The mathematics department encourages all students to take four years of math. Studies have shown that students do significantly better in postsecondary mathematics courses if they have taken a math class every year of their secondary education.
PreAlgebra
Grades 912
Prerequisites: None
Semester 12, One credit per semester
This course is designed to prepare students for Algebra 1. PreAlgebra is a foundational methods course where students will develop solid skills in basic algebra, reasoning and number sense. Students will have opportunities to use mathematics to model a variety of realworld situations and will learn to approach problems numerically, graphically, algebraically, and verbally. In general, the PreAlgebra topics are aligned with our Algebra 1 course and include problem solving, integers, solving equations and inequalities, percent, fractions, decimals, proportions, linear equations, exponents, polynomials and factoring, square roots, and quadratics. Nonalgebra topics include measurement, perimeter, area, right triangles and statistics. A scientific calculator is required. This course does not meet algebra requirements for college.
General PreAlgebra
Grades 912
Prerequisites: None
Semester 12, One credit per semester
This course reviews and extends the study of variables, constants, expressions, and equations in preparation for General Algebra 1. Students will learn to approach problems numerically, graphically, algebraically and verbally, and use mathematics to model a variety of realworld situations. Topics covered include solving equations, simplifying expressions, understanding order of operations, working with positive and negative numbers, factoring, and graphing. Teachers and counselors will determine placement.
Algebra 1
Grades 912
Prerequisites: Grade 9  Teacher recommendation, Grades 1012  PreAlgebra
Semester 12, One credit per semester
Algebra 1 is the first course in abstract mathematics and the initial step in the regular sequence of high school mathematics. It provides the student with fundamental tools to explore mathematical concepts, search for patterns, and solve problems. Topics include the study of linear, exponential, quadratic and rational functions. Students will be encouraged to comprehend algebraic concepts, to make conjectures while persevering through challenging problems, and to develop a conceptual understanding of mathematics. Major concepts are balanced with procedural skill knowledge (simplifying expressions, solving equations and inequalities, translating mathematical sentences, graphing, and solving systems of equations) A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned. Preferred model: TI84+
Algebra 1 Block
Grade 910
Prerequisites: Teacher Recommendation
Semester 12, Two course credits per semester – one math credit per semester
Research shows that doubling up on Algebra instruction has a positive and substantial impact on college entrance exams and enrollment rates. With this research in mind, Algebra 1 Block is designed for students who have the potential to be successful in Algebra 1 given a second period of math instruction. Algebra 1 Block offers two periods of Algebra, designed specifically for a double period, (versus 51 minutes of regular Algebra and another period of support). Students in this course will be held to the same learning standards as Algebra 1 with additional instructional opportunities for conceptual learning, discussion, etc. Teachers and counselors will determine placement.
General Algebra 1
Grades 912
Prerequisites: General PreAlgebra
Semester 12, One credit per semester
General Algebra 1 continues the study of variables, constants, expressions and equations. This course will provide students with fundamental tools to explore mathematical concepts, search for patterns, and solve problems. Topics covered include solving equations and inequalities, translating mathematical sentences, graphing, solving systems of equations, and investigating the relationship between various quantities. Teachers and counselors will determine placement.
Geometry
Grades: 1012
Prerequisites: Algebra 1 and Teacher Recommendation
Semester 12, One credit per semester
Geometry provides students with the essentials of geometry along with the reinforcement of algebraic concepts. Emphasis will be placed on discovering of the principles of geometry, logical thinking, and visualization of 2 and 3 dimensional objects. Topics include parallel and perpendicular lines, congruent triangles, relationships within triangles, quadrilaterals, similarity, right triangles and trigonometry, area, surface area, volume, and circles. Instruction is guided with handson explorations and realworld problems which make concepts more meaningful for students.
Advanced Geometry
Grades 912
Prerequisites: Algebra 1 and Teacher Recommendation
Semester 12, One credit per semester
Advanced Geometry provides students an opportunity to formulate conjectures using inductive reasoning and construct proofs using deductive reasoning. Students will study the properties of points, lines, planes, congruent triangles, similarity, transformations, polygons, circles, and triangle inequalities with an emphasis on logical arguments and algebraic reasoning. Symbolic logic and coordinate proofs are also studied. This course provides extensive work in both twodimensional and threedimensional space. The course also covers the topics of area, volume, and linear measure of standard geometric figures. Conic sections are introduced towards the end of the course. Students will be able to manipulate figures and discover geometric properties using the Geometer's Sketchpad. Throughout the course, students will be encouraged to persevere through challenging problems while developing a conceptual understanding of geometry.
General Geometry
Grades: 1012
Prerequisites: General Algebra 1
Semester 12, One credit per semester
General Geometry provides the students with the essentials of geometry along with reinforcement of algebraic concepts. Emphasis will be placed on discovery of the principles of geometry, logical thinking, and visualization of 2 and 3 dimensional objects. The course is a blend of arithmetic, algebra, and geometry. Each chapter ends with a review of not only the current chapter, but also every chapter from the beginning of the book. Teachers and counselors will determine placement.
Algebra 2
Grades 1112
Prerequisites: Algebra 1 and Teacher Recommendation
Semester 12, One credit per semester
This course is designed for students intending to satisfy a third year math requirement for colleges, but who will not be taking Precalculus. Together with Functions and Trigonometry, it provides a sound foundation in advanced algebra concepts with less rigorous pace than Advanced Algebra 2 and Trigonometry. A review of Algebra 1 is included along with new topics such as arithmetic and geometric sequences and series, a study of function families and their graphs, graphical transformations of function graphs, introduction to trigonometry, exponential functions, logarithms, polynomials, systems of equations, and probability and statistics. Triangle trigonometry will be emphasized with an introduction to circular trigonometric functions. A strong emphasis will be placed on using realworld data and handson explorations to investigate the topics mentioned above. A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned.
Advanced Algebra 2 and Trigonometry
Grades 1012
Prerequisites: Algebra 1 and Teacher Recommendation
Semester 12, One credit per semester
Advanced Algebra 2 and Trigonometry is a transitional course between elementary studies in mathematics and more analytical and graphical reasoning. Throughout the course, topics build on the foundational concepts that students have mastered in Algebra 1. New topics that are introduced include parent functions, complex numbers, exponential and logarithmic functions, rational and inverse functions, trigonometric and circular functions, and probability. Graphing functional relationships will be emphasized and problem solving based on realworld applications of these functional relationships is a central part of the course. Students will be encouraged to comprehend abstract algebraic concepts, to make conjectures while persevering through challenging problems, and to develop a deeper understanding of mathematics. Throughout this course, students will be asked to solve problems numerically, algebraically, graphically and verbally. A graphing calculator is required, which allows students to more thoroughly investigate the mathematics being learned. Preferred: TI84+
Functions and Trigonometry
Grade 1112
Prerequisites: Algebra 2 or Advanced Algebra 2 and Trigonometry and Teacher Recommendation
Semester 1, One credit
This is a one semester course that provides those students not taking Precalculus an opportunity to extend their mathematical skills and prepare for college level math. The characteristics of functions to model real life is examined while the deep understanding of algebraic structure is emphasized. The study of trigonometry is continued, with an emphasis on circular trigonometric functions and their graphs. A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned. This course is generally paired with Statistics to provide students a full year of mathematics.
Statistics
Grades 1112
Prerequisites: Algebra 2 or Advanced Algebra 2 and Trigonometry and Teacher Recommendation
Semester 2, One credit
This is a one semester course that provides those students not taking Precalculus an opportunity to extend their mathematical skills and prepare for college level math. This introductory course helps students understand and appreciate the statistics around them, as well as succeed in a college statistics class. Unlike AP Statistics, however, it does not lead to advanced placement credit. It is an introduction to the study of statistics only. Crime, drug use, disease, pollution controls, real estate, extinction rates, survival rates, production, quality control, spending, earning, dieting, drinking, traveling – there isn't an issue relevant in our world today that doesn't have statistical data associated with it. In this course, students will explore the use of statistics in daily life, and will learn how to analyze data that appears in reallife situations. The validity of statistical reasoning and the basic ideas of statistical inference will be examined. We will discuss probability, discrete and continuous probability distributions and the central limit theorem. Students will understand frequency distributions and their graphs and measures of central tendency and variability. A graphing calculator is required for this course, which allows students to more thoroughly investigate the statistics being studied. This course is generally paired with Functions and Trigonometry to provide students a full year of mathematics.
AP Statistics
Grades 1112
Prerequisites: Advanced Algebra 2 and Trigonometry
Semester 12, One credit per semester
This is a yearlong course in statistics that will culminate in an AP test and advanced placement credit at many colleges and universities. (See counseling department for list and qualifying score.) In an evermore technical world, it has become increasingly important for students to develop a serious understanding of the basics of statistics. This includes data collection and presentation, the planning of a statistical study, the use of probability models and simulation to predict occurrences of events, and statistical inferences via confidence intervals and hypothesis testing. This course will prepare students that will have college/university majors in social sciences, health sciences, education, or business for further studies in their field. Writing and problem solving skills are essential qualities for students that take this course. A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned.
Precalculus
Grades 1112
Prerequisites: Advanced Algebra 2 and Trigonometry
Semester 12, One credit per semester
Precalculus is the study of functions, their graphs, and their applications. Students will learn how to approach problems numerically, graphically, algebraically, and verbally. Topics include function families, rates of change, transformations, composition, inverse functions, logic, trigonometry, vectors, polar graphs, parametric equations, optimization, and limits. Students will be encouraged to comprehend abstract concepts, to make conjectures while persevering through challenging problems, and to develop a deeper understanding of precalculus topics. Students will routinely use graphing calculators to investigate graphs, discuss realworld problems, and explore concepts which lay the foundation for calculus or other advanced mathematics courses. A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned. Preferred: TI84+
Advanced Precalculus
Grades 1112
Prerequisites: A or better in Advanced Algebra 2 and Trigonometry and Teacher Recommendation
Semester 12, One credit per semester
The intent of this course is to prepare students for taking AP Calculus BC the following year. The course is an indepth and rigorous treatment of Precalculus and Trigonometry topics including challenging units in exponential functions, logarithms, sinusoidal functions, transformations of functions, polar equations, complex numbers, sequences and series, logistic functions, parametric equations, and symbolic logic. Initial topics in Calculus are introduced and considerable work is done with limits. Like the regular Precalculus course, students learn how to approach problems numerically, graphically, algebraically, and verbally. In this advanced course there will be very little review of previouslytaught concepts. New topics will be covered at a faster pace and in greater theoretical depth. The Advanced Precalculus curriculum is problem centered and inquiry based. Students should expect to be challenged through exploring, conjecturing, predicting, analyzing, and verifying mathematical ideas. A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned.
AP Calculus AB
Grade 12
Prerequisites: Precalculus or Advanced Precalculus
Semester 12
One credit per semester
Through intuitive, analytic, numerical, and graphical thinking, students will explore the fundamental concepts of Calculus. Topics include limit theory, continuity, the derivative, the definite integral, techniques of integration, applications of the derivative and definite integral, and differential equations. The use of technology and applications will be discussed throughout the course. Upon successful completion of the course, students will take the College Board Calculus AB Advanced Placement Exam. Students with qualifying scores on this exam will receive equivalent credit for one semester of calculus at many colleges and universities. (See counseling department for list and qualifying score.) A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned.
AP Calculus BC
Grade 12
Prerequisites: Precalculus or Advanced Precalculus
Semester 12, One credit per semester
This course covers all of the topics in Calculus AB, but includes additional topics that prepare students to take the College Board Calculus BC Advanced Placement Exam. Additional topics include limit theory, techniques of integration, logistic functions, series, additional theory of calculus, derivatives of parametric and polar functions, and possibly systems of differential equations, partial derivatives, multiple integrals and vector calculus. Student with qualifying scores on this exam will receive equivalent credit for two semesters of calculus at many colleges and universities. Students will also receive an AB subscore. (See counseling department for list and qualifying score.) A graphing calculator is required for this course, which allows students to more thoroughly investigate the mathematics being learned.
Please refer to the Computer Science Section for information on Computer Science Principles 1 and 2 and AP Computer Science.
