Math Department

Geometry is a course that uses logic, reasoning, and critical thinking skills in order to reach conclusions. Many postulates, definitions, and theorems are learned.

Topics covered include:

• Points, lines, planes and angles
• Deductive reasoning
• Parallel and perpendicular lines and planes
• Congruent triangles
• Quadrilaterals and other polygons
• Inequalities
• Similar polygons
• Circles
• Constructions and loci
• Areas and perimeters of plane figures
• Areas and volumes of solids
• Coordinate geometry
• Transformations

Math Models is an appllications course with financial emphasis. Students will investigate decision making related to earning, spending, borrowing, and investing money. MMA reinforces skills learned in Algebra 1 and Geometry. It prepares students to be more successful in Algebra 2.

Prerequisites: Algebra 1 & Geometry

Algebra 2 students will build on their knowledge from Algebra 1 to broaden their understanding of quadratic and exponential functions, as well as extend their study of systems of equations. Additional functional relationships, transformations and inverses are explored in this course. This course is required for graduation.

Topics covered include: Variation, quadratic relations, parent functions, logarithms

Prerequisites: Algebra 1 & Geometry

Honors Algebra 2 is a more challenging and rigorous study of algebraic thinking and symbolic reasoning, as well as extensions of the topics listed in the above description. Students are expected to have retained a high percentage of knowledge from previous math courses. Students use multiple representations and precise mathematical language to describe patterns, solve problems, and justify their reasoning.

Topics covered include: Variation, quadratic relations, parent functions, logarithms

Prerequisites: Algebra 1 & Geometry (Recommended that previous courses were honors)

Pre-calculus is the preparation for calculus, whether it is taken in high school or at the college setting. Students are expected to have retained a high percentage of knowledge from previous math courses. Students deepen their mathematical understanding and fluency with algebra and trigonometry.

Topics covered include: Coordinate geometry, polynomials, inequalities, functions, exponents and logarithms, trigonometric functions, identities, trigonometric equations, triangle trigonometry, advanced graphing, trigonometric identities II, trigonometric equations II, polar coordinates and complex numbers, conic sections, vectors, sequences and series, probability

Prerequisites: Algebra 1, Geometry and Algebra 2 (Recommended that previous math grades were a minimum of 80)

Honors Pre-calculus includes a more challenging and rigorous study of the relationships described above. Students deepen their ability to make connections and apply procedures at higher levels. Students should expect to work at a fast pace and to utilize more independent study than in the on-level course.

Topics covered include: Coordinate geometry, polynomials, inequalities, functions, exponents and logarithms, trigonometric functions, identities, trigonometric equations, triangle trigonometry, advanced graphing, trigonometric identities II, trigonometric equations II, polar coordinates and complex numbers, conic sections, vectors, sequences and series, probability

Prerequisites: Algebra 2 (with an average grade of 95) or Honors Algebra 2 (with an average grade of 85)

Statistics is an introduction to collecting and analyzing data and using basic statistical concepts. Students will extend their knowledge of data analysis and learn how to use statistics to make informed decisions.

Prerequisite: Algebra 1

AQR is a course for students who do not intend to major in a STEM related field. It is an applications course showing how math is applied in life all around us. It is a project based class where students will develop skills in collaboration, research and making presentations.

Prerequisite: Algebra 2

The curriculum of AB is specified by the College Board and agrees with the curriculum of the first one and one-half semesters of calculus in most colleges. AB calculus does not include the reteaching of pre-calculus in that the students are expected to have retained this information. The student who takes this course should do so with the attitude of taking the AP test and receiving college credit.

Topics include:

• Elementary functions - properties of functions, properties of particular functions, limits, continuity, statements and applications.
• Differential calculus - the derivative, applications of the derivative
• Integral calculus - antiderivatives, applications of antiderivatives, techniques of integration

Prerequisites: Pre-calculus (Recommended to have taken Honors Pre-calculus)

The curriculum of BC Calculus is specified by the College Board and agrees with the curriculum of the first two semesters of calculus in most colleges. BC calculus does not include the reteaching of pre-calculus in that the students are expected to have retained this information. The student who takes this course should do so with the attitude of taking the AP test and receiving college credit.

Topics include: derivatives applications of derivatives integration transcendental functions methods of integration polar coordinates vectors (2-dimensional only) infinite sequences and infinite series power series.

Prerequisites: Honors Pre-calculus

In an increasingly technological world, the ability to employ quantitative methods and data analysis has become a vital skill. From medicine to business and industry, a wide variety of professional field require a working knowledge of statistics.

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions about data. The course is built around four main topics: exploring data, planning a study, understanding probability theory and acquiring critical inferential reasoning skills. Since the emphasis in the course is on conceptually understanding fundamental ideas, the memorizing of formulas is not a desired outcome. Consequently, students taking the AP exam will be given an extensive list of formulas and tables.

AP Statistics is project oriented and calculator/computer based. Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester introductory college statistics course.

Prerequisites: Pre-Calculus or concurrent enrollment in Pre-Calculus

Who Should Take This Course: Most majors now require at least one college course in statistics - particularly majors in business/economics, social/political sciences, medicine, agriculture, psychology, education and criminal justice. The course is recommended for students who may have completed Pre-Calculus as a junior and have decided not to take Calculus as a senior or for those looking for another math course.

IB Calculus covers all the topics in Calculus AB, but is more extensive. Students cover the additional topics of vector functions, polar coordinates, and Epsilon-delta proofs. IB Calculus students are also assessed internally by the IB Organization standards and students must submit a portfolio. This course prepares the student to take the IB Mathematics (Calculus) HL exam and for the AP Calculus AB exam.

Prerequisites: IB Pre-Calculus/Honors, teacher approval and appropriate test scores

Students study the following concepts: Three major trigonometry functions, statistics, probability, functions, logic, set theory, 3- graphing and applications. Several small projects and one major related to application. IB Math Studies prepares student to take the IB Mathematical Studies SL Exam.

Prerequisite: Algebra 1, Geometry and Algebra 2