Mathematics

be given to exploration of major vocational choices adults are faced with. In addition, students will seek a greater understanding of the meaning of Christian discipleship through a survey of and study of Christian writers including Matthew Kelly, Thomas Merton, and C.S. Lewis. • Catholic Leadership and Ministry (3995): [Prerequisite: Application, Interview, Departmental Approval] Catholic Leadership & Ministry engages students in developing an understanding of the theology, principles, and practices of leadership within Catholic-Christian ministry and service. Students survey Christian perspectives on leadership and develop skills thereof, explore the relationship between Catholic spirituality and active ministry, and examine their individual faith lives and that of the school community. The course combines classroom and experiential learning by forming students into a ministry leadership team which develops and leads faith experiences for the school community such as retreats, prayer services, faith sharing groups, peer mentoring, and service opportunities.

The Math Department seeks to challenge students through an integrated curriculum where skills and concepts are taught in a continuous manner, so that each course is not an isolated learning experience but rather part of a larger process. The goal is to have students well prepared for college and well equipped with critical-thinking and problemsolving skills that they can use in any career choice.

Sequencing Map for the Class of 2023 and 2024:

Year Standard A Standard B Accelerated Double Accelerated

Freshman Foundational Algebra Algebra 1 Geometry Algebra 2

Sophomore Algebra 1 Geometry Algebra 2 PreCalc/Trig

Junior Geometry Algebra 2 PreCalc/Trig AP/DC Calc 1

Senior Algebra 2 PreCalc/Trig AP/DC Stats AP/DC Calc 1 AP/DC Stats

AP Calc 2 AP/DC Stats

Sequencing Map for the Class of 2025 and 2026:

Year Standard Accelerated Double Accelerated

Freshman Algebra 1*. Geometry (H) Algebra 2 (H)

Sophomore Geometry Algebra 2 (H) DC PreCalculus

Junior Algebra 2 DC PreCalculus AP/DC Calculus 1

Senior PreCalculus DC Statistics Practical Math

AP/DC Calculus 1 AP/DC Statistics AP/DC Computer Science

AP Calculus 2 AP/DC Statistics AP/DC Computer Science

*Students may be placed into Algebra 1, Algebra 1 Enhanced, or Algebra 1 Honors. • Placement is determined by the Marmion Math Placement Exam (see page 3). • Students can advance from one track to another by taking the Algebra 2 Honors course during the summer at Marmion. Additional opportunities to test out of Algebra 1 and Geometry can be pursued through the

Marmion summer program. • All students are required to have a TI-83/84 graphing calculator. • All Mathematics courses meet 5 days per week and count for 1 credit unless otherwise noted.

Algebra 1 (4013 - Regular / 4003 - Enhanced / 4010 - Honors) Full Year Required Course Regular, Enhanced, or Honors Credits = 1.0 (NCAA)

Algebra 1 is the skill building, gateway course to all upper level mathematics. In this class, the students learn to compute accurately, simplify algebraic expressions, write and solve equations, and investigate functions and their graphs. The Algebra skills are modeled in class, and then the students work collaboratively on many practice problems before they demonstrate their understanding through homework sets, quizzes and tests. Geometry (4313 - Regular / 4310 - Honors) Full Year Required Course, Honors and Regular Prerequisite: Algebra 1 or Placement Exam Credits = 1.0 (NCAA)

Geometry is a course that provides students with opportunities to deepen their understanding of two and threedimensional objects and their properties. Deductive and inductive reasoning as well as investigative strategies in drawing conclusions are stressed. Properties and relationships of geometric objects include the study of: (a) points, lines, angles, and planes, (b) polygons, w/ special focus on quadrilaterals, triangles, and right triangles, and (c) circles. Students also develop an understanding of proof and logic through a curriculum that is designed to ultimately have the students approach a problem or real-life situation in a logical way. Class projects and technology, such as graphing calculators, are used to reinforce these concepts and to develop a deeper understanding of the material.

Algebra 2 (4223 - Regular / 4220 - Honors) Full Year Required Course, Honors and Regular Prerequisite: Algebra 1 & Geometry Credits = 1.0 (NCAA)

In Algebra 2, the concepts from Algebra 1 are brought back and studied at a more in-depth level of understanding. Topics include: solving and graphing functions and equations; solving systems of equations; working with matrices and geometric transformations; quadratic equations and parabolas; the complex number system; polynomials; developing the binomial theorem; radical functions and rational exponents; exponential and logarithmic functions; rational functions; the various conic sections; and arithmetic and geometric sequences and series.

Pre-Calculus with Trigonometry (Dual Credit with Honors option) (4433 - Regular / 4435 - Honors) Full Year Course – JR/SR Elective Prerequisite: Algebra 2 Instructor Recommendation / Department Approval / Director of Student Academic Services Approval / Dual Credit Qualification for Honors Course Dual Credit Qualification: ACT Math Score of 22 or higher (SAT 530 or higher) or attain a passing score on Waubonsee placement testing Course Fee: $72.00 Dual Credit Fee (Dual Credit Only) Credits = 1.0 (NCAA) Pre-Calculus is designed to prepare students for university-level mathematics, including AP Calculus. Students will be challenged to look at problems from the perspectives of algebra and geometry while being introduced to some concepts of calculus, such as limits and derivatives. This course covers concepts of trigonometry, including the trigonometric functions, identities, vectors, parametric equations and polar coordinates. Other topics include: modeling with polynomial, exponential and logarithmic functions; systems of equations with emphasis on matrices; analytic geometry; and, discrete mathematics (probability, sequences and series). Technology such as graphing calculators and computers will be used to enhance the curriculum. The honors section will offer Dual Credit through Waubonsee Community College for MTH 129/130.

Modeling Practical Mathematics (4513) Full Year Course – Senior Elective Prerequisite: Algebra 2 Instructor Recommendation / Department Approval Credits = 1.0 (NCAA)

This senior level course will investigate and analyze a variety of advanced topics in mathematics. Students will compile, interpret, and breakdown data, develop presentations, compare and contrast ideas, formulate uses of technology, defend their opinions, summarize written articles, and work collaboratively. Students will use PowerPoint and Excel as technology resources to illustrate data and construct presentations. The following topics will be covered: Urban Services, Planning and Scheduling, Exploring Data Relationships, Social Choice, Election and Voting Systems, Information Science, Growth and Form, Savings Models, Borrowing Models, The Economics of Resources, Apportionment, Game Theory, Probability, Identification Numbers, Fair Division, Symmetry and Patterns, Business Efficiency, Linear Programming, and Tilings. Students will also learn how to calculate statistics from major sports including baseball, football, basketball, and hockey. Students will discover practical uses for mathematics outside of the classroom. Students will discover how mathematics is used in business, politics, retail, and sports. Students will illustrate and model mathematics in a way that others can understand.

Calculus 1 (4713) Full Year Course – JR/SR Elective Prerequisite: Pre-Calculus plus Instructor Recommendation / Dept. Approval Credits = 1.0 (NCAA)

Calculus 1 is a challenging, upper-level math course that offers students a first-hand look at the deep integration between math and physics. Topics covered include: Limits; Continuity; Rates of Change; Differentiation; Applications of Derivatives (including problems from Physics, Economics, and other fields); Integrals; Differential Equations; Applications of Definite Integrals; and L’Hopital’s Rule. Students are given the option to also take the AP Exam at the end of the course.

Advanced Placement/Dual Credit Calculus 1 (4705) Full Year Course – JR/SR Elective Prerequisite: Pre-Calculus Honors Instructor Recommendation / Dept. Approval / Dual Credit Qualification Dual Credit Qualification: ACT Math Score of 28 or higher (SAT 660 or higher) or attain a passing score on Waubonsee placement testing or successful completion (B- or higher) in PreCalculus Honors/Dual Credit Course Fee: AP Exam Expected (for Seniors only) – Current AP Exam Fee Applies, $36.00 Dual Credit Fee Credits = 1.0 (NCAA)

AP Calculus 1 is a challenging, upper-level math course that offers students a first-hand look at the deep integration between mathematics, science, and industry. Topics covered include: Limits; Continuity; Rates of Change; Differentiation; Applications of Derivatives (including problems from Physics, Economics, and other fields); Integrals; Differential Equations; Applications of Definite Integrals; and L’Hopital’s Rule. This course satisfies both the AP Calculus AB curriculum and the Waubonsee Community College Math 131 curriculum. Dual Credit will be offered for this course through Waubonsee Community College for MTH 131. At the end of the course, senior-level students are expected to take the AP Calculus AB Exam, which can earn college credit for one semester of college-level Calculus. Underclassmen students may take the AP exam or wait to take the AP Calculus BC exam. Advanced Placement Calculus 2 (4720) Full Year Course – Senior Elective Prerequisite: AP Calculus 1 Instructor Recommendation / Department Approval AP Exam Expected – Current AP Exam Fee Applies Credits = 1.0 (NCAA)

Advanced Placement Calculus 2 is a challenging, upper-level math course that reviews the topics covered in Advanced Placement Calculus 1 in greater depth and detail. In addition, Improper Integrals, Power Series, Taylor Series, Sequences and Series, Convergence Testing, Parametric Functions, Vectors, and Polar Functions are covered to complete the material for the BC Calculus Exam. Once the material for the BC Calculus Exam is covered, other

topics in Multivariable Calculus, Differential Equations, Linear Algebra, Real Analysis, and Discrete Mathematics are explored. Students are expected to take the AP Calculus BC Exam, which can gain college credit for two semesters of college-level calculus. The AP Calculus BC Exam score includes a Calculus AB subscore. Statistics/Dual Credit (4925) Full Year JR/SR Elective Prerequisite: Algebra 2 / Dual Credit Qualification Dual Credit Qualification: ACT Math Score of 22 or higher (SAT 530 or higher) or attain a passing score on Waubonsee placement testing Course Fee: $36.00 Dual Credit Fee Credits = 1.0 (NCAA)

This course is the regular, non-honors, non-AP equivalent of the course listed below. The same topics will be covered, but not to the same level of depth as the AP course. Students taking this course still have the option of taking the AP Statistics exam, but it is not an expectation. Dual Credit Statistics is a course that explores four main areas of the subject: organizing data, designing data collection, probability, and inference. Students learn to use computers and graphing calculators to assist them in their work. They solve statistics problems using real data collected by real statisticians to discover relationships in science, medicine, sports, social sciences, and everyday living. This course offers Dual Credit through Waubonsee Community College for MTH 107, which satisfies the gen-ed math requirement for most non-math/science college majors.

Advanced Placement/Dual Credit Statistics (4915) Full Year JR/SR Elective Pre-requisite: Algebra 2 Instructor Recommendation/Department Approval/Dual Credit Qualification Dual Credit Qualification: ACT Math Score of 22 or higher (SAT 530 or higher) or attain a passing score on Waubonsee placement testing AP Exam Expected – Current AP Exam Fee Applies Course Fee: $36.00 Dual Credit Fee Credits = 1.0 (NCAA)

Advanced Placement Statistics is a course that explores four main areas of the subject: organizing data, designing data collection, probability, and statistical inference. Students learn to use computers and graphing calculators to assist them in their work. They solve statistics problems using real data collected by real statisticians to discover relationships in science, medicine, sports, social sciences, and everyday living. This course satisfies both the AP Statistics curriculum and the Waubonsee Community College Math 107 curriculum for Dual Credit. Students are expected to take the AP Statistics Exam at the end of the course.

Advanced Placement/Dual Credit Computer Science (4815 = Normal / 4816 = J Period) Full Year Course – JR/SR Elective Offered either as a normal elective or during J Period (Mon-Fri, 7:00-7:44am) Prerequisite: Algebra 2 Instructor Recommendation/Department or Director of Student Academic Services Approval AP Exam Fee: Current AP Exam Fee Applies Course Fee: $40.00 + Dual Credit Fee: $195.00 (Paid directly to Loyola) Credits = 1.0 (NCAA)

Advanced Placement Computer Science emphasizes object-oriented programming methodology with an emphasis on problem solving and algorithm development and is meant to be the equivalent of a first-semester introductory college course in computer science. Students learn the basics of computer programming through the use of JAVA computer language and compilers. This course satisfies both the AP Computer Science curriculum and the Loyola University COMP 170 curriculum for Dual Credit. Students are able to take the AP Computer Science Exam at the end of the course.