# Mathematics

The Mathematics Department offers a sequence of courses that prepare students and respects individual interest and achievement. Goals for students throughout their time at Hoban include mastery of fundamental operations along with development of problem-solving skills and an appreciation for the structure and applications of mathematics.

The mathematics curriculum at Hoban prepares students to perform structured and analytical thinking. Through the study of algebra, geometry, pre-calculus, calculus, and statistics, students develop critical thinking skills and are able to apply the skills they have mastered to solve problems. Students learn that math skills – logic, organization, communication, etc. – can be applied to other subjects and everyday life. Hoban graduates are prepared for college level math.

Hoban offers a variety of advanced courses including AP Calculus, AP Statistics, AP Computer Science, CCP Pre-Calculus and CCP Calculus. All honors and Advanced Placement courses require permission of the department. Initial class placement in grade nine is made on the basis of the High School Placement Test and previous academic work in mathematics. Algebra I, or placement beyond it by Hoban, is required for graduation.

Hoban students use technology to increase understanding and proficiency in mathematics. Computer and calculator use will be promoted, but computers, computer science and calculators will not replace mathematics or mathematics teachers. Computers and calculators will be used to make math accessible to students by presenting mathematical concepts in dynamic visual and numeric forms versus static analytic forms. They eliminate the repetitious and routine and will allow more time for the development of conceptual understanding as opposed to computational accuracy.

At least a scientific calculator is required for Algebra, Advanced Algebra, Intermediate Algebra, Geometry and Honors Geometry with Advanced Algebra. A TI-30 XS is strongly encouraged.

A graphing calculator is required for Algebra II, Honors Algebra II, Honors Pre-Calculus with Trigonometry, College Algebra, Statistics, Trigonometry, CCP Pre-Calculus, CCP Calculus, AP Calculus and AP Statistics. A TI-84 model is strongly encouraged.

#### Math Club All students are welcome to join!

## Mathematics and Computer Science

*Initial placement in Grade 9 is made on the basis of the High School Placement Test and previous academic work in mathematics. Algebra I, or placement beyond it by Hoban, is required for graduation.*

- Algebra
- Intermediate Algebra
- Advanced Algebra
- Honors Geometry with Advanced Algebra
- Geometry
- Algebra II
- Algebra II
- Honors Algebra II
- College Algebra
- College Algebra
- Trigonometry
- Introductory Statistics
- Honors Precalculus with Trigonometry
- CCP Elementary Functions
- CCP Calculus
- AP Calculus AB
- AP Statistics
- Computer Science I
- Computer Science II
- AP Computer Science Principles

## Algebra

This course is recommended for students whose placement test scores and performance in previous math courses indicate that they should reinforce fundamental algebraic concepts before progressing to more advanced concepts. TI-30XS is required for this course.

Two Semesters | Credit: 1 Unit | Course No: 030101 |

## Intermediate Algebra

This course is recommended for students whose placement test scores and performance in previous math courses indicate that they have mastered fundamental algebraic concepts and are ready to progress to more advanced concepts. TI-30XS is required for this course.

Two Semesters | Credit: 1 Unit | Course No: 030102 |

## Advanced Algebra

This course is recommended for students whose placement test scores and performances in previous math courses indicate that they have mastered the fundamental concepts of Algebra and some of the advanced concepts. These students should have a strong interest in mathematics and their placement test scores and grades in previous mathematics courses should indicate above average mastery. These students will reinforce some of the advanced topics and complete all of the requirements for the advanced course in Algebra. TI-30XS is required for this course.

Two Semesters | Credit: 1 Unit | Course No: 030105 |

## Honors Geometry with Advanced Algebra

This course is for students who have demonstrated exceptional ability and interest in mathematics as indicated on the placement test. Students will also have excellent conceptual understanding of the essentials of a first course in Algebra. This course includes plane, solid, and analytic geometry. Important algebraic concepts the student will need in subsequent courses are also an integral part of the course. TI-30XS is required for this course.

Two Semesters | Credit: 1 Unit | Course No: 030103 |

## Geometry

Geometry follows successful completion of a first course in Algebra in a sequence that will proceed through a second course in Algebra to appropriate courses that will be determined based on the student’s performance, interest level, and possible career preparation. The course includes plane, solid and analytic geometry. Important algebraic concepts the student will need in subsequent courses are also an integral part of this course. TI-30XS is required for this course.

Two Semesters | Credit: 1 Unit | Course No: 030103 / 030204 |

## Algebra II

Algebra II will review and extend the basic skills learned in Algebra or Intermediate Algebra with an emphasis on understanding functions and function transformations. Students will sharpen mathematical skills, study some new topics, and develop more logical thought processes. TI-83 or TI-84 graphing calculator is required (TI-89 is not permitted.)

Prerequisite: Algebra or Intermediate Algebra

Two Semesters | Credit: 1 Unit | Course No: 030401 |

## Algebra II

Algebra II will extend the basic skills learned in Intermediate Algebra or Advanced Algebra with an emphasis on analyzing and applying functions. Students will sharpen mathematical skills, study some new topics, and develop more logical thought processes. TI-83 or TI-84 graphing calculator is required. TI-89 is not permitted.

Geometry may be taken concurrently with this course, with teacher recommendation.

Prerequisite: Intermediate Algebra or Advanced Algebra

Two Semesters | Credit: 1 Unit | Course No: 030301 |

## Honors Algebra II

Students enrolled in this foundational course must have demonstrated exceptional mastery of first year Algebra concepts. This is a course for self-motivated students with a strong interest in mathematics who have shown that they have the ability to perform in a rapidly paced and demanding mathematics course. Topics include logarithmic and exponential functions, matrices, the conic sections, and the set of complex numbers. This course may not be taken prior to Geometry. TI-83 or TI-84 graphing calculator is required. TI-89 is not permitted.

Geometry may be taken concurrently with this course.

Prerequisite: Honors Geometry with Advanced Algebra I with a grade of B- or better, or Advanced Algebra with teacher recommendation.

Two Semesters | Credit: 1 Unit | Course No: 030203 |

## College Algebra

This course is an extension of Algebra II. All families of functions continue to be studied. Functions are graphed

and analyzed manually as well as with the aid of a graphing calculator. A graphing calculator is required for this

course; the TI-89 is not permitted.

Prerequisite: Algebra II, Grades 11, 12

First Semester | Credit: 1 Unit | Course No: 030411 |

## College Algebra

This course is a rigorous extension of Algebra II. All families of functions are studied in depth, including

applications of functions. Graphing functions manually, as well as the use of the graphing calculator, is mastered.

A graphing calculator is required for this course; the TI-89 is not permitted.

Prerequisite: 030301 Algebra II, Grade 12

First Semester | Credit: 1/2 Unit | Course No: 030308 |

* This course is to be paired with Trigonometry (030601) AND/OR Introductory Statistics (030602)

## Trigonometry

This course is designed for students who are interested in pursuing a career in engineering, medicine, the sciences, or computer science. It is a blend of the algebra skills and trigonometric skills needed to succeed in a college precalculus or calculus course. Triangle trigonometry, vectors and analytical trigonometry will be examined. May be taken concurrently with Introductory Statistics. A graphing calculator is required for this course; the TI-89 is not permitted.

Prerequisite: 030411 College Algebra

One Semester | Credit: 1/2 Unit | Course No: 030601 |

## Introductory Statistics

This course is designed for students who are interested in pursuing a career in business or the humanities. It is a blend of the algebra skills and statistical skills needed to succeed in an entry-level college math course. Data analysis, experimental design, probability, and statistical inference will be examined. A graphing calculator is required for this course; the TI-89 is not permitted. This may be taken alone or doubled with Trigonometry. Prerequisite: 030411 College Algebra.

Prerequisite: 030308 or 030411 College Algebra

2nd Semester | Credit: 1/2 Unit | Course No: 030602 |

## Honors Precalculus with Trigonometry

This course serves as a foundation for a first calculus course. The course introduces students to the skills necessary for rigorous analysis of the topics in trigonometry, analytic geometry, exponential and logarithmic functions, and sequences and series. This is a course for self-motivated students with a strong interest in mathematics who have shown the ability to perform in a rapidly paced and demanding mathematics course. TI-83 or TI-84 graphing calculator is required (TI-89 is not permitted.)

Prerequisite: Successful completion of Honors Algebra II and teacher recommendation.

Two Semesters | Credit: 1 Unit | Course No: 030305 |

## CCP Elementary Functions

This course serves as a foundation for a first Calculus course. The course includes solving rational and radical

equations, polynomial and rational inequalities, transformation of functions, composition of functions, inverse

functions, exponential and logarithmic functions, conic sections, sequences and series, trigonometry, systems of

equations, and matrices and determinants.

Students have the opportunity to earn college credit through the College Credit Plus Program (CCP) at Walsh University.

To earn the CCP credit, students and parents must complete a sequence of application and approval steps through

Stark State and the Ohio Department of Education (ODE). The State of Ohio will cover the cost of the credits

earned if the steps are completed within the timelines established by the university and ODE. CCP credits are

automatically accepted by Ohio’s public universities, and are accepted by many other universities. Check with each

university regarding their policies regarding transfer credits.

Prerequisite: Successful completion of Algebra II with a grade of B- or better and ACT Math score of at least 22.

Two Semesters | Credit: 1 Unit | Course No: 030408 |

## CCP Calculus

In this course students will develop mathematical thinking and communication skills and learn to apply precise

logical thinking to the study of analytic geometry, limits, continuity, derivatives, definite integrals, indefinite

integrals, areas and volumes. Key ideas and concepts will be presented from a variety of perspectives with a broad

range of examples and applications. A graphing utility will be used to reinforce and extend concepts and for

numerical methods. Students will progress from a procedural/computational understanding of mathematics to a

broader understanding encompassing logical reasoning, generalization, abstraction, and formal proof.

Students have the opportunity to earn college credit through the College Credit Plus Program (CCP) at Walsh University.

To earn the CCP credit, students and parents must complete a sequence of application and approval steps through

Stark State and the Ohio Department of Education (ODE). The State of Ohio will cover the cost of the credits

earned if the steps are completed within the timelines established by the university and ODE. CCP credits are

automatically accepted by Ohio’s public universities, and are accepted by many other universities. Check with each

university regarding their policies regarding transfer credits.

Prerequisite: Successful completion of Precalculus or both College Algebra and Trigonometry with a grade of B+ or better.

Two Semesters | Credit: 1 Unit | Course No: 030409 |

## AP Calculus AB

The course will follow the Calculus AB syllabus of the College Entrance Board. At the course’s termination,

students should be prepared to take the Advanced Placement Examination on Calculus AB. The class assumes

competence with trigonometric, exponential and logarithmic functions as well as a solid foundation in the theory and

application of limits. A TI-83 or TI-84 graphing calculator is recommended. TI-89 is permitted; students are issued

a school-owned TI-89 to use for the school year.

Prerequisite: Successful completion of Honors Precalculus with Trigonometry and teacher recommendation.

Two Semesters | Credit: 1 Unit | Course No: 030404 |

## AP Statistics

Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four major conceptual themes: 1) Exploring data: Observing patterns and departures from patterns. 2) Planning a study: Deciding what and how to measure. 3) Anticipating patterns: Producing models using probability theory and simulation. 4) Statistical inference: Confirming models. It is not meant to replace Precalculus for students who will need Calculus in college. A TI-83 or TI-84 graphing calculator is required

Prerequisite: Successful completion of College Algebra or Honors Precalculus with Trigonometry or CCP Precalculus and teacher recommendation.

Two Semesters | Credit: 1 Unit | Course No: 030405 |

## Computer Science I

## Computer Science II

## AP Computer Science Principles

## Mathematics Department Faculty

### Andrew Bonnette

**Email:**

### Michael MacDonald

**Email:**

### Jennifer Spontarelli

**Email:**

### Zachary Tocchi

**Email:**

### Susan Veverka

**Email:**