Check in this catalog for the list of math course sequences and prerequisites.

PRE-ALGEBRA A (formerly Math A)
411500
One year: 10 credits
Prerequisites: None

This course presents the fundamental mathematics concepts and skills used in a technological society. It will further the students' development of critical thinking, as well as their ability to apply and extend the mathematics which they have previously learned to life situations. Students not yet prepared for exploring the abstractions of Algebra will have the opportunity to work on math topics beyond arithmetic. This course includes preparation for minimum competency test required for graduation.

PRE-ALGEBRA B (formerly Math B)
411600
One year: 10 credits
Prerequisites: Completion of Math A

The course includes a variety of mathematical topics beyond arithmetic including preparation, which develop skills required in a technological society. Common applications and the development of skill in problem solving will be emphasized. This course includes preparation for minimum competency test required for graduation.

ALGEBRA 1 P
412000
One year: 10 credits
Prerequisites: Recommendation of previous math teacher.
Algebra I is a graduation requirement for all students.
On UC/CSU Approved Course List: c

The course will include studying the concepts found in the California Mathematics Content Standards for Algebra 1. These include: solve linear equations and inequalities, as well as word problems; create a graph of a linear equation, and computing their x- and y- intercepts; solve a system of two linear equations; add, subtract, multiply, and divide monomials, polynomials, and rational expressions; apply basic factoring techniques; solve quadratic equations by factoring or the quadratic formula; understand the concepts of a relation and a function. This course includes preparation for minimum competency test required for graduation.

GEOMETRY P
413000
One year: 10 credits
Prerequisites: Algebra 1 with a grade of C or better
On UC/CSU Approved Course List: c

The course will include studying the concepts found in the California Mathematics Content Standards for Geometry. These include: demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; write geometric proofs, including proofs that triangles are similar or congruent, coordinate geometry proofs, proofs involving properties of parallel lines cut by a transversal, properties of quadrilaterals or the properties of circles; know, derive and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures; determine how changes in dimensions affect the perimeter, area and volume of common geometric shapes and solids; use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles; perform basic constructions with straightedge and compass; know the definitions of the basic trigonometric functions; know the effect of rigid motions of figures, including rotations, translations and reflections. The course includes some review of Algebra 1.

For all following courses marked with *, see note regarding appropriate calculator at the end of the math listing.

*ALGEBRA 2 P
414100
One year: 10 credits
Prerequisites: Geometry with a grade of C or better or approval of Geometry teacher
On UC/CSU Approved Course List: c

The course will include studying most of the concepts found in the California Mathematics Content Standards for Algebra 2. These include: solve systems of linear equations and inequalities; add, subtract, multiply divide, reduce and evaluate monomials, polynomials, rational expressions, including negative exponents in the denominator; solve quadratic equations by factoring, completing the square or the quadratic formula; graph quadratic functions and determine the maxima, minima, and zeros of the function; understand and use the properties of logarithms and prove simple laws of logarithms; know the binomial theorem and use it to expand binomial expressions. The subsequent course is Trigonometry, Functions & Applications. This course may be taken at the same time as Geometry. Algebra 2 meets the UC/CSU third year mathematics requirement.

*TRIGONOMETRY, FUNCTIONS/ APPLICATIONS P
414300
One year: 10 credits
Prerequisites: Completion of Algebra 2, (or Algebra 2/Trig.) with a grade of C or better
On UC/CSU Approved Course List: c

This course begins with an in depth study of trigonometry. Additional topics will include functions used as mathematical models, matrices, probability, statistics and complex numbers. The subsequent course is Introductory Analysis.

*ALGEBRA 2/TRIGONOMETRY P
416000
One year: 10 credits
Prerequisites: Algebra 1 and Geometry with grades of B or better, or approval of Geometry teacher. This is an accelerated course for strong math students.
On UC/CSU Approved Course List: c

The course will include studying the concepts found in the California Mathematics Content Standards for Algebra 2 and most of the concepts found in the Content Standards for Trigonometry. These include: solve systems of linear equations and inequalities; add, subtract, multiply, and divide complex numbers, and can plot them as points in the plane; add, subtract, multiply, divide, reduce and evaluate monomials, polynomials, rational expressions, including negative exponents in the denominator; solve quadratic equations by factoring, completing the square or the quadratic formula; graph quadratic functions and determine the maxima, minima, and zeros of the function; understand and use the properties of logarithms and prove simple laws of logarithms; apply formulas for arithmetic and geometric series; know the definitions of sine and cosine on the unit circle; graph trigonometric functions; know the definitions of the inverse trigonometric functions and can graph them; know and apply the trigonometric addition, half-angle and double-angle formulas; know the law of sines and law of cosines. Students should be aware that this is an accelerated course. The subsequent course is Introductory Analysis.

*STATISTICS AP
Advanced Placement
416700
One year: 10 credits
Prerequisites: Completion of Algebra 2/Trig or Algebra 2, with a grade of C or better.
On UC/CSU Approved Course List: c

A solid understanding of statistical concepts will be gained by observing patterns (and departures from patterns), determining the reasonableness of conclusions from statistical studies, planning to collect data in ways that make valid conjectures possible, as well as modeling and predicting from data. Students in this course may elect to take The College Board AP Statistics exam given in May, or they might just want a better understanding of discrete mathematics. A graphing calculator is required. (A TI-83, TI-83 Plus or TI-84 graphing calculator is recommended. A TI-86 will work also. TI-85 and TI-89 is not appropriate.  Calculators may be available from the DHS library.)

*INTRODUCTORY ANALYSIS P
417000
One year: 10 credits
Prerequisites: Algebra 2/Trigonometrywith a grade of B or better or Trig., Functions & Applications, with a grade of C or better and at least a score of 29 on the MDTP Pre-Calculus Readiness test.
On UC/CSU Approved Course List: c

The department strongly advises that any student expecting to study university calculus take this course. The course will include studying the concepts found in the California Mathematics Content Standards for Mathematical Analysis. These include: extend the depth of knowledge of polynomial, exponential, logarithmic, circular and trigonometric functions and their graphs; demonstrate how real and complex numbers are related both arithmetically and graphically; apply polar coordinates and vectors in the plane; solve problems using vector concepts; extend the understanding of the arithmetic fundamental counting principles to compute combinations and permutations; know the binomial theorem and use it to expand binomial expressions; develop an understanding of functions and equations defined parametrically and can graph them; become familiar with the notion of the limit of a sequence and the limit of a function as the independent variable approaches a number or infinity; give proofs using the technique of mathematical induction.

*CALCULUS AB AP
Advanced Placement
418000
One year: 10 credits
Prerequisites: Introductory Analysis with a grade of C or better or at least a score of 29 on the MDTP Calculus Readiness Test.
On UC/CSU Approved Course List: c

*CALCULUS BC AP
Advanced Placement
419000
One year: 10 credits
Prerequisites: Introductory Analysis with a grade of A or AB Calculus with a grade C or better and at least a score of 33 on the MDTP Calculus Readiness test.
On UC/CSU Approved Course List: c
Those students who have completed Algebra 1, Geometry, Algebra 2/Trigonometry, and Introductory Analysis are eligible to take Calculus AB or Calculus BC.

Calculus AB reviews the theory of elementary functions as well as covers topics in differential and integral calculus. The calculus portion of this course parallels the first semester or possibly the first two quarters of the calculus course now given in many colleges. Calculus BC is an intensive full-year course in calculus, considerably more extensive than Calculus AB. All of the calculus topics in Calculus AB are included and also infinite series and multi variable calculus. This course parallels the full-year course now given in many colleges.

BUSINESS MATH
420000
One year: 10 credits
Prerequisites: Algebra 1 or Pre-Algebra A or B with a grade of C or better.

This course introduces the use of microcomputer applications, with an emphasis on spreadsheets, to Business Math. It is designed to prepare students for further study in Business Administration at college as well as for handling personal financial matters. Included in this course are units in budgeting and buying, saving and investing, the small business, credit, money records, and income tax.

CAHSEE MATH REVIEW
410100
One semester: 5 credit

This course is designed to provide support for students who have not passed the Math section of the California High School Exit Exam. Student will receive instruction in and practice with the Math content standards that the exam assesses.