Pre-Calculus – S1 & S2**

**Course Code:** OMT041/241**State Code:** 02110**Grades:** 12th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** ALG1, GEO, ALG2**Graduation Requirement:** ALG/GEO/ALG2/GE**Course Designation:** CADR, online**Description:** Designed to follow Algebra II, this rigorous full-year course builds upon students’ understanding of various aspects of functions: graphing, composition, inverses, modeling, systems, and inequalities. Students expand their knowledge of trigonometric functions to include graphs of reciprocal functions, and they apply trigonometry to a variety of real-world problems. Students prove trigonometric identities and use them to solve equations. Throughout the course students make connections between Geometry and Algebra as they use graphs to solve polynomial, rational, exponential, and logarithmic inequalities; perform operations with complex numbers and vectors; use coordinate Algebra to derive equations of ellipses and hyperbolas; and find limits of functions. The standards of mathematical practice are embedded throughout the course as students apply mathematical concepts in modeling situations, make sense of problem situations, solve novel problems, reason abstractly, and think critically.

**AP Calculus AB – S1 & S2**

**Course Code:** OMT043/243**State Code:** 02124**Grades:** 11th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** Approval needed**Graduation Requirement:** ALG/ALG2/GEO/GE**Course Designation:** Online**Description:** AP® Calculus AB is a yearlong, college-level course designed to prepare students for the Advanced Placement (AP) Calculus AB exam. Major topics of study in this full-year course include a review of precalculus; the use of limits, derivatives, definite integrals, and mathematical modeling of differential equations; and the applications of these concepts. Emphasis is placed on the use of technology to solve problems and draw conclusions. The course uses a multi-representative approach to calculus, with concepts and problems expressed numerically, graphically, verbally, and analytically. This course is aligned to the new College Board AP Calculus AB course description that was introduced in 2016.

**AP Calculus BC – S1 & S2**

**Course Code:** OMT042/242**State Code:** 02125**Grades:** 11th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** Approval needed**Graduation Requirement:** ALG/ALG2/GEO/GE**Course Designation:** Online**Description:** Explore the key concepts, methods, and applications of single-variable calculus including all topics covered in AP Calculus AB (functions, graphs, and limits, derivatives, integrals, and the Fundamental Theorem of Calculus) as well as additional topics in differential and integral calculus, such as parametric, polar and vector functions, and series.

**Algebra I – S1 & S2**

**Course Code:** MTH004/MTH204**State Code:** 02052**Grades:** 9-12th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** Approval needed**Graduation Requirement:** ALG/GE**Course Designation:** Online**Description:** The main emphasis of this course includes writing and problem solving linear and quadratic equations, understanding basic terminology and definitions, learning the four basic operations with polynomials, factoring, applying skills, graphing linear equations, and solving systems of equations.

**Honors Algebra 1 – S1 & S2**

**Course Code:** OMT005/205**State Code:** 02052**Grades:** 9th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** Approval needed**Graduation Requirement:** ALG1/GE**Course Designation:** Honors, Online**Description:** This full-year course focuses on five critical areas: relationships between quantities and reasoning with equations, linear and exponential relationships, descriptive statistics, expressions and equations, and quadratic functions and modeling. This course builds on the foundation set in middle grades by deepening students’ understanding of linear and exponential functions, and developing fluency in writing and solving one-variable equations and inequalities. Students will interpret, analyze, compare, and contrast functions that are represented numerically, tabularly, graphically, and algebraically. Quantitative reasoning is a common thread throughout the course as students learn how they can use algebra to represent quantities and the relationships among those quantities in a variety of ways. Standards of mathematical practice and process are embedded throughout the course, as students make sense of problem situations, solve novel problems, reason abstractly, and think critically.

**Algebra II – S1 & S2**

**Course Code:** OMT008/208**State Code:** 02056**Grades:** 9th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** ALG1, GEO**Graduation Requirement:** ALG2/GE**Course Designation:** Online**Description:** This course focuses on functions, polynomials, periodic phenomena, and collecting and analyzing data. Students begin with a review of linear and quadratic functions, to solidify a foundation for learning these new functions. Students will make connections between verbal, numeric, algebraic, and graphical representations of functions and apply this knowledge as they create equations and inequalities that can be used to model and solve mathematical and real-world problems. As students refine and expand their algebraic skills, they will draw analogies between the operations and field properties of real numbers and those of complex numbers and algebraic expressions. Process standards are embedded throughout the course, as students solve novel problems, reason abstractly, and think critically.

Honors Algebra II – S1 & S2

**Course Code:** OMT048 /248**State Code:** 02056**Grades:** 9-12th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** ALG1, GEO**Graduation Requirement:** ALG2/ALG1/GE**Course Designation:** CADR, Honors, Online**Description:** Instruction will include polynomial operations, solving linear and radical equations, factoring, imaginary numbers, advanced abstract equations, nonlinear equations, logarithms and logarithmic equations. Practical application of the Math concepts will be discussed with the goal to prepare students for advanced study in Mathematics.

**Concepts in Probability & Statistics – S1 & S2**

**Course Code:** OMT035/235**State Code:** 02201**Grades:** 11th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** None**Graduation Requirement:** ALG2/GE**Course Designation:** Online**Description:** This full-year high school course provides an alternative math credit for students who may not wish to pursue more advanced mathematics courses such as Algebra II and Pre-Calculus. The first half of the course begins with an in-depth study of probability and an exploration of sampling and comparing populations and closes with units on data distributions and data analysis. In the second half of the course, students create and analyze scatterplots and study two-way tables and normal distributions. Finally, students apply probability to topics such as conditional probability, combinations and permutations, and sets.

**Geometry – S1 & S2**

**Course Code:** OMT006/206**State Code:** 02072**Grades:** 9-12th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** ALG1**Graduation Requirement:** GEO/GE**Course Designation:** CADR, Online**Description: **Based on plane Euclidean geometry, this rigorous full-year course addresses the critical areas of: congruence, proof, and constructions; similarity and trigonometry; circles; three-dimensional figures; and probability of compound events. Transformations and deductive reasoning are common threads throughout the course. Students build on their conceptual understanding of rigid transformations as they formally define each and then, use them to prove theorems about lines, angles, and triangle congruency. Rigid transformations are also used to establish relationships between two-dimensional and three-dimensional figures. Students use their knowledge of proportional reasoning and dilations to develop a formal definition for similarity of figures. They apply their understanding of similarity to defining trigonometric ratios and radian measure. Students also make algebraic connections as they use coordinate algebra to verify properties of figures in the coordinate plane and write equations of parabolas and circles. Throughout the course, students investigate properties of figures, make conjectures, and prove theorems. Students demonstrate their reasoning by completing proofs in a variety of formats. The standards of mathematical practice are embedded throughout the course as students apply geometric concepts in modeling situations, make sense of problem situations, solve novel problems, reason abstractly, and think critically.

**Honors Geometry – S1& S2**

**Course Code:** OMT007/207**State Code:** 02072**Grades:** 10th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** ALG1**Graduation Requirement:** CADR, Online, Honors**Course Designation:** CADR, Online**Description: **Based on plane Euclidean geometry, this rigorous full-year honors level course addresses the critical areas of: congruence, proof, and constructions; similarity and trigonometry; circles; three-dimensional figures; and probability of compound events. Transformations and deductive reasoning are common threads throughout the course. Students build on their conceptual understanding of rigid transformations as they formally define each and then, use them to prove theorems about lines, angles, and triangle congruency. Rigid transformations are also used to establish relationships between two-dimensional and three-dimensional figures. Students use their knowledge of proportional reasoning and dilations to develop a formal definition for similarity of figures. They apply their understanding of similarity to defining trigonometric ratios and radian measure. Students also make algebraic connections as they use coordinate algebra to verify properties of figures in the coordinate plane and write equations of parabolas and circles. Throughout the course, students investigate properties of figures, make conjectures, and prove theorems. Students demonstrate their reasoning by completing proofs in a variety of formats. The standards of mathematical practice are embedded throughout the course as students apply geometric concepts in modeling situations, make sense of problem situations, solve novel problems, reason abstractly, and think critically.

**Financial Math – S1 & S2**

**Course Code:** OMT146/246**State Code:** 02157**Grades:** 12th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** None**Graduation Requirement:** ALG2/GE**Course Designation:** CADR, Online**Description: **Connecting practical mathematical concepts to personal and business settings, Financial Math offers informative and highly useful lessons that challenge students to gain a deeper understanding of financial math. Relevant, project-based learning activities cover topics such as personal financial planning, budgeting and wise spending, banking, paying taxes, the importance of insurance, long-term investing, buying a house, consumer loans, economic principles, traveling abroad, starting a business, and analyzing business data. Offered as a two-semester course, this course encourages mastery of math skill sets, including percentages, proportions, data analysis, linear systems, and exponential functions.

**Modeling with Math – S1 & S2**

**Course Code:** OMT018/218**State Code:** 02069**Grades:** 11th**Length:** Year-long**Online Platform:** Edgenuity**Credit:** 1**Prerequisite:** None**Graduation Requirement:** ALG2/GE**Course Designation:** Online**Description: **Broadening and extending the mathematical knowledge and skills acquired in Algebra I, the primary purpose of this course is to use mathematics as a tool to model real-world phenomena students may encounter daily, such as finance and exponential models. Engaging lessons cover financial topics, including growth, smart money, saving, and installment loan models. Prior mathematical knowledge is expanded and new knowledge and techniques are developed through real-world application of useful mathematical concepts.

**Trigonometry**

**Course Code:** OMT039/239**State Code:** 02103**Grades:** 11th**Length:** Semester**Online Platform:** Edgenuity**Credit:** 0.5**Prerequisite:** None**Graduation Requirement:** GE**Course Designation:** CADR, Online**Description:**In this one-semester course, students use their geometry and algebra skills to begin their study of trigonometry. Students will be required to express understanding using qualitative, quantitative, algebraic, and graphing skills. This course begins with a quick overview of right-triangle relationships before introducing trigonometric functions and their applications. Students explore angles and radian measures, circular trigonometry, and the unit circle. Students extend their understanding to trigonometric graphs, including the effects of translations and the inverses of trigonometric functions. This leads to the laws of sines and cosines, followed by an in-depth exploration of trigonometric identities and applications. This course ends with an introduction to the polar coordinate system, complex numbers, and DeMoivre’s theorem.