Math Course Descriptions
In grades 9 - 12, students extend their understandingand proficiency in a variety of areas of mathematics including Advanced Algebra, Trigonometry, Discrete Math, Statistics, Precalculus 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.
Students will investigate in great depth the basic structure of geometry by exploring deductive reasoning through proof and problem solving, developing powers of spatial visualization, building knowledge of the relationships among geometric elements, developing precision of mathematical language and strengthening algebra skills. Geometry concepts studied include parallel and perpendicular lines, congruent and similar triangles, quadrilaterals, transformations, right triangles and trigonometry, circles, area, and volume. Geometer’s Sketchpad and graphing calculators are an important part of the Geometry curriculum.
Algebra 2, Honors
Topics to be studied in great depth include the study of linear and quadratic equations, polynomials, complex numbers, relations and functions including exponential and logarithmic functions, the study of graphs in two and three dimensions, units on trigonometry, sequences and series, and vectors. This course requires the use of a graphing calculator.
Algebra 3/Precalculus, Honors
First semester students explore topics from Advanced Algebra 3. This involves an analysis of rational functions, limits, polynomial functions, systems of equations and inequalities, conic sections, linear and quadratic functions, exponential and logarithmic functions, and radical functions. Second semester students continue the study of functions through Precalculus Honors. This content includes trigonometry (right triangle trig, oblique triangles, formulas for calculus), sequences and series, polar coordinates, vectors, and parametric equations are included in the course content. This course requires the use of a graphing calculator. This course is designed to prepare students for AP Calculus.
Calculus AB Advanced Placement/Calculus AB Seminar
The purpose of this course is to provide a study of elementary functions and introductory college calculus. Course content corresponds to the syllabus established by the College Board Advanced Placement Program and equates to 1.5 semesters of college calculus. 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. All students are concurrently enrolled in the Calculus Seminar (honors weight) concurrently with this course. Topics of study include primary functions including polynomial and rational functions, trigonometric, exponential, and logarithmic functions, units, derivatives, applications of differentiation, and basic integration. Students are required to have a graphing calculator.
Calculus BC Advanced Placement
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 sub-score. 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 complete the AB topics in the fall and BC topics in the spring. Students are required to have a graphing calculator.
Statistics Advanced Placement (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:
1. Exploring Data: observing patterns and departures from patterns2. Planning a Study: deciding what and how to measure
3. Anticipating Patterns: producing models using probability and simulation4. 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.