# Course Descriptions

*Graduation requirement: Three years (30 units)*

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Student placement in the mathematics sequence is based upon placement test results and grades. Electives are available to students who have completed Algebra 3-4 or Algebra-Trigonometry 3-4 Honors. Honors courses are available for qualified students.

### ALGEBRA 1-2 (P)

This first course in algebra includes a review of basic arithmetic skills, solving equations, factoring, fractions, linear and quadratic equations, functions, inequalities, word problems, and rational and irrational numbers. Emphasis is placed on problem solving and application principles. Students who have a record of generally satisfactory achievement in mathematics are placed in this class.

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### ALGEBRA 1-2 (H)

*Prerequisite: Grade 9. Placement determined by HSPT and Math Assessment Test. *

This accelerated course in algebra covers the standard content of a first year course in algebra including equations, factoring, functions, inequalities, graphing, rational expressions, and radicals. This standard content is explored with greater intensity and emphasis on analytical thinking. Additional topics may include algebraic proof and further investigations of the real number system.

### GEOMETRY (P)

*Prerequisite: Grade of C- or higher in Algebra 1-2.*

This standard first course in geometry covers the required concepts of Euclidean geometry including definitions, postulates, and theorems. Areas of study include angles, parallel lines, congruent and similar triangles, rectilinear figures, polygons, circles and arc, and the Pythagorean Theorem. Special topics covered include coordinate and spatial geometry, introductory trigonometry, and constructions and loci. In addition to including problems which serve to review algebra, the process of “proving” theorems is introduced.

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### Geometry (H) *

*Prerequisite: Grade 9: Placement determined by HSPT and Math Assessment Test. Grade 10: Grade of A- in Algebra 1-2 or B- or higher in Algebra 1-2 Honors.*

This accelerated course in geometry covers the standard content of Euclidean geometry including congruence, similarity, polygons, circles, constructions, and coordinate geometry. This standard content is explored with greater intensity and emphasis on proof and analytical thinking. Additional topics may include transformations and further investigations of three-dimensional figures such as polyhedra.

### ALGEBRA 3-4 (P)

*Prerequisite: Grade of C- or higher in Algebra 1-2 and Geometry.*

This standard course in second year algebra is designed to move at a moderate pace. The course includes a thorough review of important topics covered in a first course in algebra as well as the development of related skills. New topics may include exponential functions and logarithms, sequences and series, and matrices. Some basic trigonometric concepts may be included. Emphasis is placed on both understanding and the development of important algebraic skills.

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### ALGEBRA-TRIGONOMETRY 3-4 (H) (P)

*Prerequisite: Grade of A- in Algebra 1-2 and grade of A- or higher in Geometry or B- or higher in Geometry Honors*.

This accelerated mathematics course combines a second, or advanced, course in algebra with an introductory study of trigonometry. Topics include linear equations in one and two variables, systems of linear equations, polynomials, and rational expressions, quadratic equations in one and two variables, quadratic systems, logarithms, sequences and series, and trigonometric functions.

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### INTRODUCTION TO CALCULUS (H) (P)

*Prerequisite: Grade of B- or higher in Algebra-Trigonometry 3-4 Honors or grade of A- or higher in Algebra 3-4 or approval of department.*

This accelerated fourth-year course is designed to introduce the students to the fundamental principles of differential calculus. Topics covered include detailed study of the first and second derivative of polynomial, algebraic, exponential, logarithmic, and trigonometric functions with applications to curve-tracing, maxima-minima related-rate problems, and the anti-derivative. The course will also include a thorough survey of trigonometry.

### MATH ANALYSIS (P)

*Prerequisite: Grade of B- in Algebra 3-4 or grade of C or higher in Algebra-Trigonometry 3-4 Honors or grade of C or higher in Introduction to Calculus or approval of department.*

This course will prepare students for college mathematics while reviewing important topics from algebra, geometry, and trigonometry. Areas of study will also include permutations, combinations, statistics, probability and limits.

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### AP CALCULUS AB (H) (P)

*Prerequisites: Grade of B or higher in Introduction to Calculus.*

This accelerated course will begin with a review of the calculus topics covered in Introduction to Calculus. There will be further study and discussion of the fundamental principles of calculus. Advanced topics in integration will include arc length, work problems, additional techniques in integration, and further study of the transcendental functions and infinite series. This course will prepare students for the College Board Advanced Placement Calculus AB examination. *All students enrolled in this course are required to take the Advanced Placement exam.
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### FINITE MATH AND PROBLEM SOLVING (P)

*Prerequisite: Grade 12 and grade of C or higher in Algebra 3-4.*

This is an advanced course for students who wish to continue the study of mathematics but do not plan to major in a discipline requiring calculus. The course emphasizes developing reasoning skills and systematic problem solving strategies. As students pursue solutions to real and challenging problems, the major concern is to understand the validity of the process and to communicate clearly. Applications include: business and economics, biology and medicine, social sciences, data analysis, probability, and methods of counting. Strategies include: diagrams and systematic lists, matrix logic, unit analysis, Venn diagrams, and linear programming.