Course Name: CCGPS Algebra. Course Number: Term: Yearlong. Grade: 9

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1 Course Name: CCGPS Algebra Course Number: Term: Yearlong Grade: 9 Prerequisites: Math 8 or Math 8 Advanced Description: Explore the characteristics of basic functions using tables, graphs, and simple algebraic techniques; operate with radical, polynomial, and rational expressions, solve a variety of equations, including quadratic equations with a leading coefficient of one, radial equations, and rational equations; use the language of mathematical argument and justification; utilize counting techniques and determine probability; use summary statistics to compare samples to populations; and explore the variability of data; represent and operate with complex numbers; use numerical, graphical, and algebraic techniques to explore quadratic, exponential, and piecewise functions and to solve quadratic, exponential and absolute value equations and inequalities; use algebraic models to represent and explore real phenomena; explore inverses of functions. Course Name: CCGPS Algebra Support Course Number: Term: Yearlong Grade: 9 Prerequisites: Passed Math 8, level 1 on CRCT, take with CCGPS Algebra S Algebra Support is an elective Description: GP 1 / 20

2 course that some students take concurrently GPS Algebra. Support gives students an extra hour of class time each day to get additional practice and instruction with the material being covered in CCGPS Algebra. Some days the Support class focuses on prerequisite skills (e.g., reviewing integer arithmetic to help with factoring); other days it mirrors the Math 1 class more exactly (e.g., giving a set of additional factoring problems like the ones students are doing in Math 1). There is no homework in CCGPS Algebra Support, but class work is collected virtually every day. Other: Students who score a 1 on the 8 th grade CRCT (Math) must be enrolled in CCGPS Algebra Support. For other students, placement is based on teacher recommendation. After CCGPS Algebra Support, students may continue with CCGPS Geometry Support as a 10 th grade elective, or they may take CCGPS Geometry without CCGPS Geometry Support. Students who want to learn the material but need extra time to grasp it are the ideal fit for the Support class. Students whose struggles are due to lack of effort will not reap the benefits of the Support program. Course Name: CCGPS Accelerated Algebra Honors Course Number: Term: Yearlong Grade: 9 Prerequisites: Passed Math 8 Adv, level 3 on CRCT; Passed Math 8 with 90+, level 3 on CRCT Description: Represent and operate with complex numbers; explore the characteristics of 2 / 20

3 basic functions utilizing tables, graphs, and simple algebraic techniques; operate with radical, polynomial, and rational expressions; solve equations, including quadratic, radical, and rational equations; investigate properties of geometric figures in the coordinate plane; use the language of mathematical argument and justification; discover, prove, and apply properties of polygons, circles and spheres; utilize counting techniques and determine probability; use summary statistics to compare samples to populations; explore variability of data; and fit curves to data and examine the issues related to curve fitting. Other: Students may enroll in CCGPS Accelerated Algebra upon successful completion of ADVANCED Math 8. Students transferring from other states should be placed in Accelerated CCGPS Algebra Honors if they have demonstrated a strong understanding of the topics covered in Accelerated Math 8 (all of Algebra I, parts of Geometry, some Algebra II). After Accelerated CCGPS Algebra Honors, students will take CCGPS Accelerated Geometry Honors, then CCGPS Accelerated Precalculus, and then either AP Calculus (AB or BC) or AP Statistics. Course Name: GPS Geometry Course Number: Term: Yearlong Grade: 10 Prerequisites: GPS Advanced Algebra Description: Use right triangle trigonometry to formulate and solve problems; discover, justify and apply properties of circles and spheres; use sample data to make informal inferences about population means and standard deviations; and fit curves to data and examine the issues related to curve fitting; investigate properties of geometric figures in the coordinate plane; prove, and apply properties of polygons. 3 / 20

4 Course Name: GPS Geometry Support Course Number: Term: Yearlong Grade: 10 Prerequisites: Passed GPS Algebra with a 70 74, took GPS Algebra Support, take with GPS Geometry Description: GPS Geometry Support is an elective course that some students take concurrently with GPS Geometry. Support gives students an extra hour of class time each day to get additional practice and instruction with the material being covered in Math 2. Some days the Support class focuses on prerequisite skills (e.g., reviewing topics from GPS Algebra); other days it mirrors the GPS Geometry class more exactly (e.g., giving a set of additional graphing problems like the ones students are doing in Math 2). There is no homework in GPS Geometry Support, but class work is collected virtually every day. Students enroll in GPS Geometry Support concurrently with GPS Geometry. Students generally personally elect to take GPS Geometry Support, but other students are placed based on teacher recommendation. Students who want to learn the material but need extra time to grasp it are the ideal fit for the Support class. Students whose struggles are due to lack of effort will not reap the benefits of the Support program Course Name: GPS Geometry Honors Course Number: / 20

5 Term: Yearlong Grade: 9 Prerequisites: GPS Algebra Honors Description: Because this course offers 7 honors points, it is only for students who are a year or more ahead in mathematics. Use right triangle trigonometry to formulate and solve problems; discover, justify and apply properties of circles and spheres; use sample data to make informal inferences about population means and standard deviations; and fit curves to data and examine the issues related to curve fitting. Investigate properties of geometric figures in the coordinate plane; prove, and apply properties of polygons. Course Name: GPS Accelerated Geometry Honors Course Number: Term: Yearlong Grade: / 20

6 Prerequisites: Passed Accelerated GPS Advanced Algebra H Description: Accelerated Math 2 is a Honors-level course. Self-motivated students are best suited for the rigor of this class. The course builds on itself and on material from previous courses, so students who are willing to seek out additional practice or help on difficult topics will be better able to stay on top of the material and not fall behind. Because this is an accelerated course, there is little time for review or re-teaching built into the schedule. Students are expected to retain information for significant periods of time to ensure that they can apply their knowledge in new situations encountered later in the semester. Students should be self-motivated to find extra practice or to seek extra help with topics they find difficult. The work-load is moderate with homework 3 to 4 nights per week. Good attendance is essential, as in all math courses. Students in the class are freshmen and sophomores. Other: Students may enroll in GPS Accelerated Geometry Honors upon successful completion of Accelerated GPS Algebra Honors OR on-level GPS Algebra with the summer bridge course. Even for students who were successful in GPS Algebra and the bridge course sometimes have an adjustment period at the beginning of GPS Accelerated Geometry Honors to acclimate themselves to the rigor of the new class. Students transferring from other states should be placed in GPS Accelerated Geometry Honors if they have demonstrated a str ong understanding of the topics covered in Accelerated GPS Algebra (most of Geometry, large portions of what used to be called Algebra II, some probability / statistics). After Accelerated GPS Geometry Honors, students will take GPS Accelerated Pre-Calculus), followed the next year by either AP Calculus (AB or BC) or AP Statistics. Topics include exploration of the characteristics of exponential, logarithmic, and higher degree polynomial functions using tables, graphs, and algebraic techniques; explore inverses of functions; use algebraic models to represent and explore real phenomena; solve a variety of equations and inequalities using numerical, graphical, and algebraic techniques with appropriate technology; use matrices to formulate and solve problems; use linear programming to solve problems; use matrices to represent and solve problems involving vertex-edge; use right triangle trigonometry to formulate and solve problems; investigate the relationships between lines and circles; recognize, analyze, and graph the equations of conic sections; investigate planes and spheres; use sample data to make informal inferences about population means and standard deviations; solve problems by interpreting a normal distribution as a probability distribution; and design and conduct experimental and observational studies. Student Comments: You have to be willing to put in a lot of time for this course. If you miss one topic, you re going to be confused for the rest of the unit; Whenever I fall behind I go see 6 / 20

7 [my teacher] for extra help. I know I can t just ignore it if I don t understand it. Course Name: Gifted Accelerated GPS Geometry Honors Course Number: Term: Yearlong Grade: 9 10 Prerequisites: Passed Accelerated GPS Advanced Algebra H; TAG Program; application/selection as content area for gifted participation Description: Same as Accelerated GPS Geometry Honors plus a research element Course Name: GPS Advanced Algebra Course Number: / 20

8 Term: Yearlong Grade: 9 11 Prerequisites: GPS Geometry Description: Students will analyze polynomial functions of higher degree; explore logarithmic functions as inverses of exponential functions; solve a variety of equations and inequalities numerically, algebraically, and graphically; use matrices and linear programming to represent and solve problems; use matrices to represent and solve problems involving vertex-edge graphs; investigate the relationships between lines and circles; recognize, analyze, and graph the equations of conic sections; investigate planes and spheres; solve problems by interpreting a normal distribution as a probability distribution; and design and conduct experimental and observational studies. Course Name: GPS Advanced Algebra Support Course Number: Term: Yearlong Grade: 11 8 / 20

9 Prerequisites: Passed GPS Geometry with a 70 74; took GPS Geometry Support, take with GPS Advanced Algebra Description: GPS Advanced Algebra Support is an elective course that some students take concurrently with GPS Advanced Algebra. Support gives students an extra hour of class time each day to get additional practice and instruction with the material being covered in GPS Advanced Algebra. Some days the Support class focuses on prerequisite skills (e.g., reviewing topics from GPS Geometry); other days it mirrors the Math 3 class more exactly. There is no homework in GPS Advanced Algebra Support, but class work is collected virtually every day. Students enroll in GPS Advanced Algebra Support concurrently with GPS Algebra II. Students generally personally elect to take GPS Advanced Algebra Support, but other students are placed based on teacher recommendation. Students who want to learn the material but need extra time to grasp it are the ideal fit for the Support class. Students whose struggles are due to lack of effort will not reap the benefits of the Support program Other: Only struggling seniors will have the option of earning 2 math units in the same year by taking GPS Advanced Algebra and GPS Algebra Support (for seniors who failed the GHSGT) simultaneously. Juniors who take GPS Advanced Algebra and GPS Advanced Algebra Support simultaneously will earn 1 math credit and 1 elective credit. 9 / 20

10 Course Name: GPS Advanced Algebra/GHSGT Preparation Course Number: Term: Yearlong Grade: 12 Prerequisites: GPS Geometry or GPS Geometry Support Description: This is the Course in a sequence of courses designed to provide students with a rigorous program of study in mathematics. It is also intended to help students master GPS Algebra, GPS Geometry, & GPS Advanced Algebra standards that will appear on the Georgia High School Graduation Test (GHSGT). Course Name: GPS Advanced Algebra Honors Course Number: Term: Yearlong 10 / 20

11 Grade: 9 11 Prerequisites: GPS Geometry Honors Description: Students will analyze polynomial functions of higher degree; explore logarithmic functions as inverses of exponential functions; solve a variety of equations and inequalities numerically, algebraically, and graphically; use matrices and linear programming to represent and solve problems; use matrices to represent and solve problems involving vertex-edge graphs; investigate the relationships between lines and circles; recognize, analyze, and graph the equations of conic sections; investigate planes and spheres; solve problems by interpreting a normal distribution as a probability distribution; and design and conduct experimental and observational studies; Additional topics from Accelerated GPS Pre-Calculus Honors; (individual projects). Course Name: Accelerated GPS Pre-Calculus Honors Course Number: Term: Yearlong Grade: 9 11 Prerequisites: Passed GPS Accelerated Geometry Honors Description: Students will investigate and use rational functions; analyze and use trigonometric functions, their graphs, and their inverses; find areas of triangles using trigonometric relationships; use trigonometric identities to solve problems and verify equivalence statements; solve trigonometric equations analytically and with technology; use complex numbers in trigonometric form; understand and use vectors; use sequences and series; explore parametric representations of plane curves; explore polar equations; investigate 11 / 20

12 the Central Limit theorem; and use margins of error and confidence intervals to make inferences from data. Course Name: Gifted Accelerated GPS Pre-Calculus Honors Course Number: Term: Yearlong Grade: 9 11 Prerequisites: Passed Accelerated GPS Geometry Honors; TAG Program; application/selection as content area for gifted participation Description: Same as Accelerated GPS Pre-Calculus Honors plus a research element Course Name: GPS Pre-Calculus 12 / 20

13 Course Number: Term: Yearlong Grade: 12 Prerequisites: GPS Advanced Algebra Description: This is a fourth year mathematics course designed to prepare students for calculus and similar college mathematics courses. It requires students to investigate and use rational functions; analyze and use trigonometric functions, their graphs, and their inverses; use trigonometric identities to solve problems and verify equivalence statements; solve trigonometric equations analytically and with technology; find areas of triangles using trigonometric relationships; use sequences and series; understand and use vectors; investigate the Central Limit theorem; and use margins of error and confidence intervals to make inferences from data. Course Name: GPS Mathematics in Finance Course Number: Term: Yearlong Grade: 12 Prerequisites: GPS Advanced Algebra or GPS Accelerated Geometry Honors 13 / 20

14 Description: This is a fourth year mathematics course designed to follow the completion of GPS Advanced Algebra. The course concentrates on the mathematics necessary to understand and make informed decisions related to personal finance. The mathematics in the course will be based on many topics in prior courses; however, the specific applications will extend the student s understanding of when and how to use these topics. This course does not meet the requirements for admission to four-year colleges in Georgia. Course Name: GPS Advanced Mathematical Decision Making Course Number: Term: Yearlong Grade: 12 Prerequisites: GPS Advanced Algebra or GPS Accelerated Geometry Honors Description: This is a fourth year mathematics course designed to follow the completion of GPS Advanced Algebra or Accelerated GPS Geometry Honors. The course will give students further experiences with statistical information and summaries, methods of designing and conducting statistical studies, an opportunity to analyze various voting processes, modeling of data, basic financial decisions, and use network models for making informed decisions. 14 / 20

15 This course meets the requirements for admission to four-year colleges in Georgia. Course Name: Mathematical Decision Making in Industry and Government (Available as a virtual course) Course Number: Term: Yearlong Grade: 12 Prerequisites: GPS Advanced Algebra or GPS Accelerated Geometry Honors Description: This is a fourth year mathematics course designed to follow the completion of GPS Advanced Algebra 15 / 20

16 or GPS Accelerated Geometry Honors. Modeled after operations research courses, MD in Industry and Government allows students to explore decision making in a variety of industries such as: Airline - scheduling planes and crews, pricing tickets, taking reservations, and planning the size of the fleet; Pharmaceutical - R& D management; Logistics companies - routing and planning; Lumber and wood products - managing forests and harvesting timber; Local government - deployment of emergency services, and Policy studies and regulation - environmental pollution, air traffic safety, AIDS, and criminal justice policy. Students learn to focus on the development of mathematical models that can be used to model, improve, predict, and optimize real-world systems. These mathematical models include both deterministic models such as mathematical programming, routing or network flows and probabilistic models such as queuing, and simulation. This course meets the requirements for admission to four-year colleges in Georgia. (Virtual Course) Course Name: AP Statistics Course Number: Term: Yearlong Grade: / 20

17 Prerequisites: GPS Advanced Algebra or GPS Accelerated Geometry Honors; AP Commitment Contract. Description: Students should expect to do homework daily, have good work/study habits, and must attend class daily. This course is fairly rigorous and should be taken by students who desire to learn about other branches of mathematics. Topics include introduction to statistics; descriptive statistics; probability; probability distributions; normal probability distributions; estimates and sample size; hypotheses testing; inferences from two samples; correlation and regression; multinomial experiments; analysis of variance; statistical process control; nonparametric statistics; design and sampling. Students are required to do a fair amount of reading and are expected to use the text book as a primary source of information. This is an advanced placement course. Self-motivated students are best suited for the rigor of this class. Most of the course builds on itself so students who are willing to seek out additional practice or help on difficult topics will be better able to stay abreast of the material and not fall behind. There is a major emphasis on writing, so students do not have to be extremely strong math students. However, they do need to have a good work ethic and the motivation to seek help when they do not understand a topic. Course Name: AP Calculus AB Course Number: Term: Yearlong 17 / 20

18 Grade: Prerequisites: GPS Accelerated Pre-Calculus Honors; AP Commitment Contract Description: This course consists of a review of real numbers and the Cartesian plane; review of functions; limits and their properties; derivatives and differentiation applications; anti-derivatives and indefinite integration; area and definite integrals; integration by substitution; the trapezoidal rule; logarithmic, exponential and other transcendental functions; applications and methods of integration; miscellaneous topics in Calculus BC. All students enrolled in AP Calculus AB are required to take the AP Examination in May if they are passing this course prior to the AP Examinations. Course Name: AP Calculus BC Course Number: Term: Yearlong Grade: Prerequisites: GPS Accelerated Pre-Calculus Honors; AP Commitment Contract. After this course, students will likely take Georgia Tech distance learning calculus. 18 / 20

19 Description: This is an advanced placement course. Self-motivated students are best suited for the rigor of this class. Most of the course builds on itself so students who are willing to seek out additional practice or help on difficult topics will be better able to stay abreast of the material and not fall behind. Students need to have a good work ethic and the motivation to seek help when they do not understand a topic. Topics include applications of integration involving work and arc length; parametric equations; analysis of acceleration and velocity vectors; applications of slope fields to differential equations; analysis of geometric, harmonic, p-series and alternating series; and approximations of polynomials with Taylor and Maclaurin series. Student Comment: You have to enjoy math, be organized, and diligent so you will be willing to put forth the effort. Course Name/Course Number: College Calculus * College Calculus * *co-requisites; students must register for both courses Term: Semester Grade: Prerequisites: Juniors and seniors; AP Calculus AB or BC; Acceptance to Georgia Tech 19 / 20

20 Description: This course is taught by a Georgia Tech professor through the Distance Learning Lab. Students from several Fulton County High Schools become part of this Georgia Tech classroom through the use of technology. The Calculus 2 course concludes the treatment of single variable calculus, and begins linear algebra the linear basis of the multivariable theory. The Calculus 3 course involves multivariable calculus: Linear approximation and Taylor s theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss and Stokes. Course Name: SAT Prep Course Number: Term: Semester Grade: 11, 12 Prerequisites: Juniors and seniors, Completed or Enrolled in GPS Algebra II or higher Description: Students receive intense practice and instruction in the areas of problem solving and advanced grammar. The course is team taught by a mathematics and a language arts teacher. Highly recommended for seniors for fall semester and juniors for spring semester 20 / 20

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in