The Mathematics Department of Loyola Academy offers courses in Algebra, Geometry, Pre-Calculus, Calculus and Statistics at all levels from introductory to Honors and Advanced Placement. While only three years of math are required for graduation, the majority of our students take courses for four years. The Mathematics Department provides a challenging, thought-provoking curriculum that is intellectually stimulating and college preparatory in nature, regardless of track level.
In addition to traditional course work, students can apply to participate in the Clavius Scholars program.
The Mathematics Department furthers its commitment to high quality education through the selection of first-rate textbooks and integration of technology. Students are required to purchase a TI-83 or TI-84 graphing calculator, which is incorporated into instruction. Teachers utilize computer labs and classroom computers for exploration and demonstration, further integrating technology into instruction.
This required course for M411 students will focus on skills such as note-taking, summarizing, and iPad usage. In addition, the course will cover topics such as the real number system, operations with integers and rational numbers, order of operations, simplifying and evaluating variable expressions.
This first-year algebra course includes topics such as operations with polynomials, solving linear and quadratic equations, solving inequalities, writing and graphing linear equations, an introduction to functions, systems of linear equations and inequalities, word problems, rational expressions and equations, and radicals. A student’s entrance exam score determines placement in this course.
This course includes a thorough review of Algebra 1 followed by a continuation of the fundamentals of Algebra 2 including operations with polynomials, solving linear and quadratic equations, real and complex numbers, logarithms, graphing on the coordinate plane, inequalities, functions, and sequences and series. Geometry is a prerequisite.
This course includes a brief review of Algebra 1 followed by a continuation of the fundamentals of Algebra 2, including operations with polynomials, solving linear and quadratic equations, real and complex numbers, conics, logarithms, graphing on the coordinate plane, inequalities, functions, and sequences and series. The course uses instructional strategies to promote proactive students who consistently use critical-thinking skills to complete course assignments. Assessments place less emphasis on basic skills and greater emphasis on application and analysis of content. Geometry is a prerequisite.
This course includes a brief review of Algebra 1 followed by a continuation of the fundamentals of Algebra 2, including operations with polynomials, solving linear and quadratic equations, real and complex numbers, conics, logarithms, graphing on the coordinate plane, inequalities, functions, and sequences and series. The course uses instructional strategies to promote proactive students who consistently use critical-thinking skills to complete course assignments. Assessments place less emphasis on basic skills and greater emphasis on application and analysis of content. Geometry is a prerequisite.
This course is comparable to a college-level calculus course. Topics include limits, continuity, derivatives and their applications, integrals and their applications, slope fields, and motion in the plane. The course requires the use of a graphing calculator with functions (i.e. T1-83 Plus or T1-84 preferred). Students enrolled in this course are required to take the national AP exam in AB Calculus. Honors Precalculus is a prerequisite or Precalculus Level 6 with chair approval.
This course is the equivalent of a full-year of college-level calculus. Topics include limits, continuity, derivatives and their applications, integrals and their applications, improper integrals, slope fields, Euler’s method, motion in the plane, parametric and polar functions, and sequences and series. Based on this examination, the student’s college will determine the amount of advanced placement and/or college credit the student will receive. Honors Precalculus is a prerequisite. Students are required to take the national AP exam at the end of the course.
This is a full year non-calculus based college-level course covering the major concepts and tools for exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students make the connections between data distributions and probability to understand and utilize inferential techniques. This is a course for first year Clavius students as well as all students who have completed Honors Algebra 1. Students are required to take the national AP Statistics exam at the end of the course.
This course is the equivalent to one semester of college-level calculus. A brief review of precalculus topics includes linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. The topics from calculus include limits, continuity, derivatives and their applications (specifically, related rates and optimization problems), definite and indefinite integrals using substitution, and integration by parts. This course uses instructional strategies to promote proactive students who consistently use critical-thinking skills to complete course assignments. Assessments place less emphasis on basic skills with greater emphasis on application and analysis of content. Precalculus is a prerequisite.
This is a non-calculus based college-level course that introduces students to ideas and techniques from discrete mathematics that are widely used in computer science, data networking, and engineering. This course teaches the students techniques in how to think logically and mathematically, and apply these techniques in solving problems. To achieve this goal, students will learn logic and proof, sets, functions, as well as algorithms and mathematical reasoning. Key topics involve relations, graphs, trees, and formal languages and computability. Upon successful completion of this course, students earn weighted points on their transcripts equivalent to those given to students in AP classes. Honors Precalculus (M459) is a prerequisite.
This course includes the study of plane and solid geometry with an emphasis on problem solving rather than on mathematical proof. Topics include points, lines, planes and angles, properties of polygons and circles, perimeter and area, similarity, congruence, surface area and volume of solids, special right triangles, and trigonometry. Algebra 1 is a prerequisite.
This course is an intuitive approach to geometry; the course is not proof intensive. Topics include parallel and perpendicular lines, congruence and similarity of triangles and other polygons, right triangle trigonometry, properties of circles, area, surface area, and volume of geometrical figures. This course will encourage the student’s development of abstract and independent thinking through the use of concrete examples. Assessments emphasize basic skills with a focus on open-ended conceptual questions. Algebra 1 is a prerequisite.
This course introduces mathematical proof and logical structure through exercises in plane, solid, and analytic geometry. Topics include the basic concepts of geometry, properties of triangles, quadrilaterals, polygons, circles, solids, congruence, similarity, area, and volume. Students are course are expected to demonstrate independent inquiry and resourceful, critical, and creative thinking in class and homework assignments. Assessments in this course include application, analysis, and synthesis of content. Algebra 1 is a prerequisite. Incoming freshmen who wish to enroll in this course must demonstrate Algebra 1 proficiency on the Geometry Qualifying Test.
This first-year algebra course includes topics such as operations with polynomials, solving linear and quadratic equations, solving inequalities, writing and graphing linear equations, an introduction to functions, systems of linear equations and inequalities, word problems, rational expressions and equations, and radicals. A student’s entrance exam score determines placement in this course.
This course is designed to provide the student with an extensive Algebra 2 background. Using multiple representations, students will study linear, quadratic, higher degree polynomial, exponential, and logarithmic functions. In addition, students study complex numbers, conic sections, radicals, matrices, probability, sequences, and series. Assessments in this course include application, analysis, and synthesis of content. Geometry is a prerequisite.
In this course, topics for study include the history of computer science, Java programming, classes, methods, loops, decisions, arrays, inheritance, interfaces, polymorphism, recursion, sorting, and searching. Prerequisites include the completion of Honors Computer Science Principles (M039) and/or completion of Algebra 2 with a grade of 90 or greater and/or Honors Algebra 2 with a grade of 80 or greater.
In this course, students are introduced to the foundational concepts of computer science and how computing and technology can impact the world. With a focus on creative problem solving and real world applications, Honors Computer Science Principles aims to prepare students for college and their career. Students will use course materials to learn about the Internet and program in the JavaScript language. Completion of Algebra 1 is a prerequisite of this course.
This course introduces mathematical proof and logical structure through exercises in plane, solid, and analytic geometry. Topics include the basic concepts of geometry, properties of triangles, quadrilaterals, polygons, circles, solids, congruence, similarity, area, and volume. Students are course are expected to demonstrate independent inquiry and resourceful, critical, and creative thinking in class and homework assignments. Assessments in this course include application, analysis, and synthesis of content. Algebra 1 is a prerequisite. Incoming freshmen who wish to enroll in this course must demonstrate Algebra 1 proficiency on the Geometry Qualifying Test.
This course uses a graphing approach to understanding trigonometry and advanced algebra concepts. Specific topics include: trigonometric functions, equations, graphs, and identities; law of sines and cosines; sequences and series; conics; logarithms and exponential functions, parametric equations; polar equations and graphs; sequences and series; and an introduction to limits and derivatives. Students are expected to demonstrate independent inquiry and resourceful, critical, and creative thinking in class and homework assignments. Assessments in this course include application, analysis, and synthesis of content. Algebra 2 is a prerequisite.
This introductory college-level course includes the study of linear equations, matrices, determinants, vectors, and vector spaces. Upon successful completion of this course, students earn weighted points on their transcripts equivalent to those given to students in AP classes. AP Calculus AB (M460) or BC (M470) is a prerequisite. Students may also be taking AP Calculus concurrently.
This course is the equivalent to the third semester of college-level calculus. Topics include limits and continuity of functions of several variables, partial derivatives, LaGrange multipliers, vector-valued functions; double and triple integrals with applications; change of variables to polar, cylindrical, and spherical coordinates; and integrals over paths and surfaces. Upon succcessful completion of this course, students earn weighted points on their transcripts equivalent to those given to students in AP classes. Prerequisites include AP Calculus AB (M460) or BC (M470).
This course includes the study of trigonometry and analytic geometry from a more intuitive approach. Topics include a brief review of Algebra 2 parent functions and transformations. Trigonometry topics including right triangle trigonometry, graphs of functions and inverse functions, identities, equations, formulas, laws of sines and cosines, and polar equations and graphing. Algebra 2 is a prerequisite.
This course includes the study of trigonometry and analytic geometry from a more intuitive approach. Topics include a brief review of Algebra 2 parent functions and transformations. Trigonometry topics including right triangle trigonometry, graphs of functions and inverse functions, identities, equations, formulas, laws of sines and cosines, and polar equations and graphing. This course encourages students to develop abstract and independent thinking through the use of concrete examples. Assessments place an emphasis on basic skills with a focus on open-ended conceptual questions. Algebra 2 is a prerequisite.
This course builds upon the topics studied in Algebra 2 and includes the study of trigonometry. Topics include polynomials; trigonometric functions and their graphs; analytic trigonometry; polar equations and their graphs; and sequences and series. This course uses instructional strategies to promote proactive students who consistently use critical-thinking skills to complete course assignments. Assessments have less emphasis on basic skills with greater emphasis on application and analysis of content. Algebra 2 is a prerequisite.
This full-year course provides service learning within the context of a statistics course. Students will develop strategies for collecting, organizing, analyzing and drawing conclusions from data. Students design, administer and interpret results from surveys and experiments. Sampling distributions provide the underlying logic for confidence intervals and significance tests. Students will use graphing calculators and Minitab statistical software to analyze data, investigate statistical concepts and perform inference. Course content will be developed to offer problem-solving and analytical resources gained through classroom learning to solve an identifiable need of a community partner through aspects of the Ignatian Service Learning program, which challenges students to integrate academics, service experiences and their faith.