Grade: 9
One Semester, 1 credit

This course is for students taking Algebra 1 over two semesters.  The purpose of this course is to give students the first part of the Algebra 1 class. A full credit will be earned. This course deepens and extends understanding from the middle grades of linear relationships, including graphing, writing and interpreting linear functions. Students apply linear models to data that exhibit a linear trend. Students engage in methods for analyzing, solving, and using linear functions. Students analyze and explain the process of solving one and two variable equations. Write and solve systems of linear equations and inequalities. (NCAA will only count Algebra 1A - Algebra 1B as one total credit.)

NOTE: Placement into this course may change to a different Algebra 1 course after consultation between the PMS and PHS Math Departments, the PMS and PHS Guidance Departments, and a review of prior testing data.

Grade: 9
One Semester, 1 credit
   
This course completes the Algebra 1 curriculum In addition to spiral reviews to material learned in Part A, Students will focus on exponential functions, operations with radicals, polynomials, factoring, quadratic equations, and statistics. Students compare the key characteristics of quadratic functions to those of linear and exponential functions. Students will earn one math credit for this course and one math credit for the previous course, Algebra 1A. (NCAA will only count Algebra 1A - Algebra 1B as one total credit.)

Note: Placement into this course may change to a different Algebra 1 course after consultation between the PMS and PHS Math Departments, the PMS and PHS Guidance Departments, and a review of prior testing data.

Grade: 9
One Semester, 1 credit

The critical areas deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. Students will experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. In addition, any end-of-course exam will be administered as part of the Ohio Department of Education graduation requirements. 

• Students analyze and explain the process of solving an equation. 
• Students explore many examples of functions, including sequences. Students use regression techniques to describe approximate linear relationships between quantities. 
• Students extend the laws of exponents to rational exponents. 
• Students compare the key characteristics of quadratic functions to those of linear and exponential functions. 

Note: Placement into this course may change to a different Algebra 1 course after consultation between the PMS and PHS Math Departments, the PMS and PHS Guidance Departments, and a review of prior testing data.

Grade: 9
One Semester, 1 credit

The Honors Algebra 1 course has been designed to be fast paced and rigorous so students will be prepared for an Honors Algebra 2 class subsequently. The Honors Algebra 1 course begins with connections back to that earlier work, efficiently reviewing and extending algebraic concepts that students have already studied while at the same time introducing more advanced topics in the high school standards. Students construct exponential and linear functions as they explore exponential models using the familiar tools of tables, graphs, and symbols. Finally, they apply these same tools to a study of quadratic functions. In addition, an end-of-course exam will be administered as part of the Ohio Department of Education graduation requirements.

Grade: 9
One Semester, 1 credit                      

Algebra 2 builds upon the concepts presented in Algebra 1. Topics include linear systems and quadratic, exponential, logarithmic, polynomial, rational functions. Emphasis is placed on practical applications and modeling. Students are encouraged to purchase and use a TI-84 Plus or Silver graphing calculator for instruction and assessment. Algebra II is designed to provide the foundation for both higher education and technical school bound students, such as nursing, trade schools, and certification-based careers. This course is preferably taken prior to Geometry. 

• Students develop the structural similarities between the system of polynomials and the system of integers.
• Students will solve exponential equations with logarithms.
• Students explore the effects of transformations on graphs of diverse functions.
• Students will identify and use appropriate functions to model a situation.

Grades: 9-10-11-12
One Semester, 1 credit weighted

Honors Algebra 2 builds upon the concepts presented in Algebra 1. Topics include linear systems and quadratic, exponential, logarithmic, polynomial, rational functions. Emphasis is placed on practical applications and modeling. Students are encouraged to purchase and use a TI-84 Plus or Silver graphing calculator for instruction and assessment. Honors Algebra II provides the background for more advanced math courses including AP Calculus, and is especially designed for the college bound student. Honors Algebra 2 is the prerequisite for taking Honors Trigonometry. In an honors course, a student will be challenged at a higher cognitive level and the material will be covered in greater depth. 

• Students develop the structural similarities between the system of polynomials and the system of integers. 
• Students will solve exponential equations with logarithms. 
• Students explore the effects of transformations on graphs of diverse functions. 
• Students will identify and use appropriate functions to model a situation.

Formerly Mathematical Modeling & Reasoning
Grades: 10-11-12
One Semester, 1 credit

The Advanced Quantitative Reasoning course is an advanced quantitative reasoning course. Quantitative Reasoning is the application of basic mathematics skills, such as Algebra, to the analysis and interpretation of quantitative information (numbers and units) in real-world contexts to make decisions relevant to daily life. Critical thinking is its primary objective and outcome. It emphasizes interpretation, representation, calculation, analysis/synthesis, assumptions and communication.

The Advanced Quantitative Reasoning course is designed to promote reasoning, problem-solving and modeling through thematic units focused on mathematical practices, while reinforcing and extending content in Number and Quantity, Algebra, Functions, Statistics and Probability, and Geometry.

Grades: 9-10-11-12
One Semester, 1 credit

The fundamental purpose of the course in Geometry is to formalize and extend students’ geometric experiences from the middle grades.  Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments.  In addition, any end-of-course exam will be administered as part of the Ohio Department of Education graduation requirements.

• Students use triangle congruence as a familiar foundation for the development of formal proof.
• Students will develop and use the Pythagorean Theorem and right triangle trigonometry.
• Students apply their knowledge of two-dimensional shapes to consider the shapes of cross-sections and the results of rotating a two-dimensional object.
• Students use a rectangular coordinate system to verify geometric relationships.
• Students will prove basic theorems about circles and graph the equation of a circle.
• Students use the languages of set theory to expand their ability to compute and interpret theoretical experimental probability for compound events.

Grades: 9-10-11-12
One Semester, 1 credit weighted

This course involves the study of formulas, properties, and theorems associated with both plane and solid geometry.  Knowledge of these properties, as well as the ability to reason deductively is heavily emphasized with the application of direct proofs. Connections between Algebra processes and the properties of Geometric figures are examined.  Honors geometry provides the background for more advanced math courses, including AP calculus. In an honors course, a student will be challenged at a higher cognitive level and the material will be covered in greater depth.  In addition, any end-of-course exam will be administered as part of the Ohio Department of Education graduation requirements.

• Students use triangle congruence as a familiar foundation for the development of formal proof.
• Students will develop and use the Pythagorean Theorem, right triangle trigonometry, Law of Sines and Law of Cosines.
• Students apply their knowledge of two-dimensional shapes to consider the shapes of cross-sections and the results of rotating a two-dimensional object.
• Students use a rectangular coordinate system to verify geometric relationships.
• Students will prove basic theorems about circles and graph the equation of a circle.
• Students use the languages of set theory to expand their ability to compute and interpret theoretical experimental probability for compound events.  

Grades: 10-11-12
One Semester, 1 credit

IDS uses a project-based learning approach to provide students with an introduction to statistics and data science. Students will learn to reason with and think critically about data in all forms.  The course offers students an opportunity to have hands-on experience exploring engaging real world issues involving data. Students combine problem solving and reasoning skills with statistics and modeling to analyze big data to find patterns and communicate meaning in data.  Gain in-demand analytics skills and open doors to your future by having a hands-on research project based learning experience with SAS technology.  It is appropriate for students with limited or no prior statistics, data analytics and programming knowledge. This course satisfies a credit toward mathematics’ graduation requirements and satisfies the requirement of an Algebra 2 equivalent course.  This course will prepare students to enter directly into a credit-bearing math course at the post-secondary level or go directly into a career field. 

Grades: 10-11-12
One Semester, 1 credit

This course is designed to provide students with an introduction to statistics: the science of collecting, organizing and interpreting data. While Statistics is offered as a mathematics course, students will examine data from science, sports, business, industry, education, and the social sciences. The course offers students an opportunity to work with real data from current newspapers, magazines, and other publications and to search their own conclusions as they examine the data. Students are expected to have a TI-83/TI-84 Plus or Silver graphing calculator for use in the classroom and on tests (students can bring their own or sign one out through the school).

Grades: 10-11-12
One Semester, 1 credit weighted

AP statistics is a course in which students interpret graphical displays of distributions, summarize distributions, compare distributions, and explore bivariate data.  Students study methods for collecting data and for planning and conducting surveys and experiments.  Probability is explored through simulations, probability rules, random variables, normal distributions, binomial distributions, geometric distributions, and the Central Limit Theorem.  Statistical inference is studied through confidence intervals for means and proportions and through tests of significance.  Students will take the AP exam in May.  Most 4-year degrees require that at least one Statistics course be taken.  Students are expected to register and participate in the Advanced Placement Examination for this course. Perry Local Schools will pay for exam fees.

Grades: 9-10-11-12
One Semester, 1 credit weighted

Honors Trigonometry is designed for students to acquire a strong foundation of mathematics as a prelude to Calculus.  Topics include a comprehensive study of functions, trigonometry, conics, parametric and polar equations and an introduction of vectors.  Honors Trigonometry provides the background for future math courses, including AP Calculus AB and BC, and is especially designed for college-bound students.  In an honors course, a student will be challenged at a higher cognitive level and the material will be covered in greater depth.  Students are required to utilize a TI-graphing calculator for instruction and assessment.  This course is the prerequisite for Honors Applied Calculus.

Grades: 9-10-11-12
One Semester, 1 credit weighted

Honors Applied Calculus is an intuitive introduction to the principal ideas of differential and integral calculus. Emphasis will be placed upon the use of calculus in solving problems from areas including business, economics, and the social and natural sciences.  It does not include trigonometry or advanced algebra, which are studied in Calculus AB and BC.  Students are required to utilize a TI-graphing calculator for instruction and assessment.  Honors Applied Calculus is a prerequisite for AP Calculus AB and BC.

Grades: 10-11-12
One Semester, 1 credit weighted
   
AP Calculus AB is a college preparatory course for students who plan on majoring in the study of mathematics, sciences, or related engineering fields at the post-secondary level. Topics will include analytic geometry, limits, differentiation, and integration as specified in the syllabus for AP Calculus at the AB level. The emphasis will be on the theory behind the procedures presented in Applied Calculus and in preparation for the AP examination in the spring. Students are expected to have a TI-84Plus or Silver graphing calculator for use in the classroom and on exams. Students are expected to register and participate in the Advanced Placement Examination for this course.  Perry Local Schools will pay for exam fees.

Grades: 10-11-12
One Semester, 1 credit weighted

AP Calculus BC is a college preparatory course for students who plan on majoring in the study of mathematics, sciences, or related engineering fields at the post-secondary level.  AP Calculus BC is a continuation of AP Calculus AB.   Upon completion of both classes, students will have completed the equivalent of two semesters of college calculus.  Topics include limits, differential and integral calculus, trigonometric and logarithmic functions, infinite series, hyperbolic functions, and differential equations.  Students are expected to have a TI-84Plus or Silver graphing calculator for use in the classroom and on exams.  Students are expected to register and participate in the Advanced Placement Examination for this course.  Perry Local Schools will pay for exam fees.