# High School - Mathematics

**Algebra Skills Seminar (31995G)**** **

This course provides students with additional support in algebraic skills needed to master Algebra I. Students earn an elective credit for the course. The course will be used to teach, support, and remediate topics. Students will use technology resources, as well as hands-on activities, to support classroom instruction. Students will work through an individual plan targeted specifically to their areas of need. The grading for the course is dependent on completion of classroom assignments and participation. The course should be taken by students before they enroll in Algebra. If a student needs to earn Algebra verified credit, he/she could enroll in the course.

**Algebra I – Part 1 of 2 (31310G)**

The course requires students to use algebra as a tool for representing and solving a variety of practical problems. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze behaviors of functions. Graphing calculators, computers, and other appropriate technology tools will be used to assist in teaching and learning. Graphing utilities enhance the understanding of functions; they provide a powerful tool for solving and verifying solutions to equations and inequalities. Throughout the course, students will be encouraged to engage in discourse about mathematics with teachers and other students, use the language and symbols of mathematics in representations and communication, discuss problems and problem solving, and develop confidence in them as mathematics students. This class covers objectives at a more relaxed pace to better ensure mastery of skills.

**Algebra I – Part 2 of 2 (31320G)**

The course requires students to use algebra as a tool for representing and solving a variety of practical problems. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze behaviors of functions. Graphing calculators, computers, and other appropriate technology tools will be used to assist in teaching and learning. Graphing utilities enhance the understanding of functions; they provide a powerful tool for solving and verifying solutions to equations and inequalities. Throughout the course, students will be encouraged to engage in discourse about mathematics with teachers and other students, use the language and symbols of mathematics in representations and communication, discuss problems and problem solving, and develop confidence in them as mathematics students.

**Algebra I (31300G)**

The course is designed to build relationships among algebra and arithmetic, geometry, and probability and statistics. Connections are made with other subject areas through practical applications. Students will use algebra as a tool for representing and solving a variety of practical problems. Tables and graphs are used to interpret algebraic expressions, equations, and inequalities, and to analyze behaviors of functions. Graphing calculators, computers, and other appropriate tools will be used to assist in teaching and learning. Students are encouraged to talk about mathematics, to use the language and symbols of mathematics to communicate, to discuss problems and problem-solving, and to develop their confidence in mathematics. Instruction will focus on sequential development of concepts and skills using concrete materials to assist in the transition from the arithmetic to the symbolic.

**Geometry - Part 1 of 2 (31440G)**

Prerequisite: Algebra I

This course is designed for students who have successfully completed the Algebra I standards. It focuses on properties of geometric figures, trigonometric relationships, and reasoning to justify conclusions. The standards emphasize two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. This class covers objectives at a more relaxed pace to better ensure mastery of skills.

**Geometry - Part 2 of 2 (31450G)**

Prerequisite: Geometry - Part 1 of 2

This course is designed for students who have successfully completed the Algebra I standards. It focuses on properties of geometric figures, trigonometric relationships, and reasoning to justify conclusions. The standards emphasize two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. This class covers objectives at a more relaxed pace to better ensure mastery of skills.

**Geometry (31430G)**

Prerequisite: Algebra I

**Honors Geometry (31430H)**

Prerequisite: Algebra I & verified math credit or teacher recommendation

This course is designed for the student who has mastered the Algebra I standards and excels in mathematics. The standards emphasize two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. It focuses on properties of geometric figures, trigonometric relationships, and reasoning to justify conclusions. Accelerated pacing will allow the student to apply logic skills by proving more complex theorems to increase higher-level thinking skills. This course receives

**honors**weighted credit.

**Algebra, Functions, and Data Analysis (31340G)**

Prerequisite: Algebra I

This course is designed for the student who has successfully completed Algebra I. Students will study functions and their behaviors, systems of inequalities, probability, experimental design and implementation, and analysis of data generated by practical applications arising from real-life situations. Students will solve problems that require the formulation of linear, quadratic, exponential, or logarithmic equations or a system of equations. The standards for this course also focus on a transformational approach to graphing functions and writing equations when given the graph of the equation. The Standards of Learning for this course build a strong connection between algebraic and graphic representations of functions, as well as algebra and statistics overall.

**Algebra II (31350G)**

Prerequisite: Algebra, Functions, and Data Analysis (AFDA) or Geometry; & verified math credit or teacher recommendation

This course focuses on advanced algebraic concepts through the study of functions, “families of functions,” equations, inequalities, systems of equations and inequalities, polynomials, rational and radical equations, complex numbers, and sequences and series. Emphasis is placed on practical applications and modeling. Written and oral communication concerning the language of algebra, logic of procedures, and interpretation of results are taught. This course emphasizes a transformational approach to graphing functions. It builds a strong connection between algebraic and graphic representations of functions. Students vary the coefficients and constants of an equation, observe the changes in the graph of the equation, and make generalizations that can be applied to many graph. Graphing calculators will be used.

**Algebra II with Trigonometry (31350H)**

Prerequisite: Geometry; verified math credit or teacher recommendation

The standards for this combined course in Algebra II and Trigonometry include all of the standards listed for Algebra II and Trigonometry. Topics include, but are not limited to, complex numbers; functions and graphs; systems of equations and inequalities; polynomial, logarithmic, and exponential functions and equations; and sequences and series. Topics from trigonometry include circular functions, graphs, and applications. Graphing calculators are used to enhance the understanding of realistic applications through mathematical modeling and to aid in the investigation and study of functions, equations, and inequalities. This course is designed for advanced students who are capable of a more rigorous course at an accelerated pace. The standards listed for this course provide the foundation for students to pursue a sequence of advanced mathematical studies from Mathematical Analysis to Advanced Placement Calculus. This course receives

**honors**weighted credit.

**DE Probability and Statistics (31900DE)**

Prerequisite: Math Analysis/Pre-Calculus

The purpose of this course is to present basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions. Graphing calculators and other technologies will be used to enhance the understanding of mathematical concepts. The course is designed for students who are capable of more rigorous content at an accelerated pace. This PDCCC dual enrollment course aligns with MTH 245.

**Students must have completed MTH 161 with a C or better on the PDCCC grade scale.**

**Student must complete the VPT for Math and English and/or meet the criteria established by PDCCC to enroll in course.**Please read all the details about dual enrollment under the Programs link on the Program of Studies home page. This course receives

**advanced**weight.

**Functions Trigonometry (31610H)**

Prerequisite: Algebra II

This course provides students with a solid foundation in algebra and trigonometry, shows students how algebra and trigonometry can be used to model real-world problems, and enables students to develop critical-thinking skills. Several topics introduced in Algebra II will be studied in more detail while new topics on trigonometric functions, identities, equations and triangles will be explored. This course receives

**honors**weighted credit.

**DE Math Analysis/Pre-Calculus (31625DE)**

Prerequisite: Functions Trigonometry or Algebra II with Trigonometry

This course develops students’ understanding of algebraic and transcendental functions, parametric and polar equations, sequences and series, and vectors. The content of this course serves as appropriate preparation for a calculus course. In addition, the course includes an overview of some aspects and applications of calculus: limits of functions, derivatives, anti-derivatives of polynomial functions, definite integrals, and the Fundamental Theorem of Calculus. This PDCCC dual enrollment course aligns with MTH 161 and MTH 162. Student must pass MTH 161 with a D or better on the PDCCC grade scale in order to enroll in MTH 162.

**Student must complete the VPT for Math and English and/or meet the criteria established by PDCCC to enroll in course.**Please read all the details about dual enrollment under the Programs link on the Program of Studies home page. This course receives

**advanced**weight.

**Calculus (31990H)**

Prerequisite: Functions Trigonometry (w/teacher recommendation) or Math Analysis/Pre-Calculus

The course instruction focuses on limits, differentiation, and integration. Solutions of differential equations by separation of variables, analysis of word problems, and use of graphing calculators in their solutions are emphasized. This course receives

**honors**weight.

**AP Calculus AB (31770AP)**

Prerequisite: Calculus or DE Math Analysis/Pre-Calculus

This is a yearlong course. This course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Broad concepts and widely applicable methods are emphasized. The focus of the course is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of these courses. Technology will be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. These themes are developed using all the functions listed in the prerequisites. The learning objectives for the course can be found on the College Board website. This course prepares students for the AP examination in Calculus AB. This course receives

**advanced**weighted credit if the student sits for the corresponding College Board exam.

**AP Calculus BC (31775AP)**

Prerequisite: Calculus (with teacher recommendation) or AP Calculus AB

This is a yearlong course. Calculus BC is an extension of Calculus AB rather than an enhancement; common topics require a similar depth of understanding. This course receives

**advanced**weighted credit if the student sits for the corresponding College Board exam.

**DE Calculus (31995DE)**

Prerequisite: DE Math Analysis/Pre-Calculus

This course presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. This PDCCC dual enrollment course aligns with MTH263. Students must pass DE Math Analysis/Pre-Calculus with a C or better or complete the VPT for Math and/or meet the criteria established by PDCCC to enroll in this course. Please read all the details about dual enrollment under the Programs link on the Program of Studies home page. This course receives advanced weight.

**Local Mathematics (32001S)**

This individualized instructional course for identified students with disabilities is designed to teach and reinforce basic mathematical concepts needed for independent living as outlined on the student’s IEP. This course may be continued. NOTE: Local Mathematics does not count as a mathematics credit for a Standard or Modified Standard Diploma.