This course strengthens and expands students’ algebraic skills and understanding while integrating Geometry throughout the course of study. The logical reasoning abilities developed during an algebra course promote deeper critical thinking and problem-solving prowess that will serve learners throughout their lives. It will also build students’ confidence and facility with mathematical problem solving using linear equations, systems of equations, quadratic equations, graphing data and functions, and understanding the meanings of those graphs. Other skills include factoring, multiplication of binomials, basic operations with polynomials, coordinate geometry, and the use of formulas with symbols. All of the concepts will include integrated topics in geometry. Upon completion of this course, students will have a solid understanding of basic algebraic techniques along with exposure to geometry concepts in area, perimeter, volume, two and three-dimensional figures, the Pythagorean Theorem, and similarity in triangles, to name a few. 

This course develops one’s reasoning ability through studying patterns in shapes in two and three dimensions. Integrated Geometry goes beyond that in applying learned geometric skills to real life situations. Students will continue their study of algebra through the lens of geometry. An integrated approach offers an opportunity to focus on developing conceptual understanding and to help students see how the disciplines of math are intertwined. Course content will include: coordinates, transformations, measurement, area and volume formulas, congruence and similarity, logic, trigonometry, properties of symmetry, circles, linear functions, systems of equations, and solving quadratic equations using multiple methods. 

Honors Geometry is similar in scope and sequence to its non-Honors counterpart. The main difference will be qualitative, not quantitative, which means that students will not simply do more of the same kinds of problems; rather, coursework will emphasize a more rigorous development of mathematics, and additional topics will be studied in more depth. Class and homework assignments will include independent and group projects that are designed to offer a richer selection of more challenging work. Students will be expected to assume more responsibility for their own learning; periodic reviews of performance will determine continuing Honors placement. 

The emphasis of this course is on preparing the student for success in future mathematics courses. Concepts and understandings developed in the Algebra I course are reviewed and extended. The material is presented and studied for application to real-world problems that motivate the ideas and provide opportunities for practicing the skills. Course content includes: formulas, equations, graphs, relations, functions, matrices, systems of equations, quadratics, exponential and logarithmic functions. 

The emphasis of this course is on preparing the student for success in Pre-Calculus. Concepts and understandings developed in earlier Algebra courses are reviewed and extended. The material is presented and studied for application to real-world problems that motivate the ideas and provide opportunities for practicing the skills. Course content includes: formulas, equations, graphs, relations, functions, matrices, systems of equations, quadratics, exponential, radical, logarithmic, polynomial, and rational functions with emphasis on connecting their graphs and their equations. The laws of sines and cosines and the graphs of the trigonometric functions will also be studied. 

This is an elective course for students who want to further their mathematics backgrounds and possibly continue with Calculus the following year. A full treatment of trigonometry as well as a complete understanding of the concept of a function and study of algebraic and trigonometric functions are goals of the course. Emphasis is placed on course content as well as the review and development of necessary algebraic and arithmetic skills and applications for real-world problems. 

This course aims to prepare serious, interested students for Calculus during their junior or senior years at St. Luke's. More material is studied than in the Pre-Calculus course and in more detail. Topics studied include: a thorough treatment of trigonometry, matrices, probability, conics, functions (polynomial, rational, exponential, logarithmic), and an introduction to limits. 

This course aims to provide the serious, interested student with the equivalent of a first-semester undergraduate calculus course. Definitions and theorems will be stated carefully and their understanding and use stressed. There will be some emphasis on formal proof techniques as well. The content of the course will be drawn from the College Board’s AP syllabus for Calculus AB, and generally will consist of the theory and applications of elementary functions, limits, the derivative, definite and indefinite integrals, and techniques of integration. 

This course reviews and extends the course content of the AB course to encompass all of the topics in the College Board’s syllabus for the BC course, which generally encompasses the content of a typical second semester undergraduate calculus course. These include further examples and applications of models involving differential equations, integration techniques, sequences and series, the calculus of parametric, vector and polar functions. 

This course extends topics covered in calculus of real-valued functions of one real variable as developed in AP Calculus BC. Specific areas of study include functions of two or more variables, vectors and matrices, partial derivatives, double and triple integrals, vector fields, line integrals, flux integrals, divergence, curl, and Stoke’s Theorem.