4.0 credits are REQUIRED for GRADUATION
The mathematics department strongly suggests that students who need a graphing/programmable calculator purchase a TI-84.
Students requesting to double up on math classes or move from non-Honors courses to Honors courses or Advanced Placement will need department chair permission if you do not meet the prerequisite.
Algebra I and 2
9
This one-year course encompasses the traditional first year of algebra. Topics include operations for the set of real numbers and some of its subsets, solving linear equations and inequalities as well as systems of equations and inequalities, polynomials and factoring, rational expressions, functions, operations with radicals, fractional equations and quadratic equations.
Honors Integrated Math 9
9
This is designed as the first year of a two-year course spanning grades 9 and 10 for freshman who have successfully completed algebra I and geometry. The Students will develop an understanding of functions types including: quadratics, exponentials, logarithmic,
sequences and series, trigonometric, and circular functions. Topics including probabilities and descriptive statistics will also be discussed. Throughout the course, these students will solve problems from various mathematical disciplines like algebra, geometry and statistics, integrated together into one cohesive study. The class will have a strong focus on applications. A programmable calculator is required.
(PREREQUISITE: Open to freshmen by invitation only)
Honors Integrated Math 10
10
This is designed as the second year of a two-year course spanning grades 9 and 10 for students who have successfully completed Honors Integrated Math 9. These students will be taught quadratic and polynomial equations, sequence and series, 2D and 3D vector operations, advanced Trigonometry, conic sections, and introductory topics in statistics. Throughout the course, these students will complete problems with a strong focus on applications. A programmable calculator is required.
(PREREQUISITE: Grade of “B+” or higher in both semesters of Honors Integrated 9)
Geometry 1 and 2
9 10
A traditional one-year course in plane geometry covers the topics of reasoning and proof, perpendicular and parallel lines, congruent triangles, properties of triangles, quadrilaterals, similarity, right triangles and trigonometry, and areas of polygons and circles.
Honors Geometry 1 and 2
9 10
A one year course in plane geometry covers the topics of reasoning and proof, perpendicular and parallel lines, congruent triangles, properties of triangles, quadrilaterals, similarity, right triangles and trigonometry, circles, areas of polygons and circles, surface area, and volume. In addition, the honors students will cover surface area of 3D shapes, and circles. Students receiving a grade below a B- during first semester will be moved to Geometry for the second semester of the course.
(PREREQUISITE: Open to freshmen by placement only. Sophomores who receive an “A-“ in both semesters of Algebra 1,2)
Algebra 3 and 4
10 11
A traditional second year algebra course. Includes a review of the more important topics from Algebra 1 and 2, polynomials, factoring, equations and systems of equations, applications and problem solving, rational expressions, powers and roots, complex numbers, logarithms and exponential functions. A programmable calculator is required.
(PREREQUISITE: Successful completion of both semesters of geometry)
Honors Algebra 3 and 4
10 11
A rigorous one-year course includes such topics as systems of equations in three variables, radicals, complex numbers, sequences and series, polynomial and rational functions, quadratic relations and systems, exponential and logarithmic functions, permutations and combinations, probability and statistics. A programmable calculator is required. Students receiving a grade below a B- during first semester will be moved to Algebra 4 for the second semester of the course.
(PREREQUISITE: Grade of “B-“ or higher in both semesters of Geometry AND “A-“ or higher in both semesters of Algebra 1,2)
IB HL Math 11 Analysis and Approaches
11
This is the first of a two-year higher level IB course which will encompass topics such as function operations, DeMoivre’s Theorem, 3D vectors, proof by induction and statistics. This course takes an in depth look at algebraic and graphical representations of functions. Students will gain a thorough understanding of both algebraic and graphical representations of functions. Basic Calculus concepts will be introduced and the IB internal assessment project will begin in this course. A programmable calculator is required for this course.
(PREREQUISITE: Grade of “B” or higher in both semesters of Honors Integrated 10)
Trigonometry
11 12
This one-semester course includes a practical approach to the traditional theory and applications of trigonometry. Topics include radian measure, graphing, periodicity, inverse functions, identities, law of sines and cosines, and vectors. A programmable calculator is required.
(PREREQUISITE: Grade of “C-“ or higher in both semesters of Algebra 3,4)
Pre-Calculus
11 12
This one-semester course includes a practical approach to the study of conic sections, matrices and functions (polynomial, rational, exponential, and logarithmic) and their graphs.
A programmable calculator is required.
(PREREQUISITE: Grade of “C-“ or higher in both semesters of Algebra 3,4)
Honors Trigonometry and Pre-Calculus
11 12
A rigorous one-year course for students who have taken Honors Algebra 3 and 4 consists of a much more concentrated and theoretical approach compared to traditional Trigonometry and Pre-Calculus. The Trigonometry semester will include radian measure, graphing, transformations, inverse functions, identities, and the law of sines and cosines. The PreCalculus semester will include 2D and 3D vectors, conic sections, parabolic equations, exponential and logarithmic equations, and complex numbers. A programmable calculator is required. Students that do not maintain a "C+" average in Honors Trigonometry cannot continue to Honors Pre-Calculus. These students will be placed into traditional Pre-Calculus.
(PREREQUISITE: Grade of “B“ or higher in both semesters of Honors Algebra 3,4)
AP Statistics 1 and 2 (offered in ODD years only fall 2019, 2021…etc)
11 12
This is a full year in-depth statistics course designed to replace one semester of college statistics. The course will focus on exploring data, planning and conducting studies, anticipating patterns and estimating parameters while testing the student's hypothesis. The students will research using the internet and will develop a study of their own. A programmable calculator is required for this course.
(PREREQUISITES: Grade of “B” or higher in both semesters of Honors Algebra 3,4)
(The College Board Advanced Placement exam is REQUIRED)
*AP testing fee required by the Advanced Placement College Board
Honors Discrete Mathematics (offered in EVEN years only fall 2020, 2022…etc)
11 12
Have you ever wondered how to secure information across a public network? Or wondered how many colors you need to color a map so that every state borders a state with a different color? Or what has more numbers, the integers or the rational numbers? The answers to these questions and many more can be answered using DISCRETE MATHEMATICS!?!?
In honors discrete mathematics students will explore some the most interesting branches of discrete mathematics such as algebra (no not that algebra, number theory, and graph theory. In addition, the students will learn a variety of proof techniques such as direct proof, proof by contradiction, proof by contrapositive, proof by induction, etc.
(PREREQUISITES: Grade of “B” or higher in both semesters of Honors Algebra 3,4)
Math Applications (Fall Semester Only)
12
This is a one semester course in which students focus on everyday applications of mathematics outside of their monetary needs. Students will study graphing and interpreting graphs, logic and set theory, probability, problem solving skills, and voting apportionment.
(NOT open to students in the honors math sequence or in calculus.)
Personal Finance (Spring Semester Only)
12
This is a one semester course in which students will attain basic skills to ensure competency in handling monthly bills, making purchases, analyzing discounts, banking fees, paying interest and taxes. Topics include personal banking, consumer credit, renting, buying a car and a home, insurance, income tax, investments, household accounts, and budgeting.
AP Calculus 1 and 2
12
This is a rigorous course that covers one year of traditional college material. The course is designed to give an intuitive understanding of the concepts while emphasizing its applications. It forms the foundation for many other mathematics and science courses in college. Calculus 1 is differential calculus and includes the following topics: limits, rules of differentiation (product rule, quotient rule, and chain rule), implicit differentiation, logarithmic differentiation, and derivatives of trigonometric and inverse trigonometric functions. Applications include slopes of tangents, curve sketching, increasing and decreasing functions, critical points, inflection points, extreme value problems, velocity and acceleration of particle, related rates problems, and Newton's Method. Calculus 2 is a continuation of Calculus 1 with an emphasis on integral calculus. Topics include integration (basic formulas, substitution by partial fractions and by parts), the definite integral, approximations to the definite integral, improper integrals, and L'Hopital's rule. Applications include area between curves, volume of a solid of revolution, surface area, arc length, and work. A programmable calculator is required. Students that do not maintain a B- average in AP Calculus 1 cannot continue to AP Calculus 2.
(PREREQUISITE: Grade of “B+” or higher in both Honors Trigonometry and Honors Precalculus)
(The College Board Advanced Placement exam is REQUIRED)
*AP testing fee charged required by the Advance Placement College Board
IB Math Studies
12
This course is open to all seniors that meet the pre-requisites. This is a full-year course which will include a basic introduction to statistics, as well as fundamentals from trigonometry, calculus, and symbolic logic. Topics covered in the first semester will be data collection and analysis, probability, chi-square distributions, correlations, linear regressions, normal distributions, logical reasoning, and symbolic logic. An in-depth, three-month project will be included in the first semester which will serve as the IB Internal Assessment (all students, including non-diploma program students, are required to complete this project). Topics covered in the second semester will include a review of basic trigonometric functions, sequences and series, derivatives, 2D and 3D geometry, and linear, quadratic, exponential, and rational functions.
(PREREQUISITE: Grade of “B+” or higher in Trigonometry and Precalculus OR grade of “B-“ in Honors Trigonometry and Honors Precalculus)
(IB Math Studies exam is REQUIRED)
*IB testing fee required by the International Baccalaureate
IB HL Math
12
This is a rigorous course that covers one year of college calculus material and integrates this material with the role it plays in advanced statistical concepts. The course is designed to give an intuitive understanding of the concepts while emphasizing its applications. It forms the foundation for many other mathematics and science courses in college. Topics covered include: limits, rules of differentiation (product rule, quotient rule, and chain rule), implicit differentiation, logarithmic differentiation, and derivatives of trigonometric and inverse trigonometric functions, vector calculus, integration (basic formulas, substitution by partial fractions and by parts), the definite integral, approximations to the definite integral, improper integrals, and L'Hopital's rule. Applications include slopes of tangents, curve sketching, increasing and decreasing functions, critical points, inflection points, extreme value problems, velocity and acceleration, related rates problems, Newton's Method, area between curves, volume of a solid of revolution, surface area, arc length, work and statistical analysis. Students will also be required to do an in-depth investigative mathematics project as part of this course. Each student will be assigned a mentor teacher to help guide them through the process. A
programmable calculator is required.
(PREREQUISITE: Grade of “B” or higher in both semesters of HL Math 11)
(IB HL or SL Math exam is REQUIRED)
*IB testing fee required by the International Baccalaureate