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MATHEMATICS DEPARTMENT

 

Team Leader:
envelope_blue.jpgWes Hurley


Staff:
Amber Abeyta
Dawna Berkompas
Kathlyn Graham
Cristi Larson
Karen Morgan
Gregg Nunley
Robert Perea
Gerard Pineda
Jacki Terrell
Marcus Waters
Dawn Witiuk

Mathematics Honors/AP Program

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Italicized wording is specific to La Cueva High School.
√ Freshmen may take this class.     *NCAA approved course.

 

Honors courses are available for those students who have an exceptional ability in the subject area and who perform at a level of excellence. Since honors courses offer weighted grades, expectation levels are high. Many colleges and universities participate in the College Entrance Examination Board Advanced Placement Program and grant both advanced standing in courses and/or credit toward graduation to students who qualify. The CEEB gives examinations in Advanced Placement subjects in May of each year, and students receive placement and/or credit on the basis of their examination performance. A score of 3, 4 or 5 normally results in the student’s receiving credit for one or more semesters of college-level work in the subject, although variation occurs according to the university and department. Students should obtain information from their counselors and prospective colleges about participation in the Advanced Placement Program and how much credit they might receive.

√ *HONORS ALGEBRA I

33080      1 Yr.      9

It is strongly recommended that students have “85%” or better in 8th grade enriched or accelerated program, “85%” or better in 8th grade Intro-Algebra, and teacher recommendation.
Special Requirements: None
Description: Algebra, which can be described as the language of mathematics, is the foundation of all advanced mathematics. It is the first mathematics course that teaches the basic structure and abstract nature of mathematics. The Honors Algebra I course is designed for the student with exceptional ability and interest in mathematics. Students will develop concepts, techniques and theory in greater depth than the Algebra I course. Both acceleration and enrichment are integral components of the curriculum. This is the first course in the Honors/Advanced Placement Program in mathematics and students will earn a weighted grade in this course.

√ *HONORS GEOMETRY

35080      1 Yr.      9-10

It is strongly recommended that students have “B” or better in High School Honors Algebra I or “A” (95-100) in 8th grade Honors Algebra I, or (95-100) in High School Algebra I (the itinerant program) and teacher recommendation.
Special Requirements: None
Description: Students will study, in greater depth, the concepts, techniques, and theory of the regular geometry course. Both acceleration and enrichment are integral components of the curriculum. Acceleration will allow time for the extension of algebraic concepts. This is the second course in the Honors/Advanced Placement Program in mathematics and students will earn a weighted grade in this course.

√ *HONORS ALGEBRA II

36080      1 Yr.      9-11

Prerequisite: It is strongly recommended that students have successfully completed Honors Geometry and teacher recommendation.
Special Requirements: None
Description: Students will learn extensions of algebraic concepts with special attention to analytic geometry; trigonometric, exponential, and logarithmic functions; sequences and series. Both acceleration and enrichment are integral components of the curriculum. This is the third course in the Honors/Advanced Placement Program in mathematics and students will earn a weighted grade.

√ *AP CALCULUS AB

38080      1 Yr.      9-12

It is strongly recommended that students have completed Pre-Calculus or Honors Algebra II/Trig. with a grade of “B” or better.
Special Requirements: The student is required to use and have access to a graphing calculator.
Description: In AP Calculus AB, the student studies limits, differentiation, and definite and indefinite integration of functions and relations. The student develops ideas from analysis throughout AP Calculus AB. The course prepares the student for the AB level Advanced Placement Exam in Calculus and as a result includes an extensive review of relevant topics. Students are expected to take the Advanced Placement Exam (AB Level) in May. This course follows Honors Algebra II in the Honors/Advanced Placement Program in mathematics and earns a weighted grade.

√ *AP CALCULUS BC (MATH SEMINAR)

38085      1 Yr.      9-12

It is strongly recommended that students have completed AP Calculus AB with a grade of “B” or better and have teacher recommendation.
Special Requirements: Students must: a) be recommended by a mathematics teacher at his/her school, preferably his/her AP Calculus teacher; b) have the approval of his/her parent or guardian; c) have the approval of the course instructor; d) agree to participate in at least one of the organized mathematics competitions held in the district. *Students earn a weighted grade for this course. The student is required to use and have access to a graphing calculator.
Description: AP Calculus BC extends the concepts of limits, differentiation, and integration studied in AP Calculus AB to include sequences, infinite series, and parametric, polar and vector valued functions. More attention is given to techniques of integration using parts, trigonometric substitution, partial fractions, and improper integrals. Optional topics include vector analysis, developed to study lines, planes and surfaces in 3-dimensional space and/or advanced problem solving techniques used in major mathematics contests. The student develops ideas from analysis throughout AP Calculus BC. The course prepares the student for the BC level Advanced Placement Exam in Calculus and as a result includes an extensive review of relevant topics. AP Calculus BC is designed for exceptionally able mathematics students who have successfully completed both semesters of AP Calculus AB or the equivalent. It provides an introduction to the rigorous and formal foundations of calculus and completes the study of the subject begun in the AP Calculus AB course. Throughout, emphasis will be placed on problem solving and understanding of mathematical structures. Students are expected to take the Advanced Placement Exam (BC Level) in May.

*AP STATISTICS

38022      1 Yr.      11-12

Prerequisite: Successful completion of Algebra II with “B” or higher. Excellent communication skills recommended.
Special Requirements: It is strongly recommended, that the student have access to a graphing calculator.
Description: Advanced Placement Statistics introduces the student to the major concepts and tools for collecting, analyzing, and drawing conclusions from data using these four broad themes:

  1. Exploration: Observing patterns and departure from patterns.

  2. Study design.

  3. Producing models using probability theory and simulation.

  4. Statistical inference.

This course uses an interactive data collection approach using the text and lessons as resources and addresses the standards presented by the National Council of Teachers of Mathematics (NCTM). The student applies his/her knowledge of algebra and geometry to linear transformation of data, conducting surveys, and analyzing the results. The student builds his/her own studies using both proper and improper data analysis techniques, critique studies conducted by other students and entities, and makes suggested improvements. This AP Statistics course is taught as an activity-based course in which students engage in investigations and projects to focus on data and statistical thinking. Emphasis is placed on effectively communicating how methods, results, and interpretations of data for any given problem are valid. On most assignments, quizzes, exams, projects and investigations, students are expected to use a graphing calculator. This allows students to focus on statistical concepts rather than on calculations. Instructions on technology, with particular emphasis on the TI-83/TI-84 calculator, are incorporated into lectures as well as regular class activities and investigations. Topics include “Exploring Data,” “Planning and Design of a Study,” “Anticipating Patterns,” and “Statistical Inference.” Students will earn a weighted grade.