Mathematics

In the sixth and seventh grades, students take math every day. Students receive the typical grade-level mathematics course plus a pre-algebra emphasis. There is a significant focus on ratio and proportional reasoning in preparation for Algebra I in eighth grade. This is supplemented with a strong emphasis on learning through inquiry and participating in high level thinking tasks.  Students will gain a high degree of procedural skill and fluency, a foundation for conceptualizing mathematic scenarios, and the ability to problem solve with mathematics inside and outside the classroom.

Honors Algebra I

A foundation course offered to students in eighth grade to prepare them for all subsequent mathematics courses. The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Topics of the course include the properties of real numbers, reasoning with equations and inequalities, operations on polynomial and rational expressions, factoring, building functions that represent linear, quadratic and exponential data, and problem solving. CCA students take high school Algebra I in eighth grade, unless they enter the school in ninth grade without this math credit. This class meets every day, and students receive two high school credits for this class (one Algebra I credit and one math elective credit). Depending upon need, there may also be a single block class with a single credit offered for some students. A TI-84 calculator is recommended for use in this class and all math classes that follow.

Honors Geometry

Geometry is the mathematical study of shape, size, position, and space. This course includes both deductive and discovery approaches to Euclidean geometry, its algebraic foundations, and its real-world applications. Students will observe patterns, develop conjectures, and prove theorems which are then used to solve problems. Justifiable reasoning is emphasized throughout the course in addition to formal proofs. Transformations form the foundation of both triangle congruence and similarity units. Other topics include parallels and transversals, polygons and quadrilaterals, triangle properties, trigonometry, volume, and spatial reasoning. Algebra I is a prerequisite for this course, and Algebra II follows Geometry in the mathematics sequence. A TI-84 calculator is necessary for use in this class and all math classes that follow.

Honors Algebra II

This course is designed to build on algebraic and geometric concepts.  It develops advanced algebra skills such as systems of equations, quadratics, advanced polynomials, imaginary and complex numbers, radical and rational functions, exponential and logarithm functions, and includes the study of trigonometric functions.  It also introduces matrices and their properties.  The content of this course is important for students’ success on both the ACT and college mathematics entrance exams. Students that complete Algebra II will move on to Advanced Algebra & Trigonometry or Pre-Calculus. Algebra II meets every day, and students receive two high school credits for this class (one Algebra II credit and one math elective credit). Depending upon need, there may also be a single block class with a single credit offered for some students. A TI-84 calculator is necessary for use in this class and all math classes that follow.

Honors Pre-Calculus

After Algebra II, students may elect to continue in Pre-calculus (for which everyone has been prepared) or take Advanced Algebra & Trigonometry.  Pre-calculus is designed to cover topics in Algebra ranging from polynomial, rational, and exponential functions to conic sections.  Trigonometric concepts such as Law of Sines and Cosines will be introduced.  Students will then begin analytic geometry and calculus concepts such as limits, derivatives, and integrals.  This class is important for any student planning to take a college algebra or college pre-calculus class. A TI-84 calculator is necessary for use in this class and all math classes that follow.

Honors Advanced Algebra & Trigonometry

The Advanced Algebra & Trigonometry course covers topics in greater depth and breadth than Algebra II. Course topics will include linear functions and equations, quadratic and polynomial equations with real and complex solutions, exponential and logarithmic equations and functions, transformations, rational expressions, systems of equations, matrices, sequences and series, and trigonometry through advanced trigonometric identities. The student will need access to a graphing calculator on a regular basis. A TI-84 series-graphing calculator is required.

Honors Calculus

Calculus introduces the study of limits, derivatives, and integration as well as their applications, but at a slower pace than AP Calculus. The curriculum provides a strong preparation rather than a replacement for college calculus courses. Success in calculus is closely tied to the foundation in algebraic reasoning that students have built in previous math courses. Students should have demonstrated mastery of material from courses that are the equivalent of four full years of high school mathematics before attempting calculus. A TI-84 calculator is recommended for use in this class and all math classes that follow.

Advanced Placement (AP) Calculus

This course provides traditional AP Calculus usually to a small group of highly motivated and talented students.  Many will take (and receive college credit for) the Advanced Placement test.  Students who take the AP exam qualify for an extra 5 points added to their final average.  The curriculum includes limits, derivatives, and integration and their applications and is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both from institutions of higher learning. Success in AP Calculus is closely tied to the preparation students have had in courses leading up to their AP courses. Students should have demonstrated mastery of material from courses that are the equivalent of four full years of high school mathematics before attempting calculus. A TI-84 calculator is recommended for use in this class and all math classes that follow.

Dual Enrollment Math

The courses listed below are offered at CCA in conjunction with Chattanooga State Community College. There is a cost associated with each course a student takes each semester. (Please see www.centerforcreativearts.net for details.) Upon successful completion, students will earn high school and college credit. Both DE Pre-Calculus 1710 and 1720 must be completed successfully in order to earn high school graduation credit.   A TI-84 calculator is recommended for use in these classes and all math classes that follow. The following descriptions are from the Chattanooga State course catalog:

Math 1130 – College Algebra (3 hours)

A study of functions and graphs with an emphasis on modeling and regression analysis. Functions included are linear, quadratic, cubic, exponential, and logarithmic. Prereq(s): Acceptable College level reading and math test scores

MATH 1530 – Introductory Statistics (3 hours)

Sampling, data organization, variability and central tendency, probability, distributions and confidence intervals, hypothesis testing, inference and regression.  Prereq(s): Acceptable College level reading and math test scores

Math 1710 – Pre-Calculus I (3 hours)

A course designed for students majoring in science related degrees and as a prerequisite for MATH 1720 leading to MATH 1910. A study of equations and inequalities, functions and graphs, linear and quadratic functions, polynomial and rational functions, exponential and logarithmic functions and systems of equations. Prereq(s): Acceptable college level reading and math test scores are required.

*Please note that both Pre-Calculus 1710 (fall semester) and 1720 (spring semester) must be completed successfully to earn one high school credit for Pre-Calculus.

Math 1720 – Pre-Calculus II (4 hours)

Trigonometric functions, identities, equations and graphs, inverse trigonometric functions, triangle applications, vectors, polar coordinates, complex numbers, conic sections, sequences and series, and the Binomial Theorem. Prereq(s): MATH 1710