# Mathematics

• Forming Students to Think and Apply Mathematics
In keeping with the long and rich tradition of the Liberal Arts, DeSales Mathematics provides a robust program designed to form students comfortable with the abstract topics found in mathematics while also realizing the power of their applications.

Students are encouraged to take four years of mathematics.  In the one-track system, students advance as far as their ability dictates in preparation for further studies and success in their chosen profession.

Statistics (AP Statistics)
↑
Algebra → Geometry → Algebra II → Pre-Calculus → AP Calculus
↓
Algebra II

• Students with a strong aptitude in mathematics, take Algebra in their 8th grade year and finish with a full year of AP Calculus (AB and BC).
• Students who begin Algebra in their 9th grade year
o   will finish with Pre-Calculus or Statistics.
o   can also finish with two years of Algebra II.

Algebra
Algebra is the formal beginning of abstract mathematics.  The topics include single variable equation solving that include linear equations, rational equations (algebraic fractions), radical equations (square roots and cube roots), and quadratic equations.  Each of these are also studied in two variables via linear graphs and quadratic graphs.  Real-life applications are always included along with topics of probability and statistics.

Geometry
Geometry includes the study of geometric shapes and relationships.  Topics include similar figures, proportions, and congruence.  Proofs, uses of logic and deductive reasoning is developed.  Right-triangle trigonometry and analytic geometry is included.

Algebra II
A complete review of Algebra topics is followed by an introduction to advanced topics of Logarithms, Analytic Geometry, Trigonometry (including the unit circle), Sequences, Series and Limits and Probability and Statistics.

Pre-Calculus
Pre-Calculus is a thorough preparation for AP Calculus and/or AP statistics.  Topics include Functions and Functional notation, Graphing Transformations, Systems of Equations and Matrices, Exponential and Logarithmic functions, Sequences, Series and Limits, Analytic Geometry, Trigonometry (including proving identities), Probability and Statistics and introductory Calculus topics.

AP Calculus
The AP Calculus is a full year course that prepares students for either the AB or BC Calculus AP Exam.

Statistics and AP Statistics
Statistics and AP Statistics are courses that mirror what has become the most popular math course at the University level.  Topics include elements of probability, the various types of statistical studies and how to conduct them, measures of central tendency and variability, and the use of inferential methods.  The course prepares interested students for the AP Statistics exam.