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Mathematics Studies Courses

* :: Denotes semester-only class

AP :: Advanced Placement
H :: Honors
CP :: College Prep


 

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Mathematics Faculty

Department Chair
Ms. Morone  

Mr. Aberle

Mr. Peters

Mrs. Gustorf

Mr. Swanson

Mrs. Jones

Ms. Wells

Mr. Khan

Mr. Willet

 

9th Grade

Course Number

Course Title

3110

Algebra 1 (H)

3120

Algebra 1

3140

Algebra Essentials

 

10th Grade

Course Number

Course Title

3120

Algebra 1

3140

Algebra Essentials

3210

Geometry/Trigonometry (H)

3620

Geometry

3630

Algebra 2

3640

Geometry Essentials

 

 11th Grade
Course Number Course Title

3120

Algebra 1

3320

Pre-Calculus (H)

3620

Geometry

3630

Algebra 2

3640

Geometry Essentials

 

 12th Grade

Course Number Course Title

3120

Algebra 1

3410

Applied Calculus

3413

College Math

3420

Pre Calculus

3423

Statistics

3430

Calculus (AP)

3620

Geometry

3630

Algebra 2

3640

Geometry Essentials

 

Course Descriptions

 

3110 Algebra 1 (H)

Grade level: 9    Year Course

Prerequisite: 90th percentile or higher on placement test  10 Credits

Permission: None          UC, CSU, NCAA

This honors course will cover all of Algebra 1 and Algebra 2. Topics include: a) basic operations over the set of rational, irrational, and imaginary numbers b) solutions of 1 st, 2nd, and higher degree equations; c) simultaneous equations with two and three variables; d) graphs of straight lines, parabolas, ellipses, hyperbo­las, circles, and absolute value; e) determinants, and f) additional topics as time permits. A TI-83 or TI-84 graphing calculator is required.

 

3120 Algebra 1

Grade Level: 9-12          Year Course

Prerequisite: Placement Test or B in Algebra Essentials  10 Credits

or Business Math          UC, CSU, NCAA
Permission: None

This course in algebra covers the real number system and its properties, probability, operations with powers and roots, factoring, linear equations and their graphs, systems of equations in two unknowns, and quadratic equations. Emphasis is placed on solving word problems and solving equations.

 

3140 Algebra Essentials

Grade Level: 9, 10         Year Course

Prerequisite: None         10 Credits
Permission: None

This basic course in Algebra covers the same topics as Algebra 1 (3120) but with less depth. Topics include real number properties, exponents, roots, graphs and equations of lines and parabolas, systems of equations, factoring and the quadratic formula.

 

3210 Geometry/Trigonometry (H)

Grade level: 10  Year Course

Prerequisite: C- in Algebra 1H    10 Credits

Permission: Teacher Recommendation   UC, CSU, NCAA

This honors course will cover all of Geometry (3620) as well as one quarter of trigonometry. In the first semester, the course will concentrate on triangles, quadrilaterals, circles, constructions, and three dimensional figures. The second semester will include an in-depth study of proofs and trigonometry. A TI-83 or TI-84 graphing calculator is required.

 

3320 Pre Calculus (H)*

Grade Level: 11 Year Course

Prerequisite: B- in Geometry/Trigonometry H       10 Credits

Permission: None          UC, CSU, NCAA

This course will give students a review of trigonometry, an in-depth study of functions and graphing analysis, and review of the basic techniques and curves of Algebra 2. The second part of the course includes the study of limits and derivatives and many other topics from a college Calculus 1 course. A TI-83 or TI-84 graphing calculator is required.

 

3410 Applied Calculus

Grade Level: 12 Year Course

Prerequisite: C+ in Pre Calculus or C- in Pre Calculus (H) 10 Credits

Permission: Course Instructor    UC, CSU, NCAA

Students will be exposed to the applications of calculus with emphasis on topics related to business, economics, social and life sciences. It is expected that students will cover functional models and limits, differentiation and applications of the derivative, exponential and logarithmic functions and integration. Further topics in integration will be introduced as time permits. This course is not in-tended as a preparation for the AP Calculus exam. A TI-83 or TI-84 graphing calculator is required.

 

3413 College Math

Grade Level: 12 Semester Course

Prerequisite: C- in Algebra 2 and Geometry         5 Credits

Permission: None          UC, CSU, NCAA

This one semester course will cover topics not usually covered in Algebra 1, Al­gebra 2 or Geometry, but which are likely to be seen in college. Topics include matrices, finance, probability, combinatorics and modular arithmetic. This course covers the same topics as a college finite math course. A TI-83 or TI-84 graphing calculator is required.

 

3420 Pre Calculus

Grade Level: 12 Year Course

Prerequisite: B- in Algebra 2, B- in Geometry      10 Credits

Permission: None          UC, CSU, NCAA

This course will give students a solid review of Algebra and Geometry along with a full course in Trigonometry. Topics to be covered are a) the six trigonom­etry functions, their graphs, and use in solving right triangles; b) identities and equations using the six trigonometry functions, basic eight identities, sum and difference formulas, double angle and half-angle formulas; c) word problems and their applications to real life (science, physics, etc.). A TI-83 Plus or TI-84 graphing calculator is required.

 

3423 Statistics

Grade Level: 12 Semester Course

Prerequisite: C- in Algebra 2 and Geometry         5 Credits

Permission: None          UC, CSU, NCAA

This one semester course is an introduction to statistics. Topics include prob­ability, variance, data plotting, the normal curve, and inferences drawn from data and populations. A TI-83 or TI-84 graphing calculator is required.

 

3430 Calculus (AP)*

Grade Level: 12 Year Course

Prerequisite: C- in Pre Calculus H           10 Credits

Permission: None          UC, CSU, NCAA

This course is designed to give students enough background in Calculus to pass the AP Calculus test. The subject matter is equivalent to the standard Calculus 1 and 2 courses at the college level. Topics include derivatives and applications, integration and applications, limits, continuity, infinite series and approximation techniques using a calculator. Students should consider taking the AB Calculus or BC Calculus AP test in May. A TI-83 or TI-84 graphing calculator is required.

 

3620 Geometry

Grade level: 10, 11, 12   Year Course

Prerequisite: C- in Algebra 1       10 Credits

Permission: None          UC, CSU, NCAA

Basic geometric concepts are covered. Students will learn to develop their own proofs and to apply geometric theorems to two dimensional figures, especially

triangles, quadrilaterals, and circles. Construction will be stressed. Algebra is reviewed throughout the course. Because standardized tests such as the PSAT and SAT include many geometry-based items, it is recommended that students take Geometry their Sophomore year. A TI-83 or TI-84 graphing calculator is required.

 

3630 Algebra 2

Grade Level: 10, 11, 12  Year Course

Prerequisite: C- in Algebra 1       10 Credits

Permission: None          UC, CSU, NCAA

This course covers all the topics of Algebra in greater depth. Also covered are the real and imaginary number systems and their properties, powers and roots, logs, linear and quadratic equations along with their graphs, systems of equations in two and three unknowns, determinants and binomial expansion. It is recom­mended that students take Geometry prior to Algebra 2 as a better preparation for the PSAT and SAT. A TI-83 or TI-84 graphing calculator is required.

 

3640 Geometry Essentials

Grade level: 10, 11, 12   Year Course

Prerequisite: D- in Algebra Essentials or Algebra 1          10 Credits

This basic course in Geometry covers the same topics as Geometry (3620) but with less depth. Students will be exposed to a) geometic theorems; b) 2-di­mensional figures, especially triangles, quadrilaterals and circles; c) 3-dimen­sional figures; and d) trigonometry. Construction will be stressed. A scientific calculator will be required.

 

 

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:: University of California and California State University Requirements

 

 


 

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