Galileo said, “Mathematics is the language God used to create the universe,” and Algebra is the language of mathematics, which makes its understanding both crucial and divine. Therefore, we begin with a rigorous review of all the algebraic topics included in an 8th grade curriculum. These topics include order of operations, properties of real numbers, signed numbers, algebraic expressions, multistep equations and inequalities, and graphing linear equations. Then the remaining Algebra I topics are investigated. These include compound inequalities, equations and inequalities containing absolute values, transformations of functions, graphing, writing, and using linear functions, systems of equations, exponential, polynomial, quadratic, and radical functions and equations, and data analysis and displays.

Elective: 5 credits

Prerequisites: Placement by math department

This course will review concepts studied in Algebra I, including using transformations to graph absolute value functions, solving systems of linear equations, and factoring. Then it will cover quadratic functions, quadratic equations and complex numbers, polynomial functions, rational exponents and radical functions, exponential and logarithmic functions, rational functions, and sequences and series. If time permits, right triangular trigonometry will be covered.

Required: 5 credits

Prerequisites: Geometry CP

This course extends the concepts studied in Algebra I along with introducing more advanced topics including sequences and series, polynomial functions, exponential and logarithmic functions, rational functions, periodic functions, trigonometry, and operations with complex numbers. Applications of mathematics are including data analysis and modeling.

Elective: 5 credits

Prerequisites: If in Honors Geometry, a final grade of 80 or above; If in Geometry CP, a final grade of 90 or above. Sophomores have the option of taking both Honors Geometry and Honors Algebra II. In this case, a minimum grade of 90 in Honors Algebra I is required.

The unifying concept of this course is the function. This course will connect a variety of functions: linear; quadratic; power; exponential; logarithmic; and trigonometric, along with their life application. Students will approach these functions graphically, numerically and analytically. Students will have the opportunity to continue the practice and understanding of algebraic skills and concepts. Technology will be integrated throughout the course. This study brings a deep appreciation of the order and beauty of God’s creation. The scientific calculator, TI-Nspire CX CAS, is required.

Elective: 5 credits

Prerequisites: Final grade of 70 or above in Algebra II

This course strengthens students’ understanding of functions in preparation for the process of differentiation and integration by reviewing graphing techniques, different coordinate systems, the Binomial Theorem, DeMoivre’s Theorem, and limits and continuity. Calculus concepts explored include the various rules of differentiation, which will be derived, applications of the definite integral, the anti-derivative and integral, leading to the techniques and uses of integration. Throughout all the discussions and discoveries, God’s amazing influence and hand will lead the way.

Elective: 5 credits

Prerequisites: Precalculus

The unifying concept of this course is the function. Many facets of everyday life as well as the created world can be described by functions. Trigonometric functions are introduced in terms of the unit circle and the right triangle. Applications of circular triangle trigonometry are considered along with the periodic nature of trigonometric functions that enables students to mathematically model periodic data from the world around us. This course includes a detailed study of quadratic, power, polynomial, exponential, logarithmic, and logistic functions. This study brings a deep appreciation of the order and beauty of God’s creation. Students will approach these functions graphically, numerically and analytically. Mathematical practices are integrated throughout the course, focusing on reasoning, connections, notational fluency and communication. The scientific calculator, TI-Nspire CX CAS, is required.

Elective: 5 credits

Prerequisites: Currently taking Honors Algebra II and final grade of 80 or above

This course introduces the fundamental concepts of calculus and enables students to study mathematical functions and the way they change. Calculus is an awesome tool that God has given to us to describe His world. The course covers the fundamentals of both differential and integral calculus, stressing both a conceptual understanding of the learning objectives and the application of the course topics to solving problems. Mathematical practices are integrated throughout the course, focusing on reasoning, connections, notational fluency and communication. The course is aligned with The College Board AP Calculus AB Course and Exam Description.

Elective: 5 credits

Prerequisites: Currently taking Honors Precalculus with a final grade of 85 or above

This course uses an inductive approach to learning concepts of geometry. Topics include similarity, congruence, right triangle relationships including basic trigonometric functions, area, and volume. The formal proof is introduced to emphasize logical reasoning and accurate thinking. Algebraic skills are reviewed and strengthened through application to solving problems in geometry.

Required: 5 credits

Prerequisites: Algebra I

This course is taught to help students develop a solid foundation of geometric ideas. Using inductive reasoning, students are encouraged to recognize patterns and to develop conjectures. Students use formal proofs to demonstrate the validity of these conjectures. Geometry’s emphasis on logical reasoning and accurate thinking improves a student’s communication skills in all areas of life. Algebraic skills are reviewed and strengthened through application to solving problems in Geometry.

Elective: 5 credits

Prerequisites: If in 8th grade Algebra, a final grade of 90 or above; if in Honors Algebra I, a final grade of 80 or above; if in Algebra I CP, a final grade of 90 or above

This course presents a variety of topics that will be both interesting and important in the preparation for undergraduate mathematics for a variety of majors. It is a full-year course investigating graph theory, scheduling algorithms, statistics, voting methods with combinatorics, fairness, apportionment, game theory, fractals and chaos, information science, and more. Technology and God’s design work in harmony as students consider His world through the lens of Discrete Mathematics.

Required: 5 credits

Prerequisites: Honors Algebra II or Algebra I CP