• Math Course Descriptions

     

    In grades 9 - 12, students extend their understanding and proficiency in a variety of areas of mathematics including Advanced Algebra, Trigonometry, Discrete Math, Statistics, Pre-calculus and Calculus. All courses are approached through a VNAG approach: Numerical, Analytical, and Graphical with additional emphasis on Verbal and Writing communication skills. Technology is an integral part of the mathematics curriculum. Students are immersed in a wide range of mathematical concepts and processes in preparation for college level mathematics. Assessment is based on student understanding of mathematics concepts over problem solving. All mathematics courses offered at the Scholars Academy are designated as Honors or Advanced Placement. All students in AP courses must take an exam administered by the College Board. High performance on AP exams may result in college credit or advanced placement. The Scholars Academy offers AP Calculus AB and AP Calculus BC as well as AP Statistics.

     

    Geometry Honors (Online)

    This course is the mathematical study of shapes, their properties, and their relationships. The course competencies meet the state geometry standards. Emphasis is placed on student exploration and on formulating and defending conjectures. At the honors level, students are also expected to construct formal proofs of geometric principles. This course is designed to prepare students for further mathematical study.

     

    Algebra 2 Honors

    This course contains an in-depth study of functions, patterns, relations, and concepts of number systems. This includes linear, quadratic, radical, exponential, absolute value, and radical functions. This honors level course also includes a study of logarithmic and polynomial functions. A graphic calculator is required for instruction and assessment. This course prepares students for further mathematical study in Pre-Calculus Honors.

     

    Algebra 3 Honors

    This course is designed as a bridge between Algebra 2 and Pre-Calculus. It focuses on developing the student’s ability to understand and apply the study of functions and advanced mathematics concepts to solve problems. The course includes a study of polynomial, rational, exponential, logarithmic, and trigonometric functions. Emphasis is on active participation through modeling, group activities, and communication in mathematics. Students are expected to use technology, including graphic calculators throughout the course.

     

    Precalculus Honors

    This course focuses on the development of students’ abilities to understand and apply the study of functions and advanced mathematical concepts to solve problems. Topics include polynomial, rational, exponential, logarithmic, and trigonometric functions. Other topics are sequences, series, vectors, conic sections, parametric equations, and polar equations. Emphasis is on activities, participation through modeling, group activities, and communication in mathematics. This course is designed to prepare students for further mathematical study in AP Calculus.

     

    AP Calculus AB

    This course follows the curriculum prescribed by the College Board and is intended for students who have a sophisticated knowledge of mathematics. It is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. This course requires students to use definitions and theorems to build arguments and justify conclusions. Students are required to take the AP Calculus Examination in May from which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Topics covered include functions, graphs, limits, derivatives and their uses, and integration. Topics will be addressed through the use of technology as well as analytically, numerically, verbally, and graphically. Students are required to have a graphing calculator. 

     

    AP Calculus BC  

    This course provides a study of elementary functions and two semesters of college calculus. Course content corresponds to the syllabus established by the College Board Advanced Placement Program. Students are required to take the AP Calculus Examination in May from which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Students will receive a BC score and an AB subscore. Topics included in the curriculum are limits and their properties, modeling and regression, differentiation, applications of differentiation including related rates, optimization, and curve sketching, integration, applications of integration including area, volume, work, and force, logarithmic differentiation, differential equations, trigonometric integrals, inverse trig functions differentiation and integration, integration by parts, partial fractions, improper integrals, sequences and series including Taylor polynomials and power series, polar area. Students are required to have a graphing calculator.

     

    AP Statistics

    (Prerequisite: Algebra 2 Honors or Pre-calculus Honors and Teacher Recommendation)

    This college-level Advanced Placement course in Statistics will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students study four broad conceptual themes: exploring data: observing patterns and departures from patterns; planning a study: deciding what and how to measure; anticipating patterns: producing models using probability and simulation; and statistical inference: confirming models.

    Students who complete the course and Advanced Placement Examination may receive credit and/or advanced placement for a one-semester introductory college statistics course if a qualifying score is obtained on the AP Exam given in May. Content of this college-level course corresponds to the syllabus of the College Board Advanced Placement Program. To enroll in this class, students must have completed Algebra 2 Honors or Precalculus Honors and have their teacher’s recommendation.