Mathematics

ALGEBRA

9, 10, 11, 12

1.0 credit

Algebra integrates geometry, statistics, and probability into the course. Students will be introduced to variables, solve and graph equations and inequalities in standard, linear, and quadratic form, and apply various problem-solving skills in real-life situations. Students will explore the properties of powers and use them to calculate compound interest and exponential growth. They will be introduced to solving systems of equations, multiplying and factoring polynomials, and solving quadratic equations by factoring. Problem solving, connecting ideas, and real-world applications are emphasized throughout the course.

GEOMETRY

9, 10, 11, 12

1.0 credit

Geometry uses coordinates and transformations throughout the course in both two and three dimensions. Students will explore a variety of properties related to triangles and quadrilaterals, relationships of parallel and perpendicular lines, circles, and three-dimensional figures. There is a strong integration of algebra within the geometry concepts. Reading, problem-solving, and proofs are also emphasized throughout the course.

ADVANCED ALGEBRA ESSENTIALS A, B, C

10, 11, 12

1.5 credits

Advanced Algebra Essential course is for students with varied backgrounds and abilities. This course is designed for students who need additional time to master advanced algebra concepts. The study of functions is woven throughout the course and includes linear, quadratic, and polynomial functions.  Students are introduced to sequences, logarithms, exponential functions, and probability and statistics. This course is designed to build confidence and encourage appreciation and communication of mathematics. In year 2, students will also complete a semester of Personal Finance.

ADVANCED ALGEBRA (AA)

10, 11, 12

1.0 credit

Advanced Algebra builds upon content covered in Algebra.  The study of functions is woven throughout the course and includes linear, quadratic, and polynomial functions. Students will delve into sequences, logarithms, exponential functions, inverses, radicals, and systems. They will also be introduced to probability and statistics.

FUNCTIONS, STATISTICS & TRIGONOMETRY (FST)

11, 12

1.0 credit

Functions, Statistics, and Trigonometry is designed to give the student an experience in modeling real-life scenarios with various equations and extrapolating answers from them which forms the foundation of the course. Transformations, inverses, logarithms, series, and matrices comprise additional topics that supplement this goal.  Statistics are covered and used to support/reject hypotheses.  Problem-solving and critical thinking skills are promoted, and utilized in determining whether work is applicable and makes sense in situational applications of mathematics.

PRECALCULUS & DISCRETE MATHEMATICS (PDM)

11, 12

1.0 credit

Precalculus and Discrete Mathematics is designed to give the student an experience in the following topics: operations on parent functions, manipulation of polynomials/rational functions, limits, polar coordinates, and vectors, which are highlighted in the first three marking periods, all with an emphasis on algebraic fluency. Logic, trigonometry, and mathematical induction are also discussed. The Calculus ideas of derivatives and integrals are introduced and explored during the final marking period of this class.

ADVANCED ALGEBRA/FUNCTIONS, STATISTICS & TRIGONOMETRY HONORS (AA/FST(H))

9, 10, 11, 12

1.0 credit

This course is the beginning of a two-year honors sequence.  Three courses will be taught in two years, Advanced Algebra, FST, and AP Statistics.  Students enrolling in this course should plan on staying on the honors track for at least two years.

FUNCTIONS, STATISTICS & TRIGONOMETRY/ADVANCED PLACEMENT STATISTICS (FST (H)/AP STATS)

10, 11, 12

1.0 credit

This course is the second course in the two-year honors sequence.  This course covers the conclusion of Functions, Statistics, and Trigonometry as well as Advanced Placement Statistics. The Advanced Placement Statistics portion of the course will begin at the start of the second semester. Near the conclusion of this course, students will take the Advanced Placement exam.  This course is in sequence with the first-year honors course covering Advanced Algebra, FST and AP Statistics in two years.

PRE-CALCULUS & INTRODUCTION TO CALCULUS HONORS (PRE-CALC/CALC A (H))

11

1.0 credit

This course covers the same topics as regular Precalculus and Discrete Mathematics, as well as an introduction to Calculus. This course is recommended for students who are interested in taking the Advanced Placement BC Calculus exam the following year. This course prepares students for a study of Calculus; it explores topics in Algebra, Trigonometry, and Analytic Geometry for their relevance to Calculus. This course is the first of a two-year sequence with the Advanced Placement Calculus BC course, in which students will cover three courses in two years:  PDM, Calculus I (AB) and Calculus II (BC).

AP CALCULUS AB

12

1.0 credit

This course follows the Advanced Placement Calculus AB curriculum. Much time is devoted to the development of the concepts of limits and their applications to the derivative. Other topics include the Fundamental Theorems of Calculus, first and second derivative tests, the mean value theorems of the differential and the integral, exponential functions, natural logarithms, and derivatives and integrals of all the trigonometric, circular, exponential, and logarithmic functions.  Applications of the derivative and integral are explored in great depth. The course concludes with the Advanced Placement Calculus AB exam offered in May.

AP CALCULUS BC

12

1.0 credit

This course follows the Advanced Placement Calculus AB and BC curriculums.  Two-thirds of the topics in the Advanced Placement Calculus AB course are covered as well as topics from the Calculus BC curriculum. This course investigates integration techniques and infinite series. A study of plane, parametric, polar, vector, and differential equations is a large portion of the course content.  This course concludes with the Advanced Placement Calculus BC exam.  This course is the second of a two-year sequence with the PDM/Calculus Honors course, in which students will cover three courses in two years:  PDM, Calculus I (AB), and Calculus II (BC).

IB MATHEMATICS APPLICATIONS SL

11 and 12

1.0 credit per year

The two-year IB Mathematics Applications SL course is for students with varied backgrounds and abilities. This course is designed for students who enjoy describing the real world and solving practical problems using mathematics, those who are interested in harnessing the power of technology alongside exploring mathematical models, and enjoy the more practical side of mathematics. This course is designed to build confidence and encourage appreciation and communication of mathematics in students who do not anticipate the need for mathematics in their future studies. Students taking this course must be equipped with fundamental prerequisite math skills. Topics covered include modeling, statistics, trigonometry, geometry, and introductory calculus. Each student will complete an internally assessed component, which offers students the opportunity to develop their independence in their mathematical learning with a topic in which they have a significant interest.

IB MATHEMATICS ANALYSIS SL

11 and 12

1.0 credit per year

The two-year Mathematics Analysis SL course explores a wide range of mathematical concepts with a particular focus on statistical techniques and introductory calculus.  The students most likely to select this course already have a strong foundation in algebra and geometry and possess the enthusiasm to learn about and explore in more detail the mathematical concepts they’ve been introduced to in those courses.  Students interested in pursuing engineering, chemistry, economics, geography, psychology, and business administration would benefit from taking mathematics SL, as these subjects have significant mathematical content.  Mathematics Analysis SL allows students to develop sophisticated mathematical reasoning and to enhance their critical thinking skills.  Topics covered in Mathematics Analysis SL are algebra; functions and equations; circular functions and trigonometry; advanced geometry topics; statistics and probability; and calculus.

IB MATHEMATICS ANALYSIS HL

11 and 12

1.0 credit per year

The Mathematics Analysis HL course is geared toward the math enthusiast who enjoys exploring many topics in mathematics.  Advanced topics which will be explored in depth include Algebra, Functions, Geometry and Trigonometry, Vectors, Statistics and Probability, and Calculus. This course caters to students with a good background in mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major focus of their university studies. Students embarking on this course should expect to develop insight into mathematical form and structure and should be intellectually equipped to appreciate the links between concepts in different topic areas. This course is a demanding one, requiring students to study a broad range of mathematical topics through a number of different approaches and to varying degrees of depth.  Each student will complete an internally assessed component, which offers students the opportunity to develop their independence in their mathematical learning with a topic in which they have a significant interest. 

REAL WORLD MATHEMATICS

12

0.5 credit

This is a senior-only course for students who earned credit for Advanced Algebra as juniors.  The focus of this course would be applications of real-world data sets.  Students will investigate numbers and coding in life, such as social security numbers, UPCs, VINS, and ISBNs. Students will discover the use of probability, statistics, and proportions in daily life. Students will be introduced to topics such as data science and entrepreneurship. 

PERSONAL FINANCE

11, 12

0.5 credit

Personal Finance is a course designed to help students understand the impact of individual choices on occupational goals and future earnings potential. Real-world topics covered will include income, money management, spending, and credit, as well as saving and investing. Students will design personal and household budgets, simulate the use of checking, and savings accounts, demonstrate knowledge of finance, debt, and credit management, and evaluate and understand insurance and taxes. This course will provide a foundational understanding for making informed personal financial decisions to ensure financial stability and security.