200 MATHEMATICS

4133 Learning 360

Co-requisite: Enrollment in Foundations HS Math

Learning 360 is a full-year required course for freshmen enrolled in the Foundations HS Math course. Learning 360 emphasizes basic math concepts and assists students with topics covered in Foundations HS Math. 

2112 Foundations HS Math 

This course is for students who need to shore up their arithmetic and pre-algebra skills before taking Algebra I. The class will include intense study and drill of arithmetic concepts, including operations on integers, fractions, and decimals; a thorough treatment of percent; arithmetic word problems; and pre-algebra concepts to prepare for Algebra I. 

212 Algebra I (Academic) 

Students in this course may or may not have had an algebra course in an earlier grade, but are expected to have mastered the arithmetic skills necessary for success in high school-level mathematics. Since proficiency with signed numbers, fractions, decimals, and percents are fundamental to success in ensuing high school mathematics classes, students are regularly assessed on these skills as well as on the course material. The successful student in this course is willing to practice each concept thoroughly and understands that the concepts in this course are the foundation of high school and college mathematics.

2141H Enriched Algebra I (Honors) 

Prerequisites: Departmental approval

This course is the first of an honors track that typically culminates in AP Statistics or AP Calculus. Topics of study include linear equations and inequalities, systems of linear equations, functions, exponential expressions and equations, operations with polynomials, quadratic equations, and radical expressions. This course encourages students to develop a deep conceptual understanding and apply ideas in the context of a problem situation.

231 Geometry (Academic) 

Prerequisite: Algebra I , This course is for sophomores and juniors only

This course includes a thorough study of plane geometry, including its formation, language, and applications.  The investigation of two-dimensional geometric figures leads students to the study of three-dimensional objects.  Students will explore the construction of geometric figures, develop a foundation in the formal geometric postulates and theorems, and apply logical thinking to problem-solving and proofs.

2310H Geometry (Honors) 

Prerequisite: Algebra I (Honors) 

This course is designed for the above-average math student who can handle a faster-paced course as well as an in-depth study of the topics.  This course includes a thorough study of plane geometry, including its formation, language, and applications.  The investigation of two-dimensional geometric figures leads students to the study of three-dimensional objects.  Students will explore the construction of geometric figures, develop a foundation in the formal geometric postulates and theorems, and apply logical thinking to problem-solving and proofs.  The content is covered at a faster pace and includes more challenging applications so as to prepare students to take AP math classes in the future. 

222 Algebra II (Academic) 

Prerequisites: Algebra I and Geometry 

This course is geared toward juniors and seniors completing the standard college preparatory sequence of Algebra I, Geometry, and Algebra II. Topics of study include linear functions, systems of linear equations, exponents and polynomials, quadratic functions, radical expressions and functions, exponential and logarithmic functions, and statistics and probability. Students will deepen their understanding of key algebra concepts and preview topics that will be important in advanced math courses.

2220H Algebra II (Honors) 

Prerequisites: Algebra I (Honors) and Geometry (Honors)

This is an accelerated course in Algebra designed for students who intend to take Calculus while in high school. Algebra II explores more complex algebra problems, including solving and graphing linear, quadratic, exponential, rational, and logarithmic functions. The honors level Algebra II course will cover material at an accelerated rate. Emphasis will be placed on solving more challenging problems to better prepare students for higher math. A TI-84 (or equivalent) graphing calculator is required for this course.

2410H Precalculus (Honors) 

Prerequisites: Algebra II (Honors)

This course covers the final advanced algebra topics, trigonometry, and the preliminary calculus topics of sequences and series, mathematical induction, probability, and limits and derivatives of basic functions. The majority of the material is presented and applied in both an algebraic and graphing/data analysis approach. This is an upper-level elective math course at Juan Diego, the successful student in this course will be able to use the textbook examples as well as class examples to aid learning. The successful student will also be willing to use class time effectively for both lectures/presentations and independent/group practice problems. A TI-84 (or equivalent) graphing calculator is required for this course.

2415AP AP Precalculus $$

Prerequisite: Algebra II Honors and teacher recommendation

AP Precalculus is equivalent to a one-semester, college-level precalculus course. Students will develop mathematical skills of procedural fluency, multiple representations, and communication and reasoning. To develop these skills, students will study polynomial and rational functions, exponential and logarithmic functions, and trigonometric and polar functions. Additional topics not tested on the AP Precalculus exam include functions involving parameters, vectors, and matrices. Students must have a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere desire to do well on the AP examination. A TI-84 (or equivalent) graphing calculator is required for this course.

2338 Intro to College Math

Prerequisite: Algebra II Academic

This seniors-only course is required for students who have completed Algebra II Academic. Intro to College Math will review various topics from Algebra I, Geometry, and Algebra II, and will include work on arithmetic proficiency as well. 

2339H College Math Preview (Honors)

Prerequisite: Algebra II (Honors) or higher

This seniors-only course is the culmination of Algebra I, Geometry, and Algebra II. While reviewing various concepts, students will study applied topics that often appear in college-level math classes. These topics include: logic, organizing data, and introductory statistics, probability, financial formulas, triangle trigonometry, and other ideas as time permits.. A TI-84 (or equivalent) graphing calculator is required for this course.

2350AP AP Statistics (Advanced Placement) $$ 

Prerequisite: Algebra II (Honors) 

AP Statistics covers the topics of a modern introduction to a statistics course. The topics are studied within the framework of three big ideas: Variation and Distribution, Patterns and Uncertainty, and Data-Based Predictions, Decisions, and Conclusions.  The emphasis will be on clearly defining the questions to be investigated, gathering and organizing data, producing informative graphical and numerical summaries, modeling relationships, making inferences and decisions while accounting for uncertainty in the data, and clearly communicating results in the context of the study. Students must have a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere desire to do well on the AP examination. This course contains a summer component that is completed online with our Canvas virtual classroom. A TI-84 (or equivalent) graphing calculator is required for this course.

242AP AP Calculus AB (Advanced Placement) $$ 

Prerequisite: Precalculus (Honors) or AP Calculus

AP Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques, and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, and to perhaps a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course. Students must have a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere desire to do well on the AP examination. A TI-84 (or equivalent) graphing calculator is required for this course.

2450AP AP Calculus BC (Advanced Placement) $$ 

Prerequisite: AP Calculus AB or Departmental approval

The material covered in AP Calculus BC is equivalent to that of Calculus I and Calculus II at a university. In addition to all of the material covered in the AP Calculus AB course (noted above), this course includes differentiation of polar, parametric, and vector-valued functions, as well as some advanced integration techniques, including integration by parts and partial fractions. Beyond these add-ons to AB topics, a great deal of time is spent on sequences and series, a major component of BC Calculus. Because of the accelerated pace and rigor of this class, students who enroll in this course must be willing to spend extra time in study, participate in study groups, and/or to schedule meeting times with the instructor in order to meet the challenges this course affords. A TI-84 (or equivalent) graphing calculator is required for this course.