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Mathematics at VIA is student-centered to help nurture the growth of student knowledge, problem solving strategies, and critical thinking skills. Through inquiry and discovery methodology, students are taught to understand mathematics and apply mathematical thinking and procedures to their everyday lives. At all levels of instruction, the importance of mathematics in the real world is enriched through the development of mathematical interpretation and argument, applications in other disciplines, the numerical and visual analysis of problems and solutions, and the use of the graphing calculator and other essential technology.
Pre-Algebra
This course offers an introduction to Algebra, incorporating word and logic and mathematical applications to science. While students develop mastery of essential mathematical concepts such as fractions, proportions, decimals, percents, scientific notation, prime factorization, and geometry. With challenging word problems, this course presents basic algebra concepts in a rigorous but exciting manner. It includes math activities, which encourage students to learn the importance of accuracy in a rewarding entrepreneurial environment, such as campus store management. The students participate in math/science projects and contests throughout the year. This course allows students to develop a wider and more realistic perspective, which cultivates their keen math knowledge for their future.
Algebra I
Algebra I provides the foundation for all future math courses. The course instruction models real-world situations to stimulate greater student interest and support students in developing the fundamentals of mathematics. Topics include Properties of Real Numbers, Linear and Quadratics Equations and Functions (graphing, writing, and solving), Systems of Linear Equations and Inequalities, Exponents and Exponential Functions, Polynomials and Factoring, Rational Equations and Functions, Radicals, Connections to Geometry.
Geometry
Prerequisites: Algebra I
Euclidean geometry is the common in most, if not all, high school geometry courses. In geometry, students will develop strong critical thinking skills through logic, mathematical interpretation and problem solving, and making connections to geometric concepts. Topics include: Reasoning and Proof, Properties and Congruencies of Triangles, Quadrilaterals, Transformations, Similarity, Right Triangles and Trigonometry, Circles, Area of Polygons and Circles, Surface Area and Volume.
Algebra II
Prerequisites: Algebra I and Geometry
Algebra II with an emphasis in trigonometry is a college-level course that provides students with a solid foundation of method and application for more advanced courses. Students will develop higher-level algebraic skills through reading comprehension, problem solving, and the use of functions. Topics include Linear Equations and Functions, Systems of Linear Equations and Inequalities, Matrices and Determinants, Quadratic Functions, Polynomials and Polynomial Functions, Powers, Roots, Radicals, Exponential and Logarithmic Functions, Rational Equations and Functions, Quadratic Relations and Conic Sections, Sequences and Series, and Trigonometric Ratios, Functions, Graphs, Identities, and Equations..
Trigonometry/Pre-Calculus
Prerequisites: Algebra II
Trigonometry/Pre-Calculus provides students with an in-depth review and enriching mathematical experience. This course builds on familiar topics from previous math courses and broadens to a pre-calculus level of comprehension. Topics include: Functions, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions of Real Numbers, Trigonometric Functions of Angles, Analytic Trigonometry, Polar Coordinates and Vectors, Systems of Equations and Inequalities, Analytic Geometry, Sequences and Series, Limits.
Advanced Placement (AP) Calculus AB
Prerequisites: Trigonometry/Pre-Calculus and Teacher Recommendation
AP Calculus AB is equivalent to a college-level Calculus I course. In this course, students will solidify their analytical skills to use in real-world applications and prepare for the College Board AP Exam. Students who complete the course and earn satisfactory grades on the AP exam may be awarded college credit. Topics include: Limits, Derivatives, Applications of Differentiation, Integrals, Applications of Integration, Transcendental Functions.
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