# Mary Star of the Sea High School # Mathematics Department

MATHEMATICS DEPARTMENT

A TI-84 graphing calculator is required for all mathematics courses.

Note: An asterisk (*) following the course title indicates the course meets the
entrance requirements for UC/CSU when passed with a grade of C or better.

INTRODUCTION TO ALGEBRA I

Prerequisite: None

This course is designed to ease the transition from elementary school math to high school algebra. The text utilizes a problem solving approach, offering many examples and real world applications. Topics covered are: integers, variables and expressions, equations and problem solving, number theory, rational numbers and their applications, inequalities, linear equations, and polynomials.

ALGEBRA I *

Prerequisite: HSPT scores

This course is designed to teach students basic algebra skills. Topics of study are: operations and applications of real numbers, equations and problem solving, inequalities, polynomials, factoring, rational expressions, functions, linear equations, analytical geometry, probability, quadratic functions and equations, and systems of linear equations.

HONORS ALGEBRA I  *

Prerequisite: HSPT and Mary Star’s Math Placement Test scores, 8th grade math grades

Algebra I Honors is an accelerated and more intensive study of the topics covered in Algebra I. Additional areas of study include: radicals, an introduction to geometry,and an introduction to trigonometry.

GEOMETRY *

Prerequisite: Passing grade in Algebra I

This course emphasizes mathematics as a practical, logical, and coherent subject. Students will develop the ability to create formal arguments and prove theorems using a variety of formats including: traditional two-column proofs, using a coordinate system, and connecting algebraic and geometric definitions. Criteria for similarity and congruence, parallel and perpendicular lines, (trigonometric concepts) and the measurement and construction of two-dimensional models are among the concepts mastered. (The use of trigonometric concepts to solve problems provides additional preparation for future math courses.)

HONORS GEOMETRY *

Prerequisite: HSPT and Mary Star's Math Placement Test scores, or "B" or better in Honors Algebra I with departmental approval, or "A" in Algebra I with departmental approval

Students in this honors version of this course will cover geometric concepts at a faster pace and in greater depth than in the regular course. Problems solved will require greater mastery of mathematical vocabulary, greater analysis of what is given and what is asked for in a multi-step problem, and more complex constructions. Students will also master solving the problems in a variety of ways to judge the best approach.

INTERMEDIATE ALGEBRA *

Prerequisite: Passing grades in Algebra I and Geometry

Grade 10, 11, 12 1 year

This course provides a review of Algebra I and explores the foundation of Algebra II. A full range of topics is covered including linear equations and inequalities, polynomials, rules of exponents, factoring, probability and statistics, weighted averages, systems of equations, radical and rational expressions.  Emphasis will be placed on physical, numerical, graphical, and algebraic representations and real-life applications.

ALGEBRA II *

Prerequisite: "C" or better in Algebra I and Geometry

Grade 10, 11, 12 1 Year

This course is an extension and expansion of Algebra I. Concepts taught include linear equations, linear inequalities, functions, linear systems, polynomials, higher degree equations and inequalities, rational expressions, radicals and rational exponents, complex numbers, polynomial equations and functions, coordinate geometry, quadratic functions, logarithms, graphing transformations, probability, domain, and range.

HONORS ALGEBRA II/TRIGONOMETRY *

Prerequisite: "B" or better in Honors Algebra I and Honors Geometry with departmental or "A" in Algebra I and Geometry and departmental approval.

Grade 10, 11, 12  1 Year

This course serves as a PreCalculus class. Topics from algebra include logarithms, exponential growth and decay, linear systems, polynomials, quadratic systems, coordinate geometry, radicals, rational expressions, graphing transformations, probability, domain and range. Trigonometry topics include the six trigonometric functions and their inverses, graphing, identities, evaluating trigonometric expressions, and solving trigonometric equations. Emphasis is placed on numerical, graphical, algebraic, and verbal expressions of functions.

TRIGONOMETRY/PRECALCULUS *

Prerequisite: "B" or better in Algebra II with departmental approval, "C" or better in Honors  Algebra II/Trigonometry with departmental approval.

This course covers the concepts and skills necessary for success in a college advanced math class. The students will study the six trigonometric functions, solve triangles, verify identities, solve trigonometric equations and use polar coordinates. They will also study exponents, logarithms, sequences, polynomial equations and functions, conics and matrices.

HONORS TRIGONOMETRY/PRECALCULUS

Prerequisite:    "B" or better in Honors Algebra II/Trigonometry with departmental approval, or "A" or better in Algebra II and Geometry with departmental approval

Students will understand the following topics graphically, algebraically, and numerically: probability, polynomial equations, logarithms, trigonometric functions, polar coordinates, matrices, sequences and series, and vectors. Students will apply their knowledge in various ways through projects. Students will be able to solve problems with and without technology. Students are challenged to think critcally and "outside the box."

Prerequisite: "B" or better in Honors Algebra II/Trigonometry with departmental approval or "B" or better in Honors PreCalculus or Trigonometry/PreCalculus with departmental approval