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Salem Academy Mathematics Curriculum

Students applying to a UNC system university must complete one course considered “above” Algebra II.  Honors Computer Science Principles does not meet this requirement.


 

Algebra I                Grade 9                Year-long course

Algebra I is a required course usually taken in the ninth grade. This first course in algebra helps students develop an understanding of the properties of the real number system and basic algebraic concepts. Algebra I is an introduction to algebraic concepts including directed numbers; simplifying expressions; factoring; solving linear, quadratic, radical, and fractional equations; operations with exponents, radicals, and rational expressions; inequalities; linear systems; and techniques of graphing.

 

 

Geometry                Grades 9, 10                Year-long course

A required course that follows Algebra I, Geometry is an introduction to geometric concepts and reasoning through formal proof and informal investigation and discovery. Students learn to visualize and analyze geometric relationships in two and three dimensions and to develop inductive and deductive reasoning skills. The course also fosters an appreciation for the structure of mathematics; it uses examples of various geometric designs, structures, and architecture from around the world. Topics covered include deductive reasoning, properties of angles, parallel lines and planes, congruent triangles, similar polygons, right triangle relationships, circles, areas and volumes, and coordinate geometry.


 

Algebra II/Honors Algebra II     Grades 9, 10, 11            Year-long course

A required course that follows Geometry, Algebra II is a continuation of the study of algebraic concepts including a study of linear, quadratic, rational, and polynomial functions; systems of equations; complex numbers, conics, and right trigonometry. The Honors section is an accelerated course with an emphasis on independent learning and problem-solving. Honors students complete all previously mentioned topics as well as an introduction to right and circular trigonometry and statistics. Additionally, students apply their mathematical talent through various projects. Prerequisites include successful completion of Algebra I and Geometry as well as a recommendation from a current math teacher.

 

Pre-Calculus                Grades 9, 10, 11, 12            Year-long course

In this course, students will complete a review of algebra skills as well as extensive work with functions and their graphs, analysis of graphs, conics, solving systems of equations, trigonometry, and probability.  Students will also be introduced to limits. Technology is used for exploration, instruction, and assessment. Algebra II is a prerequisite for this course.

 

Honors Pre-Calculus            Grades 10, 11, 12            Year-long course

Honors Pre-Calculus includes an in-depth study of advanced functions, analytic geometry, trigonometry and data analysis. Topics covered include analysis of function families, trigonometry (triangular and circular), applications of functions and trigonometry as well as polar relations and introductory Calculus concepts. Technology is used for exploration, instruction, and assessment. Sequences, series, and vector concepts are covered when time permits. This course is designed for students who plan to take advanced mathematics courses and who have a strong algebra background, since there is not an extensive review of Algebra II. Prerequisites include successful completion of Algebra ll or Honors Algebra II and recommendation from a current teacher.

 

 

 

Honors Computer Science Principles    Grades 11, 12                 Year-long course

Honors Computer Science Principles introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. This course goes beyond an introduction to programming by exploring foundational ideas of computing so that all students understand computing concepts and how technology use is transforming the world we live in. As part of this course, students will examine the use of computers and technology in an area of personal interest. Major topics covered include: the Internet, Digital Information, Introductory Programming, Data and Privacy, and Building Apps.

 

AP Statistics                 Grades 11, 12            Year-long course

AP Statistics is a year-long course offering college credit through the Advanced Placement testing program. The purpose of the AP Statistics course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. This rigorous course covers data analysis, experimental design, probability theory, and statistical inference. The focus is on understanding, building concepts as a foundation for the practice of statistics.  This course regularly incorporates real-life applications of actual data collected from current polls, studies, and experiments from around the world, thus increasing students’ global awareness and motivation to learn. Prerequisites include successful completion of Algebra lI and a recommendation from a current math teacher.

 

Math 100: Calculus I             Grade 12            Year-long course

Math 100: Calculus I is a course designed to explore the three main concepts of calculus  (limits, derivatives and integrals) as well as applications of these concepts. This course is not designed for those planning to pursue the fields of science, technology, engineering or mathematics. Prerequisites include successful completion of Pre-Calculus or Honors Pre-Calculus and recommendation of the current math teacher.   Enrollment is limited to seniors. Students will receive credit from Salem Academy as well as five credit hours from Salem College. Both semester exams are required of all students. Students may not earn credit for both AP Calculus AB and Math 100: Calculus I.


 

AP Calculus AB            Grades 11, 12                Year-long course

AP Calculus AB is a course which develops the student’s understanding of the concepts of calculus (functions, graphs, limits, derivatives, and integrals) and provides experience with its methods and applications. The course encourages the geometric, numerical, analytical, and verbal expression of concepts, results, and problems. Having successfully completed this course, the student will be prepared to take the AP Calculus AB exam and ready to enter second-semester college calculus. Prerequisites include successful completion of Honors Pre-Calculus and a recommendation from a current math teacher.

 

AP Calculus BC            Grades 11, 12                Year-long course

AP Calculus BC covers convergence tests for sequences and series, Taylor and/or Maclaurin series, parametric, vector, polar functions, and arc length. In addition, L’Hôpital’s rule, improper integrals, inverse trigonometric derivatives, tabular parts integration and the use of partial fractions to integrate rational functions are studied. Students are expected to have a thorough knowledge and strong retention of material covered in previous math courses. Technology, particularly computer algebra systems (CAS), is a key component of the BC course. The consistent use of CAS to explore, interpret, and examine is one way in which the BC course differs from the AB course. Having successfully completed this course, students will be prepared to take the AP Calculus BC exam and enter the third semester of college calculus. Prerequisites include successful completion of AP Calculus AB and a recommendation from a current math teacher.


 

Robotics Team             Grades 9, 10, 11, 12            Year-long course

The Robotics Team course includes instruction and hands-on learning in main areas of study related to engineering design, computer-aided design, 3-D printing, JAVA programming, STEM outreach, and robot creation. When appropriate, outside mentors in the fields of engineering, 3-D printing, and computer programming will assist with course instruction. The ultimate goal of the course is to create a robot to compete in the First Tech Challenge competition.  Interested students can meet with the Robotics Team sponsors for specific course requirements. This course does not count as a math graduation credit and is graded on a Honors/Satisfactory/Unsatisfactory scale. This course may be taken for multiple years.

 

 

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