Algebra 1 (Resources):
Course Description
Algebra I provides a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course.
Topics include:
(1) Operations with real numbers
(2) Linear equations and inequalities
(3) Relations and functions
(4) Polynomials
(5) Algebraic fractions
(6) Nonlinear equations
Geometry (Resources):
Course Description
Geometry includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Students will be required to use different technological tools and manipulatives to discover and explain much of the course content.
Topics include:
(1) logic and proof
(2) parallel lines and polygons
(3) perimeter and area analysis
(4) volume and surface area analysis
(5) similarity and congruence
(6) trigonometry
(7) analytic geometry
Algebra 2 (Resources):
Course Description
Algebra II is a course that extends the content of Algebra I and provides further development of the concept of a function. Graphing calculator skills will be taught and used extensively in this course. Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and college entrance exams.
Topics include:
(1) relations, functions, equations and inequalities
(2) quadratic functions and equations
(3) polynomials
(4) algebraic fractions
(5) logarithmic and exponential functions
(6) sequences and series
(7) counting principles and probability
Pre-Calculus (Resources):
Course Description
Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college.
Topics include:
(1) Exponential and Logarithmic Functions
(2) Matrices
(3) Trigonometry
(4) Law of Sines/ Law of Cosines
(5) Vectors
(6) Sequences, Series, Probability
(7) Polynomial and Rational Functions
Calculus (Resources):
Course Description
Calculus is a transition course to upper-division mathematics and computer science courses. Students review and extend their knowledge of trigonometry and basic analytic geometry. Important objectives of the calculus sequence are to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics. In particular, students learn how to apply the tools of calculus to a variety of problem situations.
Topics include:
(1) Limiting behaviors
(2) Difference quotients and the derivative
(3) Riemann sums and the definite integral
(4) Antiderivatives and indefinite integrals
(5) The Fundamental Theorem of Calculus
AP Calculus (Resources):
Course Description
AP Calculus is a challenging, in-depth study of functions, graphs, limits, derivatives, definite integrals, anti-derivatives, and real-world applications of differentiation and anti-differentiation. Students will work with functions graphically, numerically, analytically, and verbally and understand the connections among these representations.
Topics include:
(1) Limits
(2) Derivatives
(3) Applications of derivatives (rates of change, rectilinear motion, related rates, curve-sketching, optimization)
(4) Integrals
(5) Applications of integrals (area, volumes, accumulation of change, differential equations)
(6) Techniques of integration.
Math for College and Career Readiness:
Course Description
Math for College and Career Readiness is a mathematics course for seniors designed to help students transition into their next steps after High School.
Topics include:
(1) Financial Literacy
(2) Budgeting
(3) Planning
(4) Prep for Placement tests
AP Statistics:
Course Description
Descriptive statistics, elements of probability theory, and basic ideas of statistical inference. Areas covered are frequency distributions, measures of central tendency and dispersion, commonly occurring distributions, estimation, and testing of hypotheses.
Topics Include:
(1) Exploring Data: Describing patterns and departures from patterns
(2) Sampling and Experimentation: Planning and conducting a study
(3) Anticipating Patterns: Exploring random phenomena using probability and simulation
(4) Statistical Inference: Estimating population parameters and testing hypotheses
SAT Prep (Resources):
Course Description
SAT Prep is designed to help prepare students for the SAT test. In addition to reviewing the basic mathematical skills assessed on the SAT test, students learn test-taking strategies specific to the exam. Material includes samples with explanations, grading rubrics for peer and self-assessment, practice tests with complete multiple-choice assessments, open-ended questions, and study resources. Independent practice is followed by guided collaborative review. Upon successful completion, students will possess the tools necessary to complete the SAT to the best of their ability.
Financial Literacy:
Course Description
Using project-based instruction and real-world situations this course will give students the knowledge and general understanding of all key aspects of personal finances necessary to be successful now and throughout their adult lives. The structure of this class will reflect real-world situations as closely as possible.
Topics include:
(1) Earning an income
(2) Banking and financial services
(3) Balancing a checkbook
(4) Savings and investing
(5) Understanding state and federal taxes
(6) Understanding interest and credit card debt
(7) Finances and responsibilities of raising a family
(8) Planning for retirement