Math

The Math Department faculty recognizes that there are many different types of math students. Every member of the department is sensitive to this variance of skill and enthusiasm, and employs this understanding in the classroom. It is the goal of the department to communicate the dynamism and importance of this subject for all students at Flintridge Prep. The increasing number of students taking more than one math course at a time and the growing demand for an advanced math curriculum reflect a program that both provides rigorous instruction and builds personal confidence.

7th Grade
This course involves review of arithmetic, stressing the development of skills in mental arithmetic, estimation and approximation, the structure of number systems, numerical introduction to algebraic manipulations, introduction to algebraic symbols, the use of calculators for problem solving and the collection and analysis of data. This is a lab course using green energy experiments to initiate the learning of Pre-Algebra topics.

7th - 9th Grades; 1 unit
This first course in algebra covers the properties of a number field, linear and quadratic relations, radicals, factoring, inequalities and absolute values. The emphasis is balanced so that students are presented fundamental concepts and basic theory enabling them to manipulate algebraic expressions and perform algebraic modeling.

8th - 10th Grades; 1 unit
This course introduces logic and uses it to present the structure of Euclidian Geometry in the plane. Topics covered are congruence, similarity, parallelism, transformations, and selected non- Euclidian geometries. Extensive use of Geometer’s Sketchpad will be applied. Prerequisite: Algebra I. 

9th - 11th Grades; 1 unit
This intermediate level course extends to a more mature level than the material covered in Algebra I through ordered field properties, inequalities, rational number systems, complex number systems, radicals, exponents and logarithms, systems of quadratics, statistics, trigonometric graphs, matrices and conic sections. Stress is placed upon world problems and algebraic modeling. Graphing calculators are required. Prerequisites: Algebra I and Geometry. 

9th Grade; 1/2 unit
First semester starts out with topics such as word processing, spreadsheet use and charting data using the Microsoft Office suite: we then move into additional application use. This section will cover designing presentations and good presentation techniques in PowerPoint, personal safety and netiquette on the internet, fundamental concepts in networking and file management,
and basic image manipulation using the Adobe Creative suite. Other topics include basic HTML coding and webpage design, and ethical and societal issues related to computing are integrated throughout all sections.

11th and 12th Grades; Fall Semester; 1/2 unit
This semester-long course introduces the student to the C++ language and the fundamental concepts and constructions of programming, including data structures, variables and flow of control. Skills taught include problem analysis, naming conventions and good coding techniques. Prerequisite: Algebra II 

11th and 12th Grades; spring semester; 1/2 unit
This semester-long course investigates advanced concepts in C++ programming, with a strong emphasis on object- oriented analysis and design, building
on the foundational skills learned in the first semester course. In addition to object-oriented programming and advanced algorithms such as searches and sorts, the course stresses a requirements- driven development process and teaches the skills necessary to work within a development team.  Prerequisite: Introduction to Programming or demonstrated mastery of the required C++ skill set. 

10th - 12th Grades; 1 unit
This precalculus course covers circular and trigonometric functions, parametric equations, polar equations, vectors, complex numbers, exponential and logarithmic functions, rational functions, conic sections, sequences, series, limits, determinants, matrices and topics from probability and statistics. Graphing calculators are required. Prerequisites: Algebra II and the recommendation of the faculty involved. 

11th and 12th Grades; 1 unit
An introductory course in Calculus that includes the study of derivatives, integrals and their applications. Not intended as preparation for the Advanced Placement exam. Graphing calculators are required. Prerequisite: Precalculus and the recommendation of the faculty involved. 

11th and 12th Grades; 1 unit
This course prepares the student for the Advanced Placement examination in Calculus (AB version) and for calculus courses on the college level. It includes material on functions and graphs, limits, continuity, differential calculus and integral calculus. Graphing calculators are required. Prerequisite: Precalculus and the recommendation of the faculty involved. 

11th and 12th Grades; 1 unit
This course prepares the student for the Advanced Placement examination in Calculus (BC version) and for calculus courses on the college level. In addition to all the topics covered in Calculus AB (AP), this course includes material on vectors, parametric and polar functions, differential equations, sequences and series and advanced integration techniques. Graphing calculators are required.  Prerequisite: Calculus AB. 

12th GradE; 1 unit
This course picks up where the Calculus BC (AP) course left off. The study of differential and integral calculus, of limits and continuity, and of applications of real-valued functions of a single variable extend naturally (and in some cases surprisingly) to vector-valued functions of a single variable and to real-valued functions of many variables. In addition to acquainting students with the particular subject matter of multivariable calculus, this course will also attempt to bridge the gap between Advanced Placement Calculus and college Calculus. Extensive use of the Maple Mathematical Modeling Program will be applied. An extensive development of algorithm design is achieved through the C++ programming language. Some students may elect to take the AP Computer Science exam. Prerequisite: Calculus BC and the recommendation and permission of the faculty involved. 

11th and 12th Grades; 1 unit
Students learn the fundamentals of statistics, including exploratory data analysis, probability, experimental design, sampling distributions, confidence intervals, tests of hypotheses and linear and non-linear regression. Computers are used to reinforce concepts and provide opportunities for data analysis. Graphing calculators are required. Prerequisite: Algebra II. 

11th and 12th Grades; 1 unit
This course prepares students to take the Statistics Advanced Placement exam, covering the four main areas of the exam, including exploratory analysis of data (graphically and numerically), data collection techniques, probability and statistical inference. Extensive use of computer modeling will be applied. Graphing calculators are required. Prerequisite: Algebra II and the recommendation of the faculty involved. Students who are successful in this course will be qualified to take the advanced placement exam.

11th and 12th Grades; 1 UNIT
Problem solving and mathematics in the “real world” are featured in this course which emphasizes topics from finite and discrete mathematics. Applications from the liberal arts, social sciences and everyday life are brought together to bridge the gap between traditional high school mathematics and the more complex problems of college coursework. Prerequisite: Algebra II 
Course not offered this academic year. 

11th and 12th GRADES; FALL SEMESTER; 1/2 UNIT
This course teaches the basic skills of web page authoring and development. The course will cover basic HTML through the creation of forms and tables, and basic JavaScript for calculation and form validation, all written without the use of authoring tools. Advanced topics may include graphic optimization, creating pages with dynamic content and DHTML.
Course not offered this academic year.