Mathematics

2 Semesters

Students will review solving and graphing linear equations, inequalities, and systems. Students will then study topics that include: exponents and exponential functions, polynomials and factoring, quadratic equations and functions, radicals and geometry connections, rational equations and functions, and probability and data analysis. Additional topics as time allows may include: matrices and linear programming, discrete mathematics, and logic and proofs. Algebra will be used to model real-life problems and involve the use of classroom graphing calculators.

Prerequisite: Students must demonstrate proficiency in the Algebra of linear functions on the Algebra Mastery Exam given by DeLaSalle High School

2 Semesters

Students will study solving and graphing linear equations, inequalities, and systems. Students will then progress to topics that include: exponents and exponential functions, polynomials and factoring, quadratic equations and functions, radicals and geometry connections, rational equations and functions, and probability and data analysis. Algebra will be used to model real-life problems and involve the use of classroom graphing calculators or student iPads.

2 SEMESTERS

Algebra II is recommended for any student planning to enter college or technical school. Students will study these different functions: linear, exponential, logarithmic, quadratic, radical, and trigonometric. Students will also study systems of equations, polynomials, matrices, probability, and right-triangle trigonometry.  

Prerequisites: An average of C or better in both Algebra I and Geometry or a B in Intermediate Algebra and department approval. A TI-83 or TI-84 graphing calculator is required.

2 SEMESTERS

The Advanced Placement Calculus student will study in depth the usual topics of first semester college calculus: limits, continuity, differentiation and its applications, integration and its applications including elementary functions, trigonometric functions, exponential functions, and logarithmic functions. Students will prepare for, and are required to take the AP Exam in May.

Prerequisites: A B+ or higher in both semesters of Honors Precalculus or an A in both semesters of Precalculus and department approval. Summer work is required. A TI-83 or TI-84 graphing calculator is required.

2 SEMESTERS

This course continues the study of calculus. Students will review the topics of AP Calculus AB and study in depth the usual topics of second semester college calculus: parametric, polar and vector functions, graphs, limits, computation and application of derivatives, definite integration and its applications, antidifferentiation, polynomial functions and Taylor Series, and Maclaurin Series. Students will prepare for, and are required to take the AP Exam in May.

Prerequisites: A B or higher in both semesters of AP Calculus AB or an A in both semesters of Calculus and department approval. Summer work is required. A TI-83 or TI-84 graphing calculator is required.

2 SEMESTERS

AP Precalculus prepares students for college-level mathematics and science courses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. The course framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science.

An average of B or better in all semesters of Geometry and Algebra II (and/or Honors equivalent).

2 SEMESTERS

Students will learn about the methods used for collecting, analyzing, and presenting data. This senior-level class will focus heavily on statistical inference, probability, and the relationship between data. Students will be expected to complete routine assignments to prepare for the AP Statistics Exam required at the end of the second semester.

Prerequisites: Geometry and a B+ or higher in Precalculus with department approval. Summer work is required. A TI-83 or TI-84 graphing calculator is required

Math elective: Electives do not fulfill any portion of the three year requirement for graduation.

2 SEMESTERS

This course is an alternative to Precalculus and is recommended for students who would benefit from a stronger understanding of the principles and functions of algebra, as well an introduction to statistics, before moving on to a rigorous course in Precalculus. Students will extend their knowledge of linear, quadratic, exponential, logarithm, polynomial, and trigonometric equations and functions, with a new focus on statistical modeling with these functions. Statistics are introduced in the ways they used in a variety of different disciplines. Trigonometric functions are used to model periodic phenomena and include strong connections with the geometry and algebra that students have encountered in previous courses.

Prerequisites: Algebra II and department approval. A TI-83 or TI84 graphing calculator is required.

2 Semesters

The students will learn to write two-column geometric proofs using definitions, postulates, and theorems. They will study geometric figures including triangles, quadrilaterals, other polygons, and circles. The students will also study parallel and perpendicular lines, transformations in a coordinate plane, the Pythagorean Theorem, and the formulas for area and volume.

Prerequisites: Algebra I and department approval

2 SEMESTERS

The Honors Algebra II student will study the topics of Algebra II and trigonometry in addition to more modern strands of mathematics. Such topics include sequences and series, data analysis, functions, exponentials and logarithms, discrete math topics, systems of equations, polynomials, probability and statistics, relations, and trigonometric functions. The content of the course is anchored in real-world contexts and the use of the graphing calculator is integral to the course. More material will be covered and in greater depth than in the regular Algebra II course.

Prerequisites: Current DeLaSalle students must have an A average in Advanced Algebra I or Algebra I, and Geometry and department approval. Entering 9th graders must demonstrate proficiency on the Algebra Mastery Exam given by DeLaSalle High School. A TI-83 or TI-84 graphing calculator is required.

2 SEMESTERS

The Honors Geometry student will study, in greater depth, the topics of the regular Geometry course. There will be greater emphasis on deductive reasoning and on proofs in developing theorems. Students will be introduced to at least one nonEuclidean geometry in this class.

Prerequisites: A B+ or higher in Honors Algebra II or an A in both semesters of Algebra I or Advanced Algebra I and department approval.

2 SEMESTERS

Intermediate Algebra will strengthen and expand student understanding of fundamental concepts from Algebra, serving as a bridge between Algebra I and Algebra II. Students will study a variety of basic mathematical functions from the three perspectives of equations, tables of values and graphs. This course will also enhance the student’s experience and familiarity with variable and multivariable expressions and equations. The development of proficiency in Algebra I topics and an introduction to Algebra II topics, as well as problem solving skills will be emphasized. Students will work on practice questions to help prepare for the ACT and SAT tests.

Prerequisites: Algebra I and Geometry and department approval

2 SEMESTERS

This elective course is necessary for any student planning to enter a college program in mathematics, science, or computer science. It is recommended, however, as part of any college preparatory program and serves as a prerequisite to Calculus. Students will develop a deeper understanding of the fundamental concepts of algebra, trigonometry, and analytic geometry. Algebra and trigonometry will be used to model real-life problems and the course material will foreshadow important ideas of Calculus. Students study the following major groups of functions and graphs: polynomial, power, rational, exponential, logarithmic, and trigonometric.

Prerequisites: A C or better in both semesters of Algebra II and department approval. A TI-83 or TI84 graphing calculator is required.

2 SEMESTERS

Students will learn about the methods used for collecting, analyzing, and presenting data. This junior/seniorlevel class will focus heavily on statistical inference, probability, and the relationship between data. Students in Statistics will be expected to complete routine assignments using Microsoft Excel and real-world data in order to further their knowledge of the subject.

Prerequisites: Geometry and a C or higher in both semesters of Algebra II with department approval. Some summer work is required. A TI-83 or TI-84 graphing calculator is required.

Math elective: Electives do not fulfill any portion of the three year requirement for graduation.