Mathematics (MA)
Students are required to take 4 math credits including Algebra 2 or it's equivalent.. A broad range of mathematics courses is offered so that students may elect those classes that will extend their mathematical competency, and provide a basis for future career preparation. Students should follow the recommendations of their mathematics teacher in determining which courses to select. Successful completion of all mathematics courses is essential for high school graduation. Typical course progression for students taking Algebra 1 and/or Geometry in middle school would be high school honors courses.
All mathematics courses at the high school level require a graphing calculator. The district primarily uses Texas Instruments (TI) calculators. Please check with the teacher for the model that will work best for the course selected. The two calculators most likely to be used are the TI-Nspire CX Graphing Calculator or the TI-84 Plus CE Graphing Calculator.
CCP courses, as noted by CCP at the beginning of the name, allow students to earn credit from both Westerville City Schools and Columbus State Community College while attending class on the high school campus. See page 28 for more information.
1 - While a mathematics-related class, this course is a general elective that can be taken concurrently with other mathematics courses; it does not count as one of the four mathematics credits needed for graduation.
Grade Levels: 9, 10
Course Length: Semester, 1 Period
Credits: 0.50 elective only (can be repeated for up to 2.0
credits)
Grade: Satisfactory or Unsatisfactory
The goal of Math Lab is to support students in the Algebra classroom by providing the opportunity to acquire the background understandings necessary as well as to front load the Algebra content. Students may enter Algebra 1 having not been successful in previous math courses or not having the prerequisite knowledge and skills necessary to be successful in Algebra. Math Lab will provide opportunities for students to fill gaps and improve on their foundational mathematical knowledge and skills. Assessment data is used to determine student strengths and weaknesses, and individual learning plans are created that monitor progress and achievement of knowledge and skills necessary to be successful learners of algebra. This course serves as an addition to the support students receive in their credit-bearing math courses.
Grade Levels: 9, 10
Course Length: Semester, 1 Period
Credits: 0.50 elective only (can be repeated for up to 2.0
credits)
Grade: Satisfactory or Unsatisfactory
The goal of Math Lab is to support students in the Geometry classroom by providing the opportunity to acquire the background understandings necessary as well as to front load the Geometry content. Students may enter Geometry having not been successful in previous math courses or not having the prerequisite knowledge and skills necessary to be successful in Geometry. Math Lab will provide opportunities for students to fill gaps and improve on their foundational mathematical knowledge and skills. Assessment data is used to determine student strengths and weaknesses, and individual learning plans are created that monitor progress and achievement of knowledge and skills necessary to be successful learners of geometry. This course serves as an addition to the support students receive in their credit-bearing math courses.
Grade Levels: 9, 10
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Math 8
Along with Geometry, Algebra is one of the main branches of Mathematics and prepares students for further study in math, science and technology. The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Key topics include linear, quadratic, and exponential relationships, contrasting them with each other and learning how to apply these functions to real world phenomena. Students will explore data and build on the skills they learned in middle school to provide a more formal means of assessing how a model fits data. Students use graphical representations and knowledge of the context to make judgments about the appropriateness of their models. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 9, 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Algebra 1
Geometry - exploring spatial sense and reasoning - is used daily by almost everyone. It is found everywhere: in art, architecture, engineering, and much more. In prior grades students studied Geometry but the rigor is greater in this course. Students will explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 9, 10
Course Length: Year, 1 Period
Credits: 1.00
1.125 Weighted grade
Recommended: Algebra 1
Geometry - exploring spatial sense and reasoning - is used daily by almost everyone. It is found everywhere: in art, architecture, engineering, and much more. Students will explore complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Honors Geometry will include additional standards; students in the Honors course will also be expected to complete additional coursework which will extend or enrich concepts in Geometry. Students will benefit from the richness of the course by completing in depth explorations of the extension activities, increasing their awareness of mathematical applications, further developing their critical thinking and communication skills. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 9, 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Geometry
Algebra 2 continues the expansion of students' algebra skills to structure their understanding of real world applications. Building on work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, trigonometric, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 9, 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.125 Weighted grade
Recommended: Honors Geometry
Honors Algebra 2 continues the expansion of students’ algebra skills to structure their understanding of real world applications. Building on work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, trigonometric, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Honors Algebra 2 will include additional standards; students in the Honors course will also be expected to complete additional coursework which will extend or enrich the included concepts in Algebra 2. Students will benefit from the richness of the course by completing in-depth explorations of the extension activities, increasing their awareness of mathematical applications, further developing their critical thinking and communication skills.
Grade Levels: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Geometry
Algebra 2 Essentials continues the expansion of students’ algebra skills to structure their understanding of real world applications. Building on 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 and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Algebra 2
Precalculus is a theory-oriented course that covers many topics which provide the necessary prerequisite to the study of Calculus. It extends the study of trigonometry, expands the student’s understanding of functions, and how these ideas are applied to other contexts. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 9, 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.125 Weighted grade
Recommended: Honors Algebra 2
Honors Precalculus is a theory-oriented course that covers many topics which provide the necessary prerequisite to the study of Calculus. This course extends the study of trigonometry, expands the student’s understanding of function, and how these ideas are applied to other contexts. Honors Precalculus includes additional standards and students in the Honors course will also be expected to complete additional coursework which will extend or enrich the included concepts in Precalculus. Students will benefit from the richness of the course by completing in-depth explorations of the extension activities, increasing their awareness of mathematical applications, further developing their critical thinking and communication skills. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations.
Grade Levels: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Recommended: Algebra 2 Equivalent, or concurrent enrollment
Financial Algebra is an algebra-based, applications-oriented, and technology-dependent mathematical modeling course. The course addresses college preparatory mathematics topics from Advanced Algebra, Statistics, Probability, Precalculus, and Calculus under seven financial umbrellas: Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. The course allows students to experience the interrelatedness of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations. The mathematics topics contained in this course are introduced, developed, and applied in an as-needed format in the financial settings covered. Students are encouraged to use a variety of problem-solving skills and strategies in real-world contexts, and to question outcomes using mathematical analysis and data to support their findings.
Grade Level: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
Statistics is a fascinating field that plays a critical role in various aspects of life. Whether you're planning a career in science, business, social sciences, or simply want to be a more informed and empowered individual, our high school statistics class offers an exciting and enriching journey into the world of data analysis. Statistics encourages critical thinking by teaching you how to formulate questions, collect and analyze data, and draw conclusions based on evidence. This course will introduce students to the practical applications of statistics and its relevance to real-life situations. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Level: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
This course (formerly Mathematical Modeling and Reasoning) is designed to promote reasoning, problem-solving, and modeling through thematic units focused on the mathematical practices while reinforcing and extending content in Number and Quantity, Algebra,
Functions, Statistics and Probability, and Geometry. Quantitative reasoning and modeling involve the application of mathematics to real-world situations, with careful attention to the choice of units and contextual challenges. Problem-solving requires analyzing an unfamiliar situation and devising a solution strategy. Problem-solving and modeling mathematics together provide opportunities for students to experience success with mathematics not merely improve their self-perception. These habits and skills promote perseverance and cut across disciplines, thus providing a gateway into successful postsecondary education and a variety of careers.
Students may earn college credit or advancement in college coursework with qualifying scores on AP and/or IB exams.
Grade Level: 9, 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.25 Weighted grade
Recommended: Algebra 2 or Algebra 2 Equivalent
Approximate Cost: $97 for the AP test (optional)
Advanced Placement (AP) courses are designed to parallel the rigor of an introductory college course. AP Statistics is an excellent option for any secondary school student who has successfully completed Algebra 2. Today, almost all majors require a statistics course at some level. This course is equivalent to a one semester, introductory, non-calculus based college course in statistics. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics include exploring data, sampling and experimentation, anticipating patterns, and statistical inference. AP Statistics emphasizes decision making based upon data analysis. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Level: 10, 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.25 Weighted grade
Recommended: Honors Geometry or Geometry
Approximate Cost: $97 for the AP test (optional)
AP Computer Science Principles is designed to parallel the rigor of a first-year introductory college computing course. Students will develop computational thinking skills vital to success in all disciplines, including using computational tools for studying data to analyze, visualize, and draw conclusions from trends. Students apply creative processes when developing computational artifacts and using computer software and other technology to explore topics of interest. They work individually and collaboratively to solve problems, and discuss and write about the importance of these problems and the impacts to their community, society, and the world. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Level: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.25 Weighted grade
Recommended: Honors Precalculus or Precalculus
Approximate Cost: $97 for the AP test (optional)
Advanced Placement (AP) courses are designed to parallel the rigor of an introductory college course. AP Calculus AB is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize 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. The focus of the course is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. 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. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Level: 11, 12
Course Length: Year, 1 Period
Credits: 1.00
1.25 Weighted grade
Recommended: Honors Precalculus or Precalculus
Approximate Cost: $97 for the AP test (optional)
Advanced Placement (AP) courses are designed to parallel the rigor of an introductory college course. AP Calculus BC is an extension of AP Calculus AB rather than an enhancement; common topics require a similar depth of understanding. Calculus BC is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize 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. The focus of the courses is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. 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. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Students may earn college credit or advancement in college coursework with qualifying scores on AP and/or IB exams.
Grade Levels: 11 and 12
Course Length: 2 Years, 1 Period
Credits: 1.00 per year
1.125 Weighted grade
Recommended: Successful completion of all Ohio State Tests through the end of sophomore year
Approximate Cost: $122 for IB test (required)
Location: Westerville South only
IB Mathematics: Applications and Interpretation SL is a two-year course designed for students possessing the fundamental skills of geometry and algebra. Many students scheduling this class will focus their future studies in humanities and nonmathematical-related fields. Course content includes numbers and algebra, functions, trigonometry, statistics and probability, mathematical modeling and an introduction to calculus. Assessments will include both internal and external assessments. The internal assessment is a mathematical exploration paper based upon a suitable math topic of the student’s choice. The external assessment comprises two examinations at the end of the second year. The purpose of IB Mathematics: Applications and Interpretation SL is for students to identify and study practical applications for mathematics they will encounter throughout their life experiences. This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Levels: 11 and 12
Course Length: 2 Years, 1 Period
Credits: 1.00 per year
1.125 Weighted grade
Recommended: Successful completion of all Ohio State Tests through the end of sophomore year
Approximate cost: $122 for IB test (required)
Location: Westerville South only
IB Mathematics: Analysis and Approaches SL is designed for students who anticipate a need for sound mathematical background in preparing for future studies. This course serves as a rigorous foundation for mathematical concepts without the additional content included in the higher level analysis and approaches course. Course content includes advanced algebra, functions and equations, circular functions and trigonometry, statistics and probability, and calculus topics, including differentiation and integration. Assessments will include both internal and external assessments. The internal assessment is a mathematical exploration paper based upon a suitable math topic of the student’s choice. The external assessment comprises two examinations at the end of the second year. In addition, students will be prepared for and will have the opportunity to take the AP Calculus AB test at the end of their first year. Throughout the course instruction and assessment, there will be a great emphasis on the ability to construct, communicate and justify correct mathematical arguments. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
Grade Levels: 11 and 12
Course Length: 2 Years, 1 Period
Credits: 1.00 per year
1.25 Weighted grade
Recommended: Successful completion of all Ohio State Tests through the end of sophomore year and a “B” or higher in Honors Precalculus
Approximate cost: $122 for IB test (required)
Location: Westerville South only
IB Mathematics: Analysis and Approaches HL is designed for students who anticipate a need for sound mathematical background in preparing for future studies. This course includes the same content as the standard level analysis and approaches course, with the addition of extra topics. Course content includes advanced algebra, functions and equations, circular functions and trigonometry, statistics and probability, in depth calculus topics, vectors, and induction proofs. Assessments will include both internal and external assessments. The internal assessment is a mathematical exploration paper based upon a suitable math topic of the student’s choice. The external assessment comprises three examinations at the end of the second year. In addition, students will be prepared for and will have the opportunity to take the AP Calculus BC test at the end of their first year. Throughout the course instruction and assessment, there will be a great emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students who wish to take Mathematics: Analysis and Approaches at a higher level should have strong algebraic skills and the ability to understand simple proofs. They will be students who enjoy spending time with problems and get pleasure and satisfaction from solving challenging problems. This course counts as a STEM elective for students pursuing a STEM Honors diploma.
College Credit Plus courses allow students to earn credit from both Westerville City Schools and Columbus State Community College while attending class on the high school campus.
Grade Level: 11, 12
Course Length: Semester, 1 Period
Credit: 1.00 high school and 5 semester college hours
1.25 Weighted grade
Prerequisite: Must have intent form on file and meet CSCC placement requirements
Mathematics 1152 Calculus 2 provides a continued introduction to integral calculus, focusing on integration of exponential, logarithmic, trigonometric, inverse trigonometric functions, volume and surface area of solids of revolution, arc length, and methods of integration. Topics include: L'Hopital's Rule and improper integrals, analysis of plane curves given parametrically or in polar coordinates, sums and/or convergence of infinite sequences and series, and conic sections and vectors in the plane and in space. Emphasis is placed on the application of these topics to problems in science and engineering. Students will need to enroll in Columbus State Community College (CSCC) to participate. Dual credit will be provided for MATH 1152 offered at CSCC.
Grade Level: 11, 12
Course Length: Semester, 1 Period
Credit: 1.00 high school and 5 semester college hours
1.25 Weighted grade
Prerequisite: Must have intent form on file and meet CSCC placement requirements
Mathematics 2153 Calculus 3 provides a continuation of the calculus sequence, focusing on introducing multivariable calculus. Topics include: vector-valued functions and motion in the plane and in space, functions of several variables, partial derivatives, directional derivatives, gradients, extrema, multiple integrals, line integrals, Green’s theorem, parametric surfaces, divergence theorem, and Stokes theorem. Emphasis is placed on the application of these topics to problems in science and engineering. Students will need to enroll in Columbus State Community College (CSCC) to participate. Dual credit will be provided for MATH 2153 offered at CSCC.