The study of mathematics can benefit every student at St. Francis. One benefit that is easily demonstrated and evaluated is the increase in the student’s repertoire of computational skills and problem-solving abilities. Another benefit, equally important but less easily measured, is the realization on the part of the student that the problem-solving skills developed in the math class are applicable to other disciplines.
The SFHS Math department strives to promote a curriculum and classroom environment that maximizes the development of each student’s mathematical abilities and enhance her appreciation of the value of a study of mathematics.
This course utilizes resources from Harvard University’s popular CS50 course to meet the standards of AP CS Principles, a new computer science course created by the College Board and debuting in 2016-17. CS50 is Harvard’s introduction to the intellectual enterprises of computer science and the art of programming. This course teaches students how to think algorithmically and solve problems efficiently. Topics include abstraction, algorithms, data structures, encapsulation, resource management, security, software engineering, and web development. Languages include C, PHP, and JavaScript plus SQL, CSS, and HTML. Problem sets are inspired by real-world domains of biology, cryptography, finance, forensics, and gaming. CS50 is designed for all students with or without prior programming experience. UC A-G approved – g College-Preparatory Elective. NCAA approved.
Prerequisite: Completion of Algebra 1 or equivalent
This course is being offered in partnership with UC Davis’s C-STEM Center. Computer Programming with C provides students with the fundamental knowledge of computer programming for solving applied problems in C. Students learn how a computer works and structured programming in C for software development. The topics include programming constructs, data types and declaration of variables, expressions and operators, selection statements, repetition, flowcharts for algorithm development, functions for modular programming, arrays for statistical data analysis, plotting for visualizing data (using scatter plot, dot plot, bar graph, histogram, Box-and-Whisker plot, etc.), linear regression and curve fitting, pointers and dynamic memory allocation, processing data files, animation, robotics applications, and applications in math and science. The emphasis of the course is to introduce the students to software development concepts.
This course also focuses on algorithm development and computer programming for solving applied problems in science, technology, engineering and math (STEM), such as solving problems in Algebra and robotics. Considerable attention is devoted to program design, task decomposition, testing, debugging, and software reuse. Students write computer programs with graphical plotting in an integrated development environment. Through problem-based projects, students develop critical thinking, problem solving, computational thinking, effective communication, and teamwork skills. UC A-G approved – g College-Preparatory Elective. NCAA approved.
Prerequisite: Completion of Algebra 1 or equivalent.
This course is a standard first year Algebra course. Topics covered include operations with real numbers, solving and graphing linear equations, word problems, introduction to polynomials, factoring, quadratics, and radicals. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Based on entrance test scores or math placement test.
Required supplies: Texas Instruments TI-84 plus graphing calculator. NO school bus yellow calculators allowed.
Integrated Math 2 will culminate the conceptual standards of traditional Algebra 1 and Geometry courses, preparing students to matriculate into Algebra 2. The focus of Math 2 is on quadratic expressions, equations, and functions, and comparing their characteristics and behavior to those of linear and exponential relationships from Math 1. In addition, it will introduce complex numbers, explore the link between probability and data, the relationships of right triangle trigonometry, and prove basic theorems (using a variety of methods) about circles, similarity, congruence and triangles. Integrated Math 2 is comprised of standards selected from the Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability conceptual categories. UC A-G approved – c Mathematics. NCAA approved.
Geometry continues to review basic Algebra skills, but focuses on completing the common core standards for Geometry. Major topics include geometric proofs, properties of parallel and perpendicular lines, congruent triangles, basic properties of two- and three-dimensional figures including area and volume, similarity and proportions, basic trigonometric functions, constructions, and coordinate Geometry. UC A-G approved – a History/Social Studies. NCAA approved.
Prerequisite:
Incoming Freshman: Passing score on Algebra Challenge test
Continuing high school students: at least a C (second semester) in Algebra 1 (P)
Required supplies: Compass, protractor, and Texas Instruments TI-84 plus graphing calculator. NO school bus yellow calculators allowed.
While the pacing is not dramatically different from the standard Geometry course, the depth of understanding and level of difficulty of problems done for homework and exams is significantly different. In addition, the student will be assigned more proofs (direct and indirect). UC A-G approved – c Mathematics. NCAA approved.
Prerequisite:
A (second semester) in Algebra 1 (P)
Incoming Freshman: Passing score on Algebra Curriculum test, and Honors test
Note: Honors Test and Teacher’s Recommendation will be required for this course
Required supplies: Compass, protractor, and Texas Instruments TI-84 plus graphing calculator.
This course is the standard second year course in Algebra. Basic concepts are extended to include three-dimensional systems and their solutions; also developed are functions, relations, irrational and complex numbers, conies, exponential functions, log functions, and sequences and series. NCAA approved.
Prerequisite: B (second semester) in Algebra 1 or approval of the Department Chair.
Important for Incoming Freshman: UC and CSU college systems require Geometry on a high school transcript. Students taking Geometry in the 8th grade may submit their 8th grade report card to the university when applying but the report card must state Geometry not just Math.
Required supplies: Texas Instruments TI-84 plus graphing calculator.
This course is the first year of a two-year course in Algebra 2. Students who study Algebra 2A will have a full year to gain experience in and master solving and graphing linear equations and inequalities and systems of linear equations and inequalities including those with absolute values. In addition, students will learn to simplify and solve polynomial and rational functions through various methods of factoring and division. NCAA approved.
Prerequisite: C- (second semester) in both Algebra 1 and Geometry
Required supplies: Texas Instruments TI-84 plus graphing calculator.
This course is the second year of a two-year course in Algebra 2. Students who study Algebra 2B gain knowledge and experience in solving systems of non-linear functions such as quadratic equations, conic sections, logarithms, exponential functions, and complex systems over a period of one year. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: at least C- (second semester) in Algebra 2A
Required Supplies: Texas Instruments TI-84 plus graphing calculator.
While the pacing is not dramatically different from the standard Algebra 2 course, the depth of understanding and level of difficulty of problems done for homework and exams is significantly different. The student is being prepared for Honors Precalculus and AP Calculus. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite:
Sophomore/Junior: A (second semester) in Algebra 1, B in Geometry (P).
Note: Honors Test and Teacher’s Recommendation will be required for this course
Required supplies: Texas Instruments TI-84 plus graphing calculator
College Algebra reviews all topics of Algebra 2. Additional topics will include angles and their measurements, the unit circle, circular functions and graphs, trigonometric identities and trigonometric applications. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: C- (second semester) in Algebra 2 or enrollment in Algebra 2-B; teacher recommendation.
Required supplies: Texas Instruments TI-84 plus graphing calculator
This course is designed to help students truly understand the fundamental concepts of Algebra and Trigonometry. Algebra and Trigonometry will be used to model and solve real-life problems. A successful student will be prepared for Calculus. The course content aligns with the California State Standards for mathematical analysis, Trigonometry, and Linear Algebra. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Second semester: B in Algebra 2 or C- in Honors Algebra 2
Required supplies: Texas Instruments TI-84 plus graphing calculator.
This course is an accelerated class designed to prepare the student for Calculus. A partial listing of topics covered in this class includes analytic geometry, trigonometry, linear algebra, and probability. The course content aligns with the California State Standards for mathematical Analysis, Trigonometry, and Linear Algebra. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Second semester: A in Algebra 2 or B in Honors Algebra 2
Note: Honors Test and Teacher’s Recommendation will be required for this course
Required supplies: Texas Instruments TI-84 plus graphing calculator.
This course covers the basic principles of descriptive statistics, exploratory data analysis, design of experiments, sampling distributions and estimation, and fitting models to data. Statistical concepts are studied in order to understand related methods and their applications. Measuring the probability of an event, interpreting probability, and using probability in decision-making are central themes of this course. Examples of games of chance, business, medicine, policy-making, the natural and social sciences, and sports will be explored. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Complete Algebra 2 with a C- or better (second semester)
Required Supplies: Texas Instruments TI-84 plus graphing calculator
This course covers most of the College Board Advanced Placement Calculus AB curriculum. Emphasis is placed on understanding the basic concepts. Topics include a study of limits and continuity; the definition of a derivative and learning several applications of the derivative, including graph analysis, optimization problems, and related rates; and applying the definite integral to analyze motion problems and finding areas and volumes. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Second semester: B in Precalculus or C in Honors Precalculus
Required Supplies: Texas Instruments TI-84 plus graphing calculator.
This course covers the entire College Board Advanced placement Calculus AB curriculum and prepares students for the AP Calculus exam given in May. These topics include a study of limits and continuity; the definition of a derivative and learning several applications of the derivative, including graph analysis, optimization problems, and related rates; and apply the definite integral to analyze motion problems and finding areas and volumes. In addition, it includes several topics not in the AB curriculum, most notably some integration techniques and volumes by shells.Students learn to solve simple differential equations. All students enrolled in this course are required to take the AP Calculus exam in the spring. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: Second semester: A in Precalculus or B in Honors Precalculus
Note: Honors Test and Teacher’s Recommendation may be required for this course
Required supplies: Texas Instruments TI-84 plus graphing calculator
This is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB, plus additional topics of college-level mathematics. This course prepares students to take the Calculus BC Exam. All students enrolled in this course are required to take the AP Calculus exam in the spring. UC A-G approved – c Mathematics. NCAA approved.
Prerequisite: AP Calculus AB or an A in Calculus with teacher recommendation
Note: Honors Test and Teacher’s Recommendation may be required for this course
Required supplies: Texas Instruments TI-84 plus graphing calculator
This course was developed for students who, by the nature of their mathematical backgrounds, can expect to learn Algebra 1 more effectively by having it presented at a slower pace. The course follows the general goals and objectives of the regular Algebra 1 course; however, the additional time will allow the teacher to give attention to the varying remediation needs of the target students. Students begin this course during the summer prior to the 9th grade.
Prerequisite: Based on entrance test scores.
Required: Texas Instruments TI-84 plus graphing calculator. NO school bus yellow calculators allowed.