# Mathematics

*Use this chart in conjunction with the specific course descriptions and prerequisites, and note that the typical pathways shown do not reflect every possible scenario for student progression through the curriculum.*

Central to the philosophy of the mathematics department is the belief that all students are capable of, and can profit from, learning significant mathematical concepts, skills and techniques. As described below, one level of Algebra I, two levels of Geometry, and three levels of Algebra II are offered. In general, the sequence of courses in mathematics moves from Algebra I to Geometry to Algebra II. Students then enter a variety of advanced and elective courses to continue their study of mathematics through Grade 12.

The ASL math curriculum is aligned to the Common Core State Standards (CCSS) and develops the math practices that are an essential part of those standards throughout each course. At every level, students are asked to not only find answers to problems, but to give detailed and thoughtful solutions that demonstrate the learning process and deep understanding of the fundamental concepts. Students learn how to express their solutions mathematically, and also how to explain their understanding through written reflection.

Throughout an ASL high school student's mathematics career, the department endeavors to provide learning experiences that utilize appropriate technology. The graphing calculator equips students with opportunities to explore concepts and topics in depth. Learning to use a graphing calculator effectively and efficiently is, therefore, an integral part of the mathematics curriculum, and students in the High School are expected to have a Texas Instruments brand TI-84, TI-84 Plus, or TI-NSpire graphing calculator for use in math courses.

The mathematics department sponsors the Math Club, which provides motivated students with an opportunity to work on problems that require them to think laterally and creatively and to explore methods outside the curriculum. Students work individually and in small groups in preparation for various math competitions. Participation in contests, including ISMTF mathematics competitions and the UKMT and other mathematical challenges, is open to all students willing to undertake extra work in mathematics.

### Accelerated program

In order to provide a challenging and rigorous mathematics curriculum for exceptionally able ASL students, accelerated courses are offered in Algebra II with Trigonometry, Precalculus with Calculus, AP Statistics, AP Calculus AB, AP Calculus BC and Advanced Math Seminar. These courses are designed for students with advanced conceptual skills, who are capable of applying ideas in new circumstances, and who are adept at mathematical and algebraic manipulation. All units are studied at an accelerated rate and in substantial depth, with more emphasis on theory and a higher degree of difficulty in problem solving. Strong emphasis is placed on investigation, analysis, discovery and independent thinking.

A student may take courses in the accelerated program provided s/he has demonstrated in previous mathematics courses the characteristics described above and been recommended by the department. For a student new to ASL, approval is granted by the mathematics department upon review of the student's mathematics record from a previous school and his/her ASL placement test.

- Algebra I
- Geometry with Algebra
- Geometry with Proof
- Algebra II Foundations
- Algebra II
- Algebra II with Trigonometry
- Precalculus with Statistics
- Precalculus with Analysis
- Precalculus with Calculus
- Calculus
- AP Calculus AB
- AP Calculus BC
- Financial Mathematics
- AP Statistics
- Advanced Math Seminar