Port Allegany Jr/Sr High School Counselor

Math

**MATH COURSES**

**Keystone Remedial Algebra ** semester .5 credit

This coruse is designed to help students who did not reach proficiency on the Keystone Exam, but the data supports the student moving on to Geometry. **The student must pass the Algebra Course. At the end of the semester, students will retake the Algebra Keystone Exam.** Students will be identified and placed in this course based on the scores of the Keystone Algebra Exam.

**Algebra Concepts 9** year 1 credit

This course is a follow-up to Mathematics 8 and is designed to prepare students for success on the **Keystone Algebra exam which is a graduation requirement**. The course will focus on a deeper understanding of algebraic concepts including number sense, linear equations/inequalities, and functions. **(Prerequisite: Mathematics 8) (At the end of the course, students will take the Keystone Algebra I exam.)**

**Algebra Concepts 10 **year 1 credit

This course is a continuation of Algebra Concepts 9 designed to prepare students for success on the **Keystone Algebra exam which is a graduation requirement**. The course will focus on a deeper understanding of algebraic concepts including number sense, linear equations/inequalities, and functions. **(Prerequisite: Algebra Concepts 9) (At the end of the course, students will take the Keyston Algebra I exam.)**

**Tech Math II** year 1 credit

This course is designed to prepare a student for challenging technical fields in the future. The course will integrate math topics such as geometry, statistics, logic, trigonometry, and consumer math topics while utilizing prior algebra skills. **(Pre-requisites: Algebra Concepts 10 or Algebra 9 CP)**

**Tech Math III**

Tech Math III is a course designed to prepare a student for challenging technical fields in the future. The course will integrate math topics such as algebra (advanced) topics, geometry, statistics, logic, trigonometry, and consumer math topics while utilizing prior algebra and gemetry skills. **(Pre-requisites: Tech Math II or Geometry)**

**COLLEGE PREPARATORY MATH COURSES**

**Algebra 9 CP**** ** year 1 credit

This course is a follow-up to Algebra I (8-1) sections designed to prepare students for success on the **Keystone Algebra exam which is a graduation requirement**. The course will focus on a deeper understanding of algebraic concepts including number sense, linear equations/inequalities, and functions. **(Prerequisite: Algebra I [8-1] and NOT Proficient/Advanced on Keystone Algebra exam.)**

**Geometry** year 1 credit

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry. Inductive and deductive thinking skills are used in problem solving situations and applications. It also emphasizes writing proofs for properties of geometric figures. **(Prerequisite: Algebra I AND Proficient/Advanced on Keystone Algebra exam) (Students who have successfully completed Geometry and meet the criteria are eligible for the corresponding Honors courses.)**

**Algebra II **year 1 credit

This course is a follow-up to Geometry designed to prepare students for success in advanced algebra. The course will focus on a deeper understanding of algebraic concepts and techniques and techniques including linear equations/inequalities, functions, systems of equations/inequalities, polynomials, matrices, inverse relationships, and complex numbers. **(Prerequisite: Geometry) (Students who have successfully completed Algebra II and meet the criteria are eligible for the corresponding Honors courses.)**

**Pre-Calculus ** year 1 credit

The course will cover those mathematical topics needed for success in higher mathematics. Students will discuss the basic conceptual functions and ideas that pertain to them. They will work with advanced algebraic techniques. **(Prerequisite: Algebra II) (Students who have successfully completed Pre-Calculus are eligible for the corresponding Honors courses and AP Calculus.)**

**Calculus ** year 1 credit

This course, students will explore the four major topics of calculus: limits, continuity, differentiation, and integration. This course will prepare students for the first semester of college calculus. **(Pre-requisite: Pre-Calculus) (Grade 12)**

**AP® Calculus AB ** year 1 credit

AP® Calculus AB is a course designed to prepare students for the AP® Calculus AB exam given by the College Board in May each year. The course will cover all topics of a college-level Calculus I course as outlined in the AP® Calculus AB curriculum. The course is designed to be taught over a full high school academic year. However, some review and preparatory work must be done during the summer months before entering class in the fall. Before studying AP® Calculus AB, all students should complete four years of secondary mathematics designed for college-bound students: courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. **Weighted course. (Prerequisite: Pre-Calculus or Honors Pre-Calculus) *NOTE: In order to possibly qualify for college credit, a student must take and achieve a certain score on the AP exam for the course.***

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**Advanced Math** year 1 credit

Advanced Math is a course designed for students who would like an extra year of advanced algebra instead of calculus. Candidates for this course are students who struggled in Pre-Calculus or those who would like to explore more advanced topics while also taking Calculus. Topics for the course will include review of advanced algebraic techniques, functions, and trigonometry as well as work in the areas of matrices, exponential and logarithmic functions, conic sections, polar coordinates, probability and statistics, sequences and series, and beginning calculus. **(Pre-requisite: Pre-Calculus) Students can obtain college credt through the dual enrollment program. ****(Grade 12)**

**Discrete Math **year 1 credit

This course is designed as an elective that addresses an area of mathematics that previously has just been introduced to students. Students will investigate topics associated with logic and reasoning, set theory and counting, graph theory, and number theory. Students will pursue understanding of statements and arguments, circuits and paths, and use graph theory to model real world problems. **(Grade 12)**