The Mathematics Department of Cabrini High School strives to provide its students with the knowledge necessary to ensure success in future mathematical endeavors. The math faculty is committed to meeting the individual needs of all students. Two major priorities of the department are to develop an excitement for the wonder and structure of math and to build confidence in the students' abilities for problem solving.
All students are required to take four (4) years of mathematics. Eighth graders who take Algebra I, freshmen who take Geometry, and a select group of sophomores who take Geometry and Algebra II concurrently are able to take advanced Math as juniors and Calculus as seniors. The majority of students begin with Algebra I then continue with Geometry, Algebra II, and Advanced Math. However, students who are not prepared to take Algebra I may begin with Introductory Algebra, then continue with Algebra I, Geometry, and Algebra II.
Cabrini offers students the ability to have their individual math needs met through Math labs held during the school day and after school sessions with math teachers. Students who excel in their mathematical skills are placed in honors courses. All math classes are kept small so that teachers may frequently have one-on-one contact with their students. Technology is integrated throughout the curriculum with the use of computers, graphing calculators, and calculator-based labs.
Courses noted with an asterisk (*) are offered at the Honors level.
This is a course designed to teach the basic problem-solving skills of mathematics. The student is introduced to the structure of the real number system and its properties. Topics include operations on signed numbers, factoring, solving first degree equations and inequalities. An emphasis is placed on solving word problems and logical organization.
Geometry is the study of size, shape and other properties of the objects around us. It is a mathematical system in which a few basic statements are agreed upon and then used to discover results by logical reasoning. Emphasis is placed on developing logical thinking skills. Topics covered include congruent triangles, parallel and perpendicular lines, polygons, and 3-dimensional figures.
Algebra II continues the study of the real number system and algebraic operations on the real numbers begun in Algebra I. Particular emphasis is placed on expanding the concept of exponents, solving higher degree equations, matrices, and understandin g a wide variety of word problems. Geometry is integrated into the course whenever possible. Finally, the student is introduced to complex numbers, conic sections and logarithms.
The aim of a more advanced course in mathematics is to go beyond mere computational skills and to develop some understanding of fundamental mathematical concepts. Advanced Math, designed for the college-bound student, is a continuation and extension of Algebra II. It begins with a few advanced algebraic topics such as sequences, series, and probability. It then continues with a study of the six trigonometric functions as applied to acute angles, angles of any measure and real numbers. Topics such as graphs of trigonometric functions, solutions of trigonometric equations, identities and inverse functions are also studied.
Calculus is the mathematics of change and motion. The course involves integration and application of concepts learned in Algebra, Geometry, and Trigonometry. Calculus provides the methods for solving two large classes of problems: the first involves finding the rate at which a variable quantity is changing, and the second involves finding the distance a moving body has traveled. Topics include limits of continuous functions, derivatives of functions, and integration of functions.
Probability & Statistics
In this one-half (1/2) credit elective course, students will develop an appreciation for the role of probability and statistics in real world applications. Students will explore probability with a variety of hands-on activities using dice, coins, cards, and spinners. Statistics will be investigated with data students collect themselves (from surveys) and with data from newspapers and magazines. Knowledge gained from this course can improve students' understanding and grades in math classes here in high school, improve ACT/SAT scores, and give a foundation for later statistics courses in college in fields of business, economics, other social ciences, politics, scientific research, health, medicine, and education.
Date updated: 10/1/01