SHDHS Online / Academics / Course Descriptions / Math

COURSE DESCRIPTION The objective of PreAlgebra is to give those students not yet ready for Algebra a basic understanding of the concepts that will be covered in a full Algebra course. Topics will include the real number system, ratio and proportion, order of operations, measurement, exponents and radicals, probability and statistics, a strand of geometry and such basic algebraic concepts as the meaning and use of a variable. Scientific calculators are used throughout this course. Graphing calculators may not be used in this class.

COURSE TITLE ALGEBRA I

COURSE NUMBER 2710

SUGGESTED GRADE LEVEL 9, 10

CREDIT 1

PREREQUISITES NONE

NEED TEACHER RECOMMENDATION? NO

REQUIRED FOR GRADUATION? YES

COURSE DESCRIPTION The objective of Algebra I is to give students an understanding of algebra by emphasizing concepts, structure, and applications. Topics include the real number system, number theory, algebraic expressions and sentences, linear and quadratic equations, inequalities, operations with polynomials, relations and functions, graphing equalities and inequalities, radical expressions, factoring polynomials, exponents, exponential and rational functions, and solving systems of equations. Scientific calculators are used throughout the course. Graphing calculators may not be used in this class.

COURSE TITLE ALGEBRA I - ACCELERATED

COURSE NUMBER 2710

SUGGESTED GRADE LEVEL 9

CREDIT 1

PREREQUISITES NONE

NEED TEACHER RECOMMENDATION? NO

REQUIRED FOR GRADUATION? NO (But a student must pass an Algebra I class)

COURSE DESCRIPTION The objective of Algebra I is to give students an understanding of algebra by emphasizing concepts, structure, and applications. Topics include the real number system, number theory, algebraic expressions and sentences, linear and quadratic equations, inequalities, operations with polynomials, relations and functions, graphing equalities and inequalities, radical expressions, factoring polynomials, and solving systems of equations. Scientific calculators are used throughout the course. Graphing calculators may not be used in this class. This course is designed for students who have the study habits, maturity, and motivation necessary to be successful in this course. Enrichment topics and activities are added to this course as appropriate.

Admission to this class requires 1) minimum grade of 90% in the previous mathematics class, 2) an entrance test score in mathematics of at least the 90^th percentile, OR 3) the student took Algebra I in the eighth grade. Also, a minimum grade of 85% must be maintained to remain in this class. If a quarter grade falls below 85%, the teacher and administrator will take steps either to transfer the student to the regular level class or to put the student on probation for one additional quarter (if it is thought that the student would be able to bring the grade up to the minimum required 85%).

After two consecutive quarters below 85%, the student will be transferred to the regular level class. Exceptions are at the discretion of the teacher and the administration.

COURSE TITLE GEOMETRY

COURSE NUMBER 2712

SUGGESTED GRADE LEVEL 10, 11

CREDIT 1

PREREQUISITES ALGEBRA I

NEED TEACHER RECOMMENDATION? NO

REQUIRED FOR GRADUATION? YES

COURSE DESCRIPTION The focus in this course will be on discovery and realistic applications of geometric relationships and principles. The course begins with a thorough study of points, lines, planes, angles, parallelism and perpendicularity. Gradually students are introduced to the method of proof in a 2-column form, paragraph form, the inductive method, and the verbal form. The methods of proof are applied to triangles, quadrilaterals, and similar polygons. The course includes a study of right triangles, the Pythagorean Theorem in 2 and 3 dimensions, basic trigonometry, circles and spheres, area and volume, constructions, locus, 3-dimensional geometry, transformations, and coordinate geometry. Scientific calculators are required throughout the course. Graphing calculators are permitted but are not useful. Suggestions: TI-82, TI-83, or TI-84.

COURSE TITLE GEOMETRY - ACCELERATED

COURSE NUMBER 2732

SUGGESTED GRADE LEVEL 9, 10

CREDIT 1

PREREQUISITES ALGEBRA I

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO (But a student must pass a Geometry class.)

COURSE DESCRIPTION This course is designed for students who have demonstrated a high level of understanding and proficiency in concepts and skills in Algebra I. It is also imperative that students have the study habits, maturity, and motivation necessary to be successful in this course. Enrichment topics and activities are added to this course as appropriate. The focus in this course will be on discovery and realistic applications of geometric relationships and principles. The course begins with a thorough study of points, lines, planes, angles, parallelism and perpendicularity. Gradually students are introduced to the method of proof in a 2-column form, paragraph form, the inductive method, and the verbal form. The methods of proof are applied to triangles, quadrilaterals, and similar polygons. The course includes a study of right triangles, the Pythagorean Theorem in 2 and 3 dimensions, basic trigonometry, circles and spheres, area and volume, constructions, locus, 3-dimensional geometry, transformations, and coordinate geometry. Scientific calculators are required throughout the course. Graphing calculators are permitted but are not useful. Suggestions: TI-82, TI-83, or TI-84.

Admission to this class requires a minimum grade of 85% in accelerated Algebra I or 90% in regular Algebra I. (Note: eighth grade Algebra I is considered accelerated.) Also, a minimum grade of 85% must be maintained to remain in this class. If a quarter grade falls below 85%, the teacher and administration will take steps to either transfer the student to a different class or put the student on probation for one additional quarter (if it is thought that the student would be able to bring the grade up to the minimum required 85%). *If the student is a freshman, the transfer would be to Algebra I � Accelerated. If the student is a sophomore, the transfer would be to regular level geometry.

After two consecutive quarter grades below 85%, the student will be transferred to the different class (see * above). Exceptions are at the discretion of the teacher and administration.

COURSE TITLE ALGEBRA II

COURSE NUMBER 2711

SUGGESTED GRADE LEVEL 10, 11, 12

CREDIT 1

PREREQUISITES ALGEBRA I, GEOMETRY

NEED TEACHER RECOMMENDATION? NO

REQUIRED FOR GRADUATION? YES (For the state's Pre-College Curriculum (PCC))

COURSE DESCRIPTION This course is designed for college-intending students. In addition to expanding the mathematical concepts of Algebra I, an emphasis is placed on preparation for study of higher mathematics. Topics include the complex number system, quadratic equations and inequalities, graphs of functions and relations, exponential and logarithmic functions, sequences and series, modeling linear and quadratic data, and trigonometry. The function concept and algebraic solution to problems in various content areas is also included. Graphing calculators are required, preferably the Texas Instruments TI-82, TI-83, or TI-84.

COURSE TITLE ALGEBRA II - ACCELERATED

COURSE NUMBER 2723

SUGGESTED GRADE LEVEL 10, 11, 12

CREDIT 1

PREREQUISITES ALGEBRA I, GEOMETRY

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO (But a student must pass an Algebra II class for PCC)

COURSE DESCRIPTION This course is designed for college-intending students who have demonstrated a high level of understanding proficiency in concepts and skills of Algebra I and/or Geometry. It is also imperative that students have the study habits, maturity, and motivation necessary to be successful in this course. Enrichment topics and activities are added to this course as appropriate.

In addition to expanding the mathematical concepts of Algebra I, an emphasis is placed on preparation for study of higher mathematics. Topics include the complex number system, matrices, quadratic equations and inequalities, graphs of functions and relations, exponential and logarithmic functions, progressions and series, the binomial theorem, conic sections, and trigonometry. The function concept and algebraic solution to problems in various content areas is also included. Graphing calculators are required, preferably the Texas Instruments TI-82, TI-83, or TI-84.

Admission to this class requires a minimum grade of 85% in accelerated Geometry OR accelerated Algebra I, or 90% in regular Geometry OR regular Algebra I. Also, a minimum grade of 85% must be maintained to remain in this class. If a quarter grade falls below 85%, the teacher and administration will take steps to either transfer the student to a different class or put the student on probation for one additional quarter (if it is thought that the student would be able to bring the grade up to the minimum required 85%). After two consecutive quarter grades below 85%, the student will be transferred to the different class (see * above). Exceptions are at the discretion of the teacher and administration.

COURSE TITLE ALGEBRA III

SUGGESTED GRADE LEVEL 11, 12

CREDIT 1

PREREQUISITES GEOMETRY, ALGEBRA II

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course is for the junior/ senior who wishes to take an upper level math course but at a more moderate rate than Precalculus. It will explore new areas and applications of algebra and geometry as well as maintain and improve previously acquired skills. Algebra III serves as a bridge between Algebra II and Precalculus or College Algebra. Graphing calculators are required, preferably the TI-82 TI-83, or TI-84. This course is not appropriate for students with a grade of 85% or better in Algebra II. Those students should take either PreCalculus or Probability and Statistics.

COURSE TITLE PROBABILITY AND STATISTICS

SUGGESTED GRADE LEVEL 11, 12

CREDIT 1

PREREQUISITES GEOMETRY, ALGEBRA II

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course is for students who plan to take business calculus in college and/or college statistics. It includes topics in one- and two-variable statistics, probability and simulation, permutations, combinations, and binomial and normal distributions. This course includes descriptive and inferential statistics. Scientific calculators with graphing and statistics capabilities are required, preferably the Texas Instrument TI-83 or TI-84. The TI-82 is not suitable for this course.

This course is not appropriate for students considering a college major in mathematics or science. Those students should take PreCalculus.

COURSE TITLE PRECALCULUS

COURSE NUMBER 2704

SUGGESTED GRADE LEVEL 11, 12

CREDIT 1

PREREQUISITES GEOMETRY, ALGEBRA II

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course is for students who plan to take calculus. It includes topics in one- and two-variable statistics, functions and their inverses, circular and triangular trigonometry, polynomials, inequalities and absolute value, exponentials and logarithms, graphs and their applications, techniques in problem solving, complex numbers, polar coordinates, matrices and determinants, sequences and series, probability, and the binomial theorem. Graphing calculators are required, preferably the Texas Instruments TI-82, TI-83, or TI-84.

COURSE TITLE PRECALCULUS - ACCELERATED

COURSE NUMBER 2704

SUGGESTED GRADE LEVEL 11, 12

CREDIT 1

PREREQUISITES GEOMETRY, ALGEBRA II

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

Admission to this class is restricted. If the student is coming from Algebra II, admission requires a minimum grade of 90%. If coming from Algebra II � Accelerated, admission requires a minimum grade of 85%. If coming from Algebra III, the student must have achieved at least a 90% in Algebra III as well as having met the requirements stated previously for Algebra II and Algebra II � Accelerated. Also, a minimum grade of 85% must be maintained to remain in this class.

If a quarter grade falls below 85%, the teacher and administration will take steps either to transfer the student to the regular level class (or Algebra III), or to put the student on probation for one additional quarter (if it is thought that the student would be able to bring the grade up to the minimum required 85%). After two consecutive quarter grades below 85%, the student will be transferred to the different class (see * above). Exceptions are at the discretion of the teacher and administration.

COURSE TITLE ADVANCED TOPICS

COURSE NUMBER 2744

SUGGESTED GRADE LEVEL 12

CREDIT 1

PREREQUISITES PRECALCULUS

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course will provide exploration of new topics as well as enrichment, maintenance and improvement of previously acquired mathematical skills. Among the topics covered are logical arguments, analyzing functions, solving equations and inequalities, the Quotient-Remainder theorem and polynomials, rational functions, trigonometry, mathematical induction, polar coordinates, complex numbers, the derivative in calculus, probability, vectors, and the integral in calculus. Graphing calculators are required, preferably the Texas Instrument TI-82, TI-83, or TI-84.

Admission to this class requires a minimum grade of 85% in accelerated Precalculus, or 90% in regular Precalculus. Also, a minimum grade of 85% must be maintained to remain in this class. If a quarter grade is below 85%, the student has the option of moving to Algebra III or of being put on probation for one additional quarter in an attempt to achieve the required 85% before moving.

COURSE TITLE AP CALCULUS

COURSE NUMBER 2725

SUGGESTED GRADE LEVEL 12

CREDIT 1

PREREQUISITES PRECALCULUS OR PRECALCULUS ACC

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course is designed for students who have completed courses in pre-college curriculum. Students will cover topics including limits, derivatives, applications of derivatives, definite and indefinite integrals, applications of integration, the Chain Rule, the Fundamental Theorem of Calculus, and calculus of exponential, trigonometric, and logarithmic functions while preparing for the written AP exam in May. This course is recommended for students interested in studying engineering, medicine, mathematics, or sciences in college. Students will need a graphing calculator with calculus capabilities, TI-83 or TI-84 are recommended. A summer assignment will be required.

Admission to this class requires a teacher's recommendation. Students should have a minimum grade of 80% in PreCalculus Accelerated or 85% in regular PreCalculus.

COURSE TITLE COMPUTER SCIENCE I

COURSE NUMBER 2120

SUGGESTED GRADE LEVEL 10, 11, 12

CREDIT 1

PREREQUISITES GEOMETRY

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course is designed to introduce students to the fundamentals of computer science using the C++ programming language. Students will be expected to develop good programming habits using built-in data types, repetition statements, files, and built-in C++ arrays. Students will use structs to define their own data types. Software module classes for strings will be used. Abstract data types will be introduced with the examination and implementation and use of the abstract data type known as a "class" in the C++ programming language.

The course is approximately 60% lecture combined with 40% laboratory time. Students should have good problem solving skills, along with strong reading comprehension. Admission to this class requires a minimum grade of 85% in regular geometry class or 80% in an accelerated geometry class.

COURSE TITLE AP COMPUTER SCIENCE

COURSE NUMBER 2125

SUGGESTED GRADE LEVEL 11, 12

CREDIT 1

PREREQUISITES COMPUTER SCIENCE I

NEED TEACHER RECOMMENDATION? YES

REQUIRED FOR GRADUATION? NO

COURSE DESCRIPTION This course uses the Java programming language. Emphasis is on problem solving and algorithm development. The course follows the AP curriculum for computer science. Topics covered include one- and two-dimensional arrays, the package concept in Java relating to strings, math operations, random numbers, and arrays. Students will modify code in existing classes and will be introduced to inheritance, method overloading, and polymorphism. An AP case study will further students� exposure to a software module class.

Students who take this course may choose to take an AP computer science exam in the spring. Admission to this class requires teacher recommendation.