Mathematics

The Math Department has two tracks to choose from -- the Applied Math Track and the Pure Math Track.

Applied Math Track
Year 1 - Quantitative Reasoning 1
Year 2 - Quantitative Reasoning 2
Year 3 - Functions, Finance, and Statistics
Year 4 - Statistics (AP)

Pure Math Track
Year 1 - Geometry (H)
Year 2 - Algebra II (H)
Year 3 - Precalculus (H) or Precalculus Advanced (H)
Year 4 - Calculus AB (AP) or Calculus BC (AP)
Electives: Statistics (AP) or Computer Science (AP)

Quantitative Reasoning 1 and 2

During these courses, students will learn traditional material from Algebra 1 and 2 and Geometry, with the focus being on problem solving and critical thinking. However, our ultimate goals are for students to develop a growth mindset, to cultivate a curiosity/passion for mathematics, and to create an excellent foundation for further study of applied mathematics. In addition, we will prepare students to excel on the quantitative reasoning sections of ACT/SAT standardized tests.

Functions, Finance, and Statistics (F2S)

The Functions, Finance, and Statistics (F2S) course focuses on mathematical applications. During the first semester, students delve into topics discussed in traditional a Precalculus course (Functions), and also add material from Finite Mathematics (specifically, the Finance part of the class, but also material in linear modeling). Unlike a traditional Precalculus course, however, the focus here is on applications, especially the use of technology (such as the TI-84+ graphing calculator and Microsoft Excel) to tackle challenging problems. Project-based learning is used extensively. The course shifts full-time to Statistics in January, which prepares them nicely to take the second year of this course—AP Statistics. Students will already have learned some of the material in the AP Statistics curriculum, and will spend the next year exploring more deeply the details of more advanced Statistics.

AP Statistics

Having already begun the AP Statistics curriculum in F2S, we allow students to delve deeply into the subject matter during the senior year. Past AP problems are used extensively, as well as problem-based learning. The potential for the application of statistics is broad, and we see examples of this application in many different fields. Students develop analytical and critical thinking skills as they learn to describe data patterns and departures from patterns; plan and conduct studies; use probability and simulation to explore random phenomena; and estimate population parameters, test hypotheses, and make statistical inferences.


Pure Math (Honors and AP)

Honors- and AP-level mathematics courses at Asheville School are both demanding and rewarding for students desiring rigorous coursework in the company of like-minded students. Some of our students have shown excellent achievement and aptitude for mathematics at previous schools, and therefore begin their careers at Asheville School in honors-level courses. This process is by far the preferred means by which students will take honors-level courses. Successful honors- and AP-level students will demonstrate the following characteristics:

● Dedication to pursuing difficult subjects, consistent persistence, and the tenacity to understand and to solve problems

● Ability to connect ideas and topics, to demonstrate detailed and logical problem solving, and to work at a quick pace

● Willingness to take problem-solving risks, especially when uncertain regarding the correct approach

● Desire and ability to read and to interpret mathematical theorems

● Willingness to work with peers on a regular basis

● Commitment to presenting work accurately and neatly, demonstrang a step-by-step method

● Willingness to self-teach material, using a textbook and other resources to find similar problems and examples

● Independence and ownership of the material

● Dedication to mastery on a daily basis

● Enthusiasm for learning mathematics

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