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# Hoover H.S. Math Department

**Math Department Faculty**

Travis Ackerman | jta1nc@northcantonschools.org |

Doug Burwell | dbb1nc@northcantonschools.org |

Tina Cindea | tc1nc@northcantonschools.org |

Malissa Dalton | ms2nc@northcantonschools.org |

Nick Gamble | npg1nc@northcantonschools.org |

Tim Goodan | goodmant@northcantonschools.org |

David Grimm | dvg1nc@northcantonschools.org |

Troy Kozee | tdk1nc@northcantonschools.org |

Jeff Kreis | jjk1nc@northcantonschools.org |

Allison Medley | medleya@northcantonschools.org |

Matthew Roshak | roshakma@northcantonschools.org |

Jessica Rosson | rossonj@northcantonschools.org |

Debbie Wiley | daw1nc@northcantonschools.org |

**GRADUATION REQUIREMENT: Four full-year math credits, including Algebra II or the equivalent. **

The mathematics department at Hoover High School believes students have much more to gain from math courses than just mathematical skills. Students can also be taught to think and reason more carefully, to analyze situations, and to become effective problem-solvers. Students will be expected to communicate effectively regarding mathematical ideas and to express their thinking logically in both written and verbal form. The mathematics program will also provide opportunities for students to value mathematics, to become more confident in their abilities, and to see mathematics as a tool for solving problems involving real world applications. The mathematics department has designed courses suitable for students of all levels of skill and background so that any student could complete four math courses. See the sequence of courses listed below for more information. Students are encouraged to take as many math classes as possible. Increasingly more college majors require math courses at the college level, and increasingly more technical jobs require stronger mathematical and problem-solving skills. To adequately prepare students for the state mandated tests in mathematics, it is highly recommended that all students own a TI-84 graphing calculator. Students in honors courses should receive a "B" or higher before proceeding to the next honors course. Math teachers will recommend the particular course best suited for the student’s ability based on the present year’s performance.

RT 5993 Algebra Analysis ½ credit Fee: None Grade 9 Algebra Analysis is a course in our Response to Intervention program, RtI, to insure our students have a positive and rewarding high school experience. RtI is a program that uses data to identify students who need support in basic educational areas. It is our goal to strengthen the academic skills of our incoming freshmen in order to make their high school years as rewarding and fulfilling as possible. This class will run every other day alternating between math instruction and a study hall on an O/B day schedule. Math instruction will be designed to build on the students basic skills while front loading for the next day’s lesson. By participating in this program, your student will earn one half elective credit for the year. Please note that this credit cannot be used toward the graduation requirement for math. It is an elective credit.

0204 Algebra I - Required 1 credit Prerequisite: None Grade 8-9 This course includes the continued study of algebraic concepts from the grades K-8 curriculum and their applications. As the first course in the high school core curriculum in mathematics, the program will be composed of various strands from the curriculum with the intention that the students will perceive the importance of deductive reasoning and will understand and communicate using appropriate mathematical terminology. The completion of homework is mandatory to achieve success. The TI84 Plus calculator is highly recommended and beneficial for course material but also standardized testing and college preparation. Course content includes: 1. Working with Real Numbers and Properties associated with them 2. Writing, Solving, graphing, and analyzing: linear, quadratic, absolute value, exponential and other equations and inequalities 3. Percent, ratios, and proportions 4. Operations on Polynomials 5. Using Factor, Inverse Operations, Quadratic Formula, and Complete the Square to solve quadratic equations 6. Radical expressions 7. Functions and graphs 8. Writing, Solving, and Graphing Systems of equations and inequalities 9. Analyzing and solving word problems 10. Properties of exponents and Applications 11. Problem Solving 12. Statistics 13. Review and Practice Standardized Test Materials

0214 Geometry - Required 1 credit Prerequisite: Algebra I Grades 9-10 This is a regular geometry course designed for those students who have completed the requirements in Algebra I. It is the second high school mathematics course in the core curriculum and interrelates topics from other strands of the curriculum with emphasis on solid and Euclidean plane geometry, Algebra I topics are revisited continually to review Algebra I skills. Course content includes: 1. Using segments, lines, rays, angles, and planes 2. Introduction to proof, both direct and indirect 3. Use of parallel lines and planes 4. Congruent triangles 5. Quadrilaterals and their properties 6. Similar polygons and triangles 7. Right triangles and trigonometric ratios 8. Circles and their arcs, tangents, chords, secants, and inscribed angles 9. Constructions 10. Area and perimeter of polygons 11. Surface area and volume of three-dimensional figures 12. Use of coordinate geometry 13. Review and Practice Standardized Test Materials

0215 Honors Geometry - Required 1 credit Prerequisite: Algebra I Grades 9-10 This course is designed for those students who have completed requirements of a course in Algebra I Honors or its equivalent. It is the second mathematics course in the core curriculum. It covers the same topics as Geometry 0214 but in much greater depth and at a faster rate. It is approximately 30 percent more comprehensive and difficult than the regular geometry course and places more emphasis on proof than the regular geometry course. It is recommended that students who take this course have an A average in Algebra I. Course content includes: 1. Congruence 2. Similarity 3. Right triangles 4. Trigonometry 5. Circles 6. Geometric measurement and dimension 7. Probability 8. Geometric Proof 9. Review and Practice Standardized Test Materials

0230 Algebra II A - Required 1 credit Prerequisite: Algebra I and Geometry Grade 11 This course is a review of Algebra I and Geometry skills as well as an introduction to selected Algebra II topics. It is designed to improve the mathematics ability of high school students who are not adequately prepared for Algebra II or entry-level college mathematics courses. Course content includes: 1. Real number properties and calculations (student-owned calculator) 2. Linear equations and inequalities in 1 and 2 variables 3. Polynomials and factoring 4. Rational expressions 5. Radicals and exponents 6. Graphing 7. Quadratic equations and inequalities 8. Probability combinations and permutations 9. Review and Practice Standardized Test Materials

0233 Algebra II B – Required 1 credit Prerequisite: Algebra II A Grade 12 This is the fourth course in the high school core curriculum in mathematics. It extends many of the ideas of Algebra I, Geometry and Intermediate Algebra introduces many new topics that develop greater mathematics maturity to provide the student with the tools needed later in mathematics. It is designed to improve the mathematics ability of high school students who are not adequately prepared for Algebra II or entry-level college mathematics courses. Course content includes: 1. Polynomial functions 2. Rational polynomial expressions 3. Review and Practice Standardized Test Material 4. Logarithms 5. Transformations 6. Statistics Additional topics may include 1. Trigonometric Functions 2. Sequence and Series 3. Matrices 4. Conic Sections

0224 Algebra II - Required 1 credit Prerequisite: Algebra I and Geometry Grades 10-11 This is the third course in the high school core curriculum in mathematics and is strongly suggested for students who are following a college preparatory course. It extends many of the ideas of Algebra I and Geometry and introduces many new topics that develop greater mathematical maturity to provide the student with the "tools" needed in later mathematics. The TI84 Plus graphing calculator will be used when appropriate in this class. Course content includes: 1. Equations and inequalities 2. Linear relations and functions 3. Systems of equations and inequalities 4. Operations on polynomials and radical expressions 5. Irrational and complex numbers 6. Quadratic equations, relations, and functions 7. Polynomial functions 8. Rational polynomial expressions 9. Review and Practice Standardized Test Materials 10. Trigonometric Functions 11. Logarithms 12. Transformations 13. Series and Patterns 14. Statistics

0225 Honors Algebra II - Required 1 credit Prerequisite: Honors Geometry Grades 10-11 This is the third course in the high school honors curriculum in mathematics. It extends many of the ideas of Algebra I Honors and Geometry Honors and introduces many new topics with emphasis on calculation theory and abstract reasoning. The program will be composed of other strands in the curriculum with the intention that students will perceive the importance of deductive reasoning and appreciate the need for precision of its language. This course covers many of the same topics as Algebra II 0224 but in much greater depth. It is recommended that students have at least a “B” average in Honors Algebra I and Honors Geometry before taking this course. The computer and graphing calculator will be used when appropriate in this class. The course content includes: 1. Solving equations and review of essentials 2. Linear functions and relations 3. Systems of linear equations and inequalities 4. Polynomial and rational expressions 5. Radicals and irrational numbers 6. Polynomial functions 7. Quadratic relations and systems; conics 8. Exponents and logarithms 9. Data Analysis 10. Transformations 11. Sequences and Series 12. Review and Practice Standardized Test Materials 13. Trigonometric functions on the unit circle 14. Statistics and probability

0251 Introduction to Precalculus - Required 1 credit Prerequisite: Algebra II and teacher recommendation Grade 11-12 The purpose of this course is to enhance and extend the Algebra II background of a student before taking Precalculus or college mathematics. It will strengthen working mathematical knowledge of algebra skills and use of a graphing calculator necessary to be successful in higher level math classes. It will include review and extension of selected Algebra II topics, and will cover selected topics normally found in a Precalculus course. The TI-83 Plus and TI84 Plus calculators are highly recommended and beneficial for course material but also standardized testing and college preparation. Course content will include, but may not be limited to, the following: 1. Polynomial functions, including factoring and complex numbers 2. Rational and radical functions, including domain

3. Solving linear, polynomial, rational, absolute value, and radical equations and inequalities 4. Solving systems of linear equations and inequalities 5. Function composition, including inverses 6. Transformation of functions 7. Exponential and logarithmic functions 8. Right triangle trigonometry 9. Trigonometric functions, including the unit circle and graphs 10. Descriptive statistics, including sampling 11. Confidence intervals and hypothesis testing.

CCP0234 College Credit Plus Precalculus - Required 1 credit Prerequisite: Algebra II or Honors Algebra II Grades 11-12 College Entrance Requirements: Match ACT of 22+ / Accuplacer score of 55+ and college application College Credit: Stark State College – MTH135A/B “Precalculus A/B”–5 college credits This is a college credit bearing fourth-year mathematics course with emphasis on the study of functions. Graphing Calculators are highly recommended. The computer, calculator, and graphing calculator will be used when appropriate in this class. The TI-83 Plus and TI-84 Plus calculators are beneficial for course material but also standardized testing and college preparation. The graphing calculator will be used as an aid and enhancement device in the study of the topics listed below. Course content includes: 1. Linear and quadratic functions 2. Polynomial functions 3. Inequalities in one or two variables 4. Operations on functions 5. Exponential and logarithmic functions 6. Analytic geometry and conics 7. Trigonometric functions, equations, applications, and formulas 8. Polar coordinates and complex numbers 9. Vectors 10. Sequences and series 11. Matrices and Determinants

CCP0235 Honors College Credit Plus Precalculus – Required 1 credit Prerequisite: Algebra II Honors Grades 11-12 College Entrance Requirements: Match ACT of 22+ / Accuplacer score of 55+ and college application College Credit: Stark State College – MTH135A/B “Precalculus A/B” –5 college credits This course is intended for those students who have been successful in the honors mathematics program through Algebra II with a solid "B" average. The course is taken during a student's junior or senior year and prepares the student for calculus in college or either Calculus Honors or A.P. Calculus in high school. The course is more comprehensive in scope and approximately 30 percent more difficult than the regular Precalculus course. The computer, calculator, and graphing calculator will be used when appropriate in this class. Graphing Calculators are highly recommended. The TI-83 Plus and TI-84 Plus calculators are beneficial for course material but also standardized testing and college preparation. Course content includes: 1. Linear and quadratic functions 2. Polynomial functions 3. Inequalities in one or two variables 4. Operations on functions 5. Exponential and logarithmic functions 6. Analytic geometry and conics 7. Trigonometric functions, equations, applications, and formulas 8. Polar coordinates and complex numbers 9. Vectors 10. Sequences and series 11. Matrices and Determinants 12. Limits, series, and iterated functions

0245 Honors Calculus – Elective – 5th Math Course 1 credit Prerequisite: CCP Precalculus or Honors CCP Precalculus Grade 12 This course is intended for students who have completed College Credit Plus Precalculus with at least a “B” average and are intending to take college level mathematics. In addition to more work on selected Precalculus topics, the course covers at least one semester of college calculus, including differential and integral calculus. The course is not intended for students interested in taking the Advanced Placement Calculus test. The computer and graphing calculator will be used when appropriate in this class. The TI-83 Plus and TI-84 Plus calculators are beneficial for course material but also standardized testing and college preparation. Course content includes: 1. Study of limits 2. Rules for calculating derivatives, including chain rule 3. Derivatives of trigonometric functions 4. Related rates 5. Implicit differentiation and higher order derivatives 6. Applications of the derivative, including curve sketching, Mean Value Theorem, and optimization 7. Antiderivatives 8. Definite integral and area 9. Applications of the definite integral 10. Logarithmic and exponential functions

0246 Advanced Placement Calculus – Elective -5th Math Course 1 credit Prerequisite: Honors CCP Precalculus Grade 12 Fee: Approximately $93.00 for the required AP exam Summer work is required This course is designed for those students who had Algebra I in grade eight and have completed the high school honors mathematics program in Geometry, Algebra II, and Precalculus. Students should have had an average of 90% or higher in Honors CCP Precalculus to enroll in this course. The course is very demanding and is equivalent to college-level engineering Calculus I and part of Calculus II. It includes all of the topics listed in the AP Calculus course description book as well as additional topics, which students may need for successive college calculus courses. Students who do well in the course and on the Advanced Placement Examination given by the College Board in May could receive college credit for calculus. The computer, calculator, and graphing calculator will be used when appropriate in this class. A graphing calculator is highly recommended as portions of the AP Exam require a graphing calculator.

0253 Advanced Placement Statistics – Elective - 5th Math Course 1 credit Pre/Co-Requisite: CCP Precalculus or Honors CCP Precalculus Grades 11-12 Fee: Approximately $93.00 for the required AP exam Summer work is required This course utilizes a college-level text and is equivalent to a first-year college course in elementary statistics. It is designed for students who are interested in preparing for the Advanced Placement Statistics Test. The text uses exploratory analysis of data making use of graphical and numerical techniques to study patterns and departures from patterns. Emphasis will be placed on interpreting information from graphical and numerical displays and summaries. The class will emphasize statistical thinking and foster active learning through activities and simulations. Students are required to complete a variety of projects and numerous assignments outside of class. Topics covered include the exploration of data, sampling and experimentation, exploring random phenomena using probability and simulations, and statistical inference. Students who do well in the course and on the Advanced Placement Examination given by the College Board in May could receive college credit for Statistics.