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Mathematics Classes

Mathematics Classes


Algebra 1

  • 9th grade
  • Required
  • Two Semesters
  • Prerequisites: Completion of Pre-Algebra or 8th Grade Math

Algebra is the foundation of all mathematics to follow. Students will study the following topic areas: number systems and number sense; expressions, equations, and inequalities; functions; linear functions; quadratic equations and functions; exponential and log functions, and polynomial functions.  This course improves a student’s development of problem-solving skills and effective communication of possible solutions.



 

Geometry

  • 10th grade
  • Required
  • Two Semesters
  • Prerequisite:  Successful completion (D- or better) of both Algebra 1A and 1B

Geometry is the second year in the required mathematics program of study.  Students will study the following topics:  mathematical reasoning and proof; lines and angles; triangles and trigonometry; quadrilaterals; circles; solids, and transformations.  Emphasis will be on both plane (two-dimensional) and solid (three-dimensional) geometry, and students will advance their understanding of the relationships between algebra and geometry in problem solving.

 

 



Algebra 2 

  • 11th grade
  • Required
  • Two Semesters
  • Prerequisite:  Geometry

 

Algebra II – A&B is a one-credit, two-semester course that will further develop and reinforce algebraic and geometric concepts, continuing the required sequence in mathematics study.  Students will focus on the following topics:  polynomials; functions; trigonometric functions; systems; matrices; sequences and series; counting principles and probability; and statistics.  Students will gain an in-depth understanding of problem solving and sound mathematical communication of ideas.

 



Algebra 2A Extended (Parts 1 and 2) and Algebra 2B Extended (Parts 3 and 4)

  • 11th grade
  • Required
  • Four Semesters
  • Prerequisite:  Geometry and teacher-parent recommendation.

Algebra 2 Extended – is a two-credit, four-semester course that will further develop and reinforce algebraic and geometric concepts, continuing the required sequence in mathematics study.  This course is sequenced over a two-year period, allowing learners to study at an extended pace that provides the opportunity for additional practice. Students will focus on the following topics:  polynomials; functions; trigonometric functions; conics; sequences and series; counting principles and probability; and statistics.  Students will gain an in-depth understanding of problem solving and sound mathematical communication of ideas.




 

Trigonometry

  • 11th-12th grades
  • Elective
  • One Semester
  • Prerequisite: Successful completion of Algebra 2.
Trigonometry is a one semester class in which students will be studying: Review of basic geometry related to trigonometry including the distance and midpoint formula, review of functions, and the Pythagorean Theorem.  Students will study right triangle trigonometry and the use of the unit circle. The use of all six trig functions will be taught in all aspects including a graphing chapter with transformations. Students will also study linear and angular velocity with application of radian measure.



 

Probability and Statistics

  • 11th-12th grades
  • Elective
  • One Semester
  • Required background course: Algebra 2.  It is highly recommended that students have earned a “C” or better in both sections of Algebra 2

Probability is the study of chance occurrences, and statistics is the study of numerical data important to business, psychology, sociology, and economics, as well as other sciences.  Probability topics include mutually exclusive events, addition and multiplication rules, tree diagrams, Venn diagrams, binomial probabilities, permutations and combinations.  Statistics topics include graphing techniques for presenting data, measures of central tendency, measures of spread, measures of position, outliers, linear regression, and the Normal distribution.  A graphing calculator will be used throughout the course. 

 


Statistics in Sports

  • 11th-12th grades
  • Elective
  • Two Semesters
  • Counts as Senior math requirement
  • Required background course: Completion of both semesters of Algebra 2 with a grade of at least C+.   This course may be taken concurrently with Advanced Math or AP Calculus AB/BC.  

Students will learn the principles of statistical reasoning in a way that helps prepare them for college and careers in a data-saturated world.  This course will cover many of the same topics as AP Statistics but through the context of sports.  Topics covered will go well beyond batting averages; students will analyze real, current sports data and use critical thinking skills to answer questions like, "Is there a home field advantage in the NFL?' or "What is LeBron James' TRUE ability?"



Discrete Mathematics

  • 12th grades
  • Elective
  • One Semester
  • Prerequisite: Algebra 2.  It is highly recommended that students have earned a “C” or better in both sections of Algebra 2".

Discrete math is designed to make mathematics more meaningful and compelling by focusing on familiar, real-life events and situations.  Students will be doing reasoning, problem solving, game theory, logic, combinatory, counting and relations, and computability.  By emphasizing reasoning, problem solving, and connections among math topics, students will be able to explore the impact of math on the world around them and in their own lives.

 




Advanced Mathematics (Pre-Calculus)

  • 11th-12th grades
  • Elective
  • Two Semesters
  • Prerequisite:  Algebra 2; “C” or better highly recommended

Advanced Mathematics will focus on preparing college bound students for the study of calculus.  Areas of concentration include linear relations and functions, systems, families, polynomial and rational functions, conic sections, angles, degree measure, trig functions and inverse trig functions, trig identities and equations, vectors, parametric equations, polar coordinates and complex numbers, exponential and log functions, sequences and series, math inductions, combinatorics and probability, statistics and data analysis, and introduction to calculus.  Emphasis in this course is on college entry and preparation for a rigorous college-level math course.

 




AP Calculus AB

  • 11th-12th grades
  • Elective
  • Two Semesters
  • Prerequisite: Advanced Math with a “C” or better or teacher recommendation

Upon completion of AP Calculus AB, students will understand how to use mathematical language to describe concepts and relationships between concepts. Throughout their coursework, students will use the “Rule of Four” for problem solving. Students will be asked to solve problems algebraically or analytically, support our results graphically and numerically (with and without a calculator), and then interpret the results in the context of the original problem verbally and in writing. Students will use technology to enhance and support their proofs and problem solving techniques, but will also recognize that the calculator itself does not give a proof of a concept. The concepts that will be studied include: functions and equations, limits and continuity, derivatives and their applications, integrals and their applications, and differential equations and mathematical modeling.





AP Calculus BC

  • 11th -12th grades
  • Elective
  • Two Semesters
  • Prerequisite: Advanced Math with a “B+” or better or teacher recommendation

 This course presents a college level introduction to calculus. The study first covers the foundational pre-requisites, including slope, limits, and functions before introducing the concept of the derivative. The AP portion of the course then begins with the idea of an integral, studies its uses in analysis of physical and theoretical situations, and concludes with a look at infinite series, and parametric, vector, & polar applications. Upon completion of AP Calculus BC, students will understand how to use mathematical language to describe concepts and relationships between concepts. Throughout their coursework, students will use the “Rule of Four” for problem solving. Students will be asked to solve problems algebraically or analytically, support our results graphically and numerically (with and without a calculator), and then interpret the results in the context of the original problem verbally and in writing. Students will use technology to enhance and support their proofs and problem solving techniques, but will also recognize that the calculator itself does not give a proof of a concept.

 




AP Statistics

  • 11th-12th grades
  • Elective
  • Two Semesters
  • Prerequisite: Completion of one or more of the following courses with a grade of B- or better: Statistics & Probability, Statistics in Sports, Advanced Math (Pre-Calculus)

AP Statistics is designed to be the equivalent of an introductory college statistics course. Students study the following four main topics: exploring data, sampling and experimentation, probability and simulation, and statistical inference.  Students who are successful in this challenging applied mathematics course tend to be highly self-motivated and have a strong work ethic. Students have the opportunity to earn college credit by earning a qualifying score on the AP exam in May.  A graphing calculator is required for this course.





IB Math SL

  • 11th-12th grades
  • Two Semesters
  • Prerequisite: Successful completion of Algebra 2 with a B- or better.

IB Math SL is a rigorous two semester course of study presenting a unified approach to the many areas of mathematics.This one-year course is intended for students who are looking for a strong background in math as preparation for future studies in the sciences, engineering, economics, psychology, and business administration. In addition to the math topics to be studied, there is an emphasis on effective communication of mathematical concepts and relationships. IB Math SL is very similar to a Pre-Calculus course. It is rigorous, moves quickly, and sets the focus on mathematical thought and making deeper connections. Unlike Pre-Calculus, however, it does not go as deep into each concept, but ultimately covers much more.  Topics include: differential and integral calculus; statistics; vectors; and exponential, logarithmic, & trigonometric functions. Students will develop skills in mathematical modeling and analysis, as well as a greater understanding of the relationships between math topics. IB Math SL requires college-level performance and work habits. A three and one half-hour external IB examination is given at the end of the year. 

IB Math SL Syllabus                                       Example IB Problems Unit 3 (Transformations)                                        Example IB Questions Unit 5



IB Math Studies SL

  • 11th-12th grade
  • Two Semesters
  • Prerequisite:  Algebra 2 with C or better, or teacher recommendation.

Math Studies is a one year course that will prepare students to pass the IB Standard Level math test.  This is the least rigorous math course in the IB curriculum and is most appropriate for students who plan on a future career that does not require a background heavy in technical instruction.  The course is designed to develop the skills and techniques needed for problem solving, mathematical reasoning, and inductive thought through self discovery activities and projects.  The IB Math Studies SL course will introduce the student to topics in probability, statistics, and mathematics of finances, logic, algebra, and calculus.