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Lower Merion School District

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Advanced Mathematics Courses

(Post Algebra 2)

Algebra 3-Trigonometry

  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 11, 12
  • Prerequisite: Successful completion of Algebra 2 or Selected Topics in Algebra 2
  • Course Number: 03010602

This course is for students who need additional work with algebraic skills and who want to study the concepts of trigonometry. It cannot be taken after completing any course that includes trigonometry. The course will include the topics of linear and quadratic functions, polynomial functions, rational and irrational functions, and exponential and logarithmic functions. The trigonometry portion will include basic concepts, graphing of trigonometric functions, identities, triangle trigonometry including Law of Sines and Law of Cosines, and solving trigonometric functions. Concepts will be explored graphically, numerically, and symbolically. A TI-84 graphing calculator is required.

Pre-Calculus

  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 10, 11, 12
  • Prerequisite: Successful completion of Algebra 2, Algebra 2 H, or Algebra 3-Trigonometry
  • Course Number: 03030102

This course will include extensive work with polynomial, rational, exponential, inverse, and logarithmic functions. Fundamental ideas of trigonometric functions (triangular and circular), trigonometric identities and formulas will be developed. The processes involved in interpreting and evaluating functions will be done algebraically, graphically and with technology. Connections are made between functions and their practical applications throughout the course. A TI-84 graphing calculator is required.

Pre-Calculus H

Honors Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 10, 11, 12
  • Prerequisite: It is recommended that students have a grade of “A” or “B” on assessments in Algebra 2 H
  • Course Number: 03030203

This course will include extensive work in mathematical induction, trigonometry, circular, exponential, logarithmic and inverse functions, series, combinatorics, limits and derivatives. Calculus concepts are developed theoretically and include applications. Modeling is used extensively throughout the course. The algebraic, numeric, and graphic nature of topics are compared and contrasted to enhance and broaden comprehension. Group collaboration outside of the class is an essential part of the course. Successful completion of this course prepares students for Advanced Placement Calculus (BC or AB). A TI-84 graphing calculator is required. With some additional, independent work outside of the course, students can be prepared to take the Mathematics Level 2 SAT Subject Test in the spring.

Financial Algebra

  • Length/credit: 1 year - 1.0 credit
  • Prerequisite: Students must have successfully completed Algebra 2
  • Grade(s): 11, 12
  • Course Number: 03140102

In Financial Algebra, students will refine mathematical skills developed in previous courses in the context of financial topics. Mathematical skills will include linear and quadratic equations, systems of equations, exponential and logarithmic functions, piecewise functions, descriptive statistics, probability, regression, and correlation. These mathematical skills will be taught through such topics as stock market, modeling a business, banking services, retirement planning, preparing a budget, and consumer credit. A TI-84 graphing calculator is required.

Statistics

  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 11, 12
  • Prerequisite: Successful completion of Selected Topics in Algebra 2, Algebra 2 or 2 H
  • Course Number: 03050102

This is a first course in statistics with an emphasis on both descriptive and inferential statistics, counting techniques, and probability. Experimental design along with correlation/regression techniques will also be studied. Please note that this course may be taken concurrently with other advanced math courses following the successful completion of Algebra 2. A TI-84 graphing calculator is required.

AP Statistics

AP Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 10, 11, 12
  • Prerequisites: It is recommended that students have a grade of “A” or “B” on assessments in Algebra 2 H or grade of “A” on assessments in Algebra 2
  • Course Number: 03050204

This course is designed to prepare the student for The College Board’s AP Statistics exam. Major themes include: exploratory data analysis, planning a study, probability, and statistical inference. Students should have an independent approach to learning with minimal need for guidance and assistance. Please note that this course may be taken concurrently with other advanced math courses, following the successful completion of Algebra 2 with the recommended grade. A TI-84 graphing calculator is required.

Calculus

  • Length/credit: 1 year – 1.0 credit
  • Grade(s): 10, 11, 12
  • Prerequisite: Successful completion of Pre-Calculus or Pre-Calculus H
  • Course Number: 03060102

This course is designed as a college preparatory course in the calculus of one variable. It will begin with a review of functions and their graphs and continue with the study of limits, derivatives and their applications, Riemann sums, integration and applications of the definite integral. A TI-84 graphing calculator is required.

AP Calculus AB

AP Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 11, 12
  • Prerequisite: It is recommended that students have a grade of “A” or “B” on assessments in Pre-Calculus H
  • Course Number: 03060204

This course is the equivalent of a first semester college calculus course and prepares students to take the AP Calculus AB exam. Students who enroll in this class should be prepared for high levels of independent work and group collaboration outside of class. This course includes theory of limits, derivatives, the Fundamental Theorem of Calculus, definite and indefinite integrals and their applications. A TI-84 or higher graphing calculator is required.

AP Calculus BC

AP Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade(s): 11, 12
  • Prerequisite: It is recommended that students have a grade of “A” on assessments only in Pre-Calculus H or have successfully completed AP Calculus AB
  • Course Number: 03060304

This course is planned for students who wish to complete a rigorous calculus course equivalent to that of the most competitive university level courses. Students who enroll in AP Calculus BC should have mastery of skills developed in Pre-Calculus H; an independent approach to learning, and a healthy appetite and intellectual curiosity for exploring rigorous college level math in high school. Topics include theory and applications of differential and integral calculus, infinite series, and differential equations as related to science, history, the arts, and the natural world. A TI-84 or higher graphing calculator is required.

Senior Seminar in Mathematics – Post AP Calculus BC H

Honors Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade: 12
  • Prerequisite: It is recommended that students have a grade of “A” or “B” in AP Calculus BC
  • Course Number: 03080103

This course is designed for exceptionally capable students of mathematics who have completed the AP Calculus BC course. Some of the great theorems and ideas of mathematics will be studied. Additional topics will be selected from among the following: formal logic, math history, statistics theory, differential equations, linear algebra, complex numbers, as well as others. While some time will be spent in formal instruction, a significant portion of time will include student independent study and research. Students will explore topics and report their findings.

Advanced Topics in Linear Algebra & Discrete Mathematics H

Honors Course Symbol
  • Length/credit: 1 year - 1.0 credit
  • Grade: 11, 12
  • Prerequisite: Students must have successfully completed Calculus or AP Calculus AB
  • Course Number: 03130103

Topics will include: linear algebra, combinatorics, probability and expected value, logic and critical argument. Students will complete a mathematical exploration fusing current and past mathematical content resulting in an opportunity for independent research.