Mathematics Courses

COURSE: Algebra I

OPEN TO: Grade 9

PREREQUISITE:

CREDIT: 1

OVERVIEW:

Algebra I is a traditional algebra course. Students recommended for this class may require a minimal amount of review over prerequisite algebra skills. Students should be able to master new material at a steady pace. Homework time will be available in class, however students will be expected to complete some work outside of the classroom. Topics covered in Algebra I include operations with real numbers, simplifying algebraic expressions, solving and graphing linear equations and inequalities, operations with polynomials, operations with rational expressions, solving systems of linear equations, and simplifying radicals.

COURSE: Algebra IA (Double Block)

OPEN TO: Grade 9

PREREQUISITE: invitation

CREDIT: 1

OVERVIEW:

Algebra I Double Block is our Algebra One course taught over two periods each day. This course is designed to provide students with additional time for increased student teacher interaction, extra practice on newer concepts and finally more opportunity to complete homework in class. Smaller class sizes allow for more individualized attention. Students will receive daily enrichment through the use of online math assignments in Khan. Topics covered in Algebra I include operations with real numbers, simplifying algebraic expressions, solving and graphing linear equations and inequalities, operations with polynomials, operations with rational expressions, solving systems of linear equations, and simplifying radicals.

COURSE: Geometry

OPEN TO: Grades 9-12

PREREQUISITE: Algebra I

CREDIT: 1

OVERVIEW:

Students will develop reasoning and problem solving skills as they study the topics such as congruence and similarity, and apply properties of lines, triangles, quadrilaterals, and circles. Students will also develop problem solving skills by using length, perimeter, area, circumference, surface area and volume to solve real world problems. Problems will be solved individually and in teams.

COURSE: Geometry B

OPEN TO: Grades 10-12

PREREQUISITE: Algebra I

CREDIT: 1

OVERVIEW:

Students will develop reasoning and problem solving skills as they study the topics such as congruence and similarity, and apply properties of lines, triangles, quadrilaterals, and circles. Students will also develop problem solving skills by using length, perimeter, area, circumference, surface area and volume to solve real world problems. The course provides students with additional time to build the foundations necessary for high school math courses, while concurrently having access to rigorous, grade-level appropriate courses. Students enrolling in this course will be prepared for either Algebra 2 or Algebra 2B.

COURSE: Honors Geometry

OPEN TO: Grades 9-10 with consent of teacher and the gifted committee

PREREQUISITE: Algebra I

CREDIT: 1

OVERVIEW:

This course covers the language content and procedures of geometry, to provide a better understanding of a mathematical system. Students are asked to read a mathematical text and describe mathematical ideas, both informally and in technical terms. Students will develop reasoning and problem solving skills as they study the topics such as congruence and similarity, and apply properties of lines, triangles, quadrilaterals, and circles. Students will also develop problem solving skills by using length, perimeter, area, circumference, and volume to solve real world problems. Problems will be solved individually and in teams.

COURSE: Algebra II

OPEN TO: Grades 11-12

PREREQUISITE: Algebra I, Geometry. To be successful, it is strongly recommended that students have received a grade of C or better in Algebra I.

CREDIT: 1

OVERVIEW:

This course begins with a review of Algebra 1 topics such as linear functions and their graphs and various methods for solving systems of equations. The remainder of the first semester will focus on polynomials, emphasizing work with quadratic equations and their graphs. Other topics covered in the course include radical expressions and equations, complex numbers, conic sections, rational expressions and equations, exponential and logarithmic relations, and trigonometric functions. Problem solving and communication skills are stressed in individual and group work activities. A calculator (Scientific or Graphing) is strongly recommended.

COURSE: Algebra II B

OPEN TO: Grades 12-12

PREREQUISITE: Algebra 1, Geometry

CREDIT: 1

OVERVIEW:

This course begins with a review of Algebra 1 topics such as linear functions and their graphs and various methods for solving systems of equations. The remainder of the first semester will focus on polynomials, emphasizing work with quadratic equations and their graphs. Other topics covered in the course include radical expressions and equations, complex numbers, statistics, and rational expressions. The course provides students with additional time to build the foundations necessary for high school math courses, while concurrently having access to rigorous, grade-level appropriate courses. Students enrolling in this course will be prepared for Foundations for College Mathematics if they chose to take a fourth year of mathematics.

COURSE: Honors Algebra II

OPEN TO: Grades 10-11

PREREQUISITE: Algebra 1, Honors Geometry

CREDIT: 1

OVERVIEW:

This course stresses both the structure of Algebra and the development of creative problem solving skills. The course starts with a review of Algebra I topics such as linear functions and their graphs, systems of equations, arithmetic operations with polynomials, radical expressions and equations, and quadratic equations and their graphs. New topics introduced are complex numbers, graphs of polynomial and radical functions, logarithmic functions, inverse functions, trigonometric functions and their graphs, and trigonometric proofs. Students will leave the class with a thorough exposure to functions. Students in the honors course will complete two algebra projects (one per semester). Scientific calculators are required and graphing calculators are strongly recommended. Honors Algebra II is the prerequisite for Honors Pre-Calculus.

COURSE: Pre-Calculus

OPEN TO: Grades 11-12

PREREQUISITE: Algebra I, Algebra II, and Geometry

CREDIT: 1

OVERVIEW:

This course lays out a variety of concepts necessary to prepare students for calculus. Students will work with functions and be able to find domain and range, composition of functions, as well as transform functions to create the desired effect upon a graph. Using trigonometric ratios, students will find missing sides and angles from right and oblique triangles and be able to determine areas and dimensions for various situations. Students will be able to graph and write equations fitting periodic situations as well as evaluate exact values of trigonometric functions on the unit circle. We will also determine the probability for various cases; solve using logarithms, matrices, and vectors; and construct the sum of an infinite sequence of numbers. This course aims to prepare students for a college level mindset.

COURSE: Honors Pre-Calculus

OPEN TO: Grades 11-12

PREREQUISITE: Honors Algebra II

CREDIT: 1

OVERVIEW:

This course goes beyond regular level Pre-Calculus in that some additional topics will be included throughout the year. Additional homework problems will be given requiring higher order thinking skills, and expectations for greater technical precision will be reflected in the grading. This course in intended for capable, highly motivated, college bound students.

COURSE: Foundations for College Mathematics

OPEN TO: Grade 12

PREREQUISITE: Algebra II

CREDIT: 1

OVERVIEW:

A fourth-year mathematics course designed with emphasis on algebraic skill improvement. Topics covered will include linear functions and their graphs, systems of equations, factoring, rational expressions, compound inequalities, and absolute value functions. In addition to radical expressions and functions, solving quadratic formulas by all techniques, complex numbers, exponential and logarithmic functions. Students will work individually and in teams to solve problems designed to help them succeed in college mathematics courses.

COURSE: AP Calculus

OPEN TO: Grade 12

PREREQUISITE: Honors Pre-Calculus or Pre-Calculus

CREDIT: 1

OVERVIEW:

This course is designed for highly motivated college bound students. Topics in single variable calculus are covered. Limits and continuous functions are discussed, which provides the foundation for the derivative and the integral. Other topics covered include applications of the derivative and the integral, exponential and logarithmic functions, and various methods of integration. Students will have the option of taking the A.P. exam at the end of the course. Graphing calculators are required (TI-83, 84, or 89).

COURSE: AP Statistics

OPEN TO: Grade 12

PREREQUISITE: Algebra II

CREDIT: 1

OVERVIEW:

This course is designed for highly motivated college bound students. The syllabus for the course is taken from the outline provided by the Advanced Placement Board. The material in this course includes graphical analysis of data, experimental design, fundamental rules of probability, and statistical inference. Students desiring one semester of college placement/credit will be encouraged to take the AP exam. Graphing calculators are required (TI83 or TI84).

COURSE: Dual Credit College Algebra

OPEN TO: Grade 12

PREREQUISITE: Algebra II

CREDIT: 1/2

OVERVIEW:

Study of linear and quadratic functions, inequalities, binomial theorem, matrices and determinants, logarithmic and exponential functions, complex numbers, conic sections, sequences, series and topics in the theory of equations. The use of graphing calculators (TI83 of TI84) will be integrated into many topics. Students completing this course will earn 4 credit hours.

COURSE: Dual Credit Introductory Statistics (MAT 208)

OPEN TO: Grade 12

PREREQUISITE: MAT-066 or MAT-068 or MAT-096 with a grade of "C" or higher or appropriate placement test score.

CREDIT: 1/2

OVERVIEW:

Focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Includes descriptive methods, basic probability theory, probability distributions, statistical inference, correlation and regression, and f-test and analysis of variance. Graphing calculators are required (TI83 or TI84). Students completing this course will earn 4 college credit hours.

COURSE: Dual Credit Topics in Math (MAT 101)

OPEN TO: Grade 12

PREREQUISITE: Algebra II

CREDIT: 1/2

OVERVIEW:

Intended for the student who wishes to study applications of mathematics and whose program does not require mathematics beyond intermediate algebra. Topics covered include applications of statistics, logical argument, estimation, and reasonableness of answers, geometry in problem solving, and techniques in problem solving. Scientific calculators are required, but graphing calculators are strongly recommended (TI83 or TI84). Students completing this course will earn 3 college credit hours.