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Mathematics

The Mathematics Department offers most classes at multiple levels of difficulty in order to accommodate different learners. AP® Calculus AB, AP® Calculus BC and AP® Statistics are offered so that students can earn college credit while still in high school. Four credit hours are required for graduation.

8th Grade Assessment: Students who wish to place into Honors Geometry or Honors Algebra II during their freshman year are asked to take a math assessment exam. Assessment exams are arranged through the Admissions office. Placement for Algebra I is based on previous math grades and standardized test scores. 

Additionally, if the State of Ohio Assessment was not taken in 7th or 8th grade, students who place in Honors Geometry or Honors Algebra II must take the Algebra assessment required for graduation by the State of Ohio during their freshman year. 

What is an Honors Math Course?
An honors level course is significantly more demanding than a regular course in both difficulty of material and workload. Students will be expected to not only know the material, but also to apply it in unfamiliar situations. Expanded writing assignments and essay questions may be required. A deep understanding of and ability to work with fractions is essential to success in an Honors-level course within the Mathematics Department.

  • Pre-Algebra

    Prerequisite: Students will be placed in this course by the Admissions Review Committee only. Students in this course will take Pre-Algebra first semester and Algebra I second semester.
    Big Ideas: This course has been designed to be self-paced. Students can generally work at a pace that is appropriate for them. All students must complete the first three units but have the opportunity to do two more additional units if time and skill level provides. The course works to expand number sense to understand, perform operations and solve problems with rational numbers, then develop problem-solving skills using variables in expressions and equations. In order to emphasize number sense and computational fluency, calculators will be permitted on a very limited basis.
    • Calculating with multi-digit numbers, estimating, rounding and understanding how quantities are affected by mathematical operations
    • Understanding and using percents in the real world
    • Understanding and using rational numbers 
    • Solving equations and inequalities 
    • Using and applying linear relationships 
    • Problem-solving is emphasized in each topic

  • Algebra I

    Prerequisite: Students will be placed in this course by the Admissions Review Committee only.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS highly recommended).
    Big Ideas: Develops problem-solving skills using variables in expressions and equations.
    • Properties of real numbers
    • Polynomial expressions
    • Equations and inequalities 
    • Graphing techniques
    • Systems of linear equations
    • Problem-solving techniques 

  • Honors Algebra I

    Prerequisites: Students will be placed in this course by the Admissions Review Committee only. Please see the "What is an Honors Course?" paragraph in the Course Catalog to understand the rigors and requirements of an honors course.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Develops problem-solving skills using variables in expressions and equations. Concepts will be taught with a greater emphasis on depth, detail, theory and complexity in calculations than in Algebra I.
    • Polynomial equations and inequalities
    • Graphing techniques
    • Systems of linear equations
    • Problem-solving techniques 

  • Geometry

    Prerequisite: Algebra I
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Establish the properties and relationships of sets of points in a plane and in space. Students will utilize these relationships, and emphasizes application and critical thinking for the following topics:
    • Lines, points and planes
    • Polygons
    • Right triangle relationships
    • Area, surface area and volume
    • Circles
    • 3D figures
    • Mathematical logic 
    • Probability

  • Honors Geometry

    Prerequisites: The students wishing to take this honors-level course are recommended to have a grade of B or better in Honors Algebra I or be placed in this class by the Admissions Review Committee based on the 8th grade assessment exam. Please see the "What is an Honors Course?" paragraph in the Course Catalog to understand the rigors and requirements of an honors course.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Develop the properties and relationships of sets of points in a plane and in space with the development of mathematical proof. Emphasis will be given to mathematical logic and proof as well as problems with increased complexity over those in Geometry. In order to emphasize number sense and computational fluency, calculator use will be limited.
    • Lines, points and planes
    • Polygons
    • Circles
    • 3D figures
    • Mathematical logic 
    • Probability 

  • Algebra II A

    Prerequisite:  Students will be placed into this course by teacher recommendation only. 
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended). Students must register for Algebra II A and Algebra II B in the same year.
    Big Ideas: The first half of the Algebra II course extended and expanded to allow those who have traditionally struggled in math the time, assistance and practice necessary to master more advanced algebra topics. This course will develop the relationship between advanced functions, their graphs and applications. Graphing calculator applications will be integrated into most topics. 
    • Relationships between functions and their graphs
    • Polynomial functions
    • Linear Systems
    • Quadratic functions
    • Matrices 

  • Algebra II B

    Prerequisite: Students will be placed into this course by teacher recommendation only. Students must register for Algebra II A and Algebra II B in the same year.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: The second half of the Algebra II course extended and expanded to allow those who have traditionally struggled in math the time, assistance and practice necessary to master more advanced algebra topics. This course will develop the relationship between advanced functions, their graphs and their applications. Graphing calculator applications will be integrated into most topics. 
    • Polynomial functions
    • Radical functions and rational exponents
    • Trigonometric functions
    • Exponential/logarithmic functions
    • Rational functions

  • Algebra II

    Prerequisite: Geometry and Algebra I
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Develop the relationship between advanced functions, their graphs and their applications. Emphasis will be placed on graphing and making connections between equations and their graphs. Graphing calculator applications will be integrated into most topics. 
    • Quadratic functions
    • Polynomial functions
    • Trigonometric functions
    • Exponential/logarithmic functions
    • Rational functions

  • Honors Algebra II

    Prerequisites: Those students wishing to take this honors-level course are recommended to have a grade of "B" or higher in Honors Geometry, or an "A" in Geometry. Please see the "What is an Honors Course?" paragraph in the Course Catalog to understand the rigors and requirements of an honors course.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Rigorously examines the relationship between advanced functions, their graphs, and their applications with additional emphasis on more complex computations, applications and mathematical theory. While graphing calculator applications will be integrated into most topics, students will also be expected to complete complex computations and graphs without the aid of a calculator in preparation for AP® Calculus. 
    • Quadratic functions
    • Conic Sections
    • Trigonometric functions
    • Exponential/logarithmic functions
    • Matrices 
    • Rational functions

  • College Prep Math

    Prerequisite: Students will be placed into this course by teacher recommendation only.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Idea: A survey of mathematical topics relevant to students enrolling in a non-mathematical collegiate program for students who have traditionally struggled in math. An emphasis will be placed on the use and application of technology.
    • Quadratic functions
    • Polynomial functions
    • Radical functions
    • Exponential and logarithmic functions

  • Statistics

    Prerequisite: Grade of C or higher in Algebra II
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Introduction to statistical reasoning. Emphasis will be placed on concepts rather than in-depth coverage of traditional statistical methods. Topics include sampling and experimentation, descriptive statistics, probability, binomial and normal distributions, estimation, single sample and two sample hypothesis tests for means and proportions.
    • Data collection and analysis
    • Measures of central tendencies
    • Probability
    • Normal probability distributions
    • Hypothesis testing

  • AP® Statistics

    Prerequisites: Those students wishing to take Advanced Placement (AP®) level courses will have demonstrated intellectual scholarship in the subject and have received prior written approval from the department chair. Those students wishing to take this AP® level course are recommended to have a grade of "B" or higher in Honors Algebra II.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended). Taking the AP® Statistics Exam is mandatory. The cost is approximately $95.
    Big Ideas: The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: 
    • Exploring Data: Describing patterns and departures from patterns
    • Sampling and Experimentation: Planning and conducting a study
    • Anticipating Patterns: Exploring random phenomena using probability and simulation
    • Statistical Inference: Estimating population parameters and testing hypotheses

  • Pre-Calculus

    Prerequisite: Grade of C or higher in Algebra II or recommendation of most recent math teacher.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas:  Establish the theoretical and computational foundations necessary for further studies in calculus with an emphasis on functional analysis and graphing calculator use.
    • Sequences/series
    • Trigonometric graphs and identities
    • Exponential functions and logarithms
    • Solving higher order equations
    • Polynomial functions

  • Honors Pre-Calculus

    Prerequisites: Those students wishing to take this honors-level course are recommended to have a grade of "B" or higher in Honors Algebra II. Please see the "What is an Honors Course?" paragraph in the Course Catalog to understand the rigors and requirements of an honors course. 
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Establish the theoretical and computational foundations necessary for further studies in calculus with an emphasis on functional analysis. The Honors course includes additional enrichment topics including vectors, polar coordinates/polar graphs and limits. While graphing calculator applications will be integrated into most topics, students will also be expected to do complex computations and graphs without the aid of a calculator in preparation for AP® Calculus. 
    • Sequences/Series
    • Trigonometric graphs and identities
    • Polar coordinates
    • Exponential functions and logarithms
    • Solving higher order equations

  • Honors Calculus

    Prerequisites: Those students wishing to take this honors-level course are recommended to have a grade of B or better in Pre-Calculus. Please see the "What is an Honors Course?" paragraph in the Course Catalog to understand the rigors and requirements of an honors course.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: Examine the study of derivatives and integrals of functions of one variable and their applications. Technological analysis of functions, derivatives and integrals will be emphasized. 
    • Limits and tangent lines and their connection to calculus
    • Derivatives of polynomial, exponential, logarithmic and trigonometric functions
    • Integrals of polynomial and exponential functions and their graphs
    • Use derivatives and integrals to solve a variety of real world problems
    • Use technology to help solve problems, experiment, interpret results and verify conclusions

  • AP® Calculus AB

    Prerequisites: Those students wishing to take AP® level courses will have demonstrated intellectual scholarship in the subject and have received prior written approval from the department chair. Those students wishing to take this AP®-level course are recommended to have a grade of B or better in Honors Pre-Calculus.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS highly recommended). Taking the AP Calculus AB Exam is mandatory. The cost is approximately $95.
    Big Ideas: Success in AP® Calculus is closely tied to the preparation students have had in courses leading up to their AP® course. Students should have demonstrated mastery of material from courses that are the equivalent of four full years of high school mathematics before attempting AP® Calculus. Calculus AB is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. Students will be expected to complete many complex computations and graphs without the aid of a calculator, as two-thirds of the AP® exam must be completed without a calculator.
    • Work with functions represented in a variety of ways: graphical, numerical, analytical or verbal
    • Understand the meaning of the derivative in terms of a rate of change and local linear approximation
    • Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change
    • Use derivatives and integrals to solve a variety of real-world problems
    • Develop the abilities to think clearly and to express ideas orally and in writing, with clarity and logic
    • Use technology to help solve problems, experiment, interpret results and verify conclusions 

  • AP® Calculus BC

    Need a minimum of 8-10 students registered, otherwise students will have to take as independent study.
    Prerequisites: Those students wishing to take AP®-level courses will have demonstrated intellectual scholarship in the subject and have received prior written approval from the department chair. Those students wishing to take this AP® level course are recommended to have a grade of B or better in AP® Calculus AB.
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended). Taking the AP® Calculus BC Exam is mandatory. The cost is approximately $95.
    Big Ideas: AP® Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP® course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results and support conclusions.

  • Honors Discrete Math

    Discrete Math classes will be offered based on student interest and staffing. 
    Prerequisites: "A" in Algebra II or B in Honors Algebra II
    Requirement: Each student must have her own graphing calculator (TI-84 PLUS CE highly recommended).
    Big Ideas: The exploration of math topics not presented in the more traditional function-based math courses and which might be of interest to students considering a STEM career.
    • Number theory
    • Advanced probability
    • Deductive logic and truth tables
    • Sequences
    • Cryptography

  • Personal Finance

    Big Ideas: Personal Finance is a course designed to help students understand the impact of individual choices on occupational goals and future earnings potential. Real world topics covered will include income, money management and budgeting, spending and credit, and insurance, as well as saving and investing. Students will participate in online simulations involving checking accounts, paying bills and credit management. This course will provide a foundational understanding for making informed personal financial decisions. 
    • Working and earning
    • Financial responsibility
    • Saving and investments
    • Credit and debt
    • Risk management 

Department Faculty