# Math Courses

**Ninth Grade**

**ALGC151: Algebra **

This course begins to address the Algebra Common Core Standards including the Standards of Mathematical Practice. This course develops and extends the algebra concepts developed in Math 7 and Math 8. Students in this course will study the following topics: symbol manipulation, solving linear equations, understanding linear functions (including slope as rate of change, representing a linear function as a set of points, an equation, a graph, and in situations and understanding the connections among the representations), understanding and solving systems of linear equations and inequalities, basic polynomial operations, understanding quadratic functions, and solving quadratic equations. This is a pivotal class in being a successful math student at Galileo.

**GEOC150: Geometry (9th, 10th)**

Students in this course will study the California Common Core. The following topics: logic and reasoning, angle relationships and angle relationships with transversal through parallel lines, angle measurement and construction, congruence and similarity, proofs, angles of polygons, properties of polygons, perimeter, area.

**GEOC170: Geometry (9th, 10th)**

This class is for Cantonese Immersion .

See description for GEOC150. Course will be taught in Cantonese.

**Tenth Grade**

**ALGC152: Algebra 2 (10th, 11th grade)**

Students in this course will continue their study of functions and their graphs: linear, quadratic, exponential, logarithmic, rational and irrational. This includes transformations of graphs, representing functions in multiple ways and understanding the connections among the representations and using functions to model real-world situations. They will also study systems of linear functions, systems of linear inequality, solving polynomial and rational equations, sequences and series, and probability and statistics.

**Eleventh and Twelfth Grade**

**ALGC252: Algebra 2/Precalculus Hybrid**

This course covers the topics of Algebra 2 in more depth with some additional topics in Precalculus such as trigonometry. This course covers the critical units of Algebra 2 and necessary units of Precalculus. New topics are approached more rapidly and are studied in greater detail, requiring a significant commitment of time and energy. This course is specifically designed to prepare students for future AP math courses, especially Calculus.

Prerequisite: A or B in both Algebra 1 and Geometry (or instructor’s consent).

**PCAL150: Precalculus**

Students in this course will further their study of functions and their graphs: rational functions, piecewise functions and trigonometric functions. Students will be able to find inverse of functions as well as learn how to compose functions. In addition, students will study trigonometric identities, laws of sines and cosines, conic sections, polar equations and their graphs, conic sections, vectors, sequences and limits of sequences, and introduction to limits. Complex numbers, mathematical induction, the fundamental theorem of algebra, and parametric equations are also studied.

**PCAL250: Precalculus Honors**

This one year course covers the topics covered in Precalculus in a more in-depth approach than the Precalculus course. Students will regularly deal with more challenging problems, including complex word problems. New topics are approached more rapidly and immediately adopted. Topics are studied in greater detail. Precise terminology is emphasized and not explained on tests. Minimal review of previously learned algebra, other topics or technology is provided. Students are expected to review on their own.

**STAT150: Probability & Statistics**

This one year course covers the broad topics of statistics and probability in more depth than is covered in students previous math courses. The students in this course will study descriptive statistics, organization of data, presentation of data, probability theory, sampling, and other related topics. This course is designed as an alternative to Precalculus for students who want a 4th year of math.

**STAT350: AP Statistics**

Students in this college level course will study four major areas: exploratory analysis of data (use of graphical and numerical techniques to study patterns and departures from patterns), planning a study (data must be collected according to a well- developed plan if valid information on a conjecture is to be obtained), probability (used for anticipating what distribution data should look like under a given model), and statistical inferences (selection of appropriate models). This course requires a significant commitment of time and effort. Prerequisite: A or B in Algebra 2 (or instructor’s consent).

**CALC350: AP Calculus – AB**

This is a college level course in introductory calculus. The content follows the topics outlined by the College Board. In general, students in the AB course study topics in functions, graphs, limits, continuity, and techniques and applications of differential and integral calculus. This course requires a considerable commitment of time and effort.

Prerequisite: C or better in Precalculus Honors, Precalculus, or Algebra 2/Precalculus Hybrid (or consent of instructor)

**CALC351: AP Calculus – BC**

This is also a college level calculus course. Students in the BC course study all topics in the AB course in addition to functions defined in polar and parametric forms, sequences, series, more applications of derivatives, more techniques and application of antiderivatives as outlined by the College Board. This course requires a considerable commitment of time and effort.

Prerequisite: B or better in Precalculus Honors, A in Precalculus or Algebra 2/Precalculus Hybrid (or consent of instructor)