# MATH

## LACHSAÂ |Â MATH

## COURSE LIST

### MATH

#### ALGEBRA I

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COURSE LIST

##### MATH DEPARTMENT

###### GRADE(S)

9TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

Algebra I is based on the California Content Standards for grades 8-12. This course covers the fundamental properties of the real number system. Topics include algebraic expressions, exponents, linear equations and inequalities, functions and function notation, graphs of linear and quadratic functions, radical equations, ratio and proportion and the quadratic formula.

#### GEOMETRY

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##### MATH DEPARTMENT

###### GRADE(S)

9TH-10TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

Geometry is based on the California Content Standards. Geometry is the study of points, lines and areas in a single plane, and includes some extension into three-dimensional space. Emphasis is also placed on creating a consistent set of axioms and using deductive reasoning to write proofs and derive theorems. Students need to have a strong foundation in algebraic concepts. Prerequisite: Completion of Algebra I.

#### ALGEBRA II

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##### MATH DEPARTMENT

###### GRADE(S)

9TH-11TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

Algebra II is based on the California Content Standards for High School Algebra II. Algebra II and expands the mathematical content and concepts of Algebra I and Geometry. Students who master Algebra II gain experience with algebraic solutions of problems in various content areas, including the solution of systems of quadratic equations, logarithmic and exponential functions, the binomial theorem, the complex number system, conic sections, probability, sequences and an introduction to trigonometry. Recommended Prerequisite: C or better in Geometry.

#### HONORS ALGEBRA II

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##### MATH DEPARTMENT

###### GRADE(S)

9TH-11TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

#### PRECALCULUS

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##### MATH DEPARTMENT

###### GRADE(S)

9TH-12TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

This course is based on the California Content Standards and prepares the student for calculus. Topics covered include: an in-depth study of all elementary functions, their inverse functions, conic sections, parametric functions, matrices and determinants, higher degree polynomial functions, logarithmic and exponential functions, sequences and series, math induction, and trigonometry. Recommended Prerequisite: B or better in Algebra II.

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#### PROBABILITY AND STATISTICS

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##### MATH DEPARTMENT

###### GRADE(S)

12TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

This advanced elective course is based on the California Content Standards and is fashioned as an alternative to the Calculus track (i.e., H Algebra 2, Trigonometry, Mathematical Analysis, AP Calculus AB). Probability and Statistics covers counting methods, (probability) independent events, rules for addition, multiplication and complementation, finite sample spaces, conditional probability, discrete and continuous random variables, binomial, exponential and normal distributions; (statistics) measures of central tendency by mean, median, mode, and measures of distribution by variance and standard deviation, normal distributions, organization of data by frequency tables, histograms, stem-and-leaf displays, and box-and-whisker plots. Recommended Prerequisite: Completion of Algebra II.

#### AP CALCULUS AB

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##### MATH DEPARTMENT

###### GRADE(S)

10TH-12TH

###### LENGTH

2 SEMESTERS

###### UC/CSU APPROVED

YES

###### COURSE DESCRIPTION

This course is based on the California Content Standards and is an advanced college-level course that prepares students for the AP Calculus AB exam and covers the beginning of calculus. It includes the study of functions, limits, continuity and differentiation rules for elementary, trigonometry, logarithmic and exponential functions. Applications of the derivative are covered extensively and an introduction to the definite integral and integration is also included. This course emphasizes a multi representational approach to calculus, with concepts, results and problems being expressed graphically, numerically, analytically and verbally. The connections between these representations also are important. Recommended Prerequisite: B or better in Trig/Analysis.

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