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    Mathematics Course Sequence

    2018 -2019 School Year for Ninth Graders

     

     

    Course 1

    Course 2

    Course 3

    Course 4

    Standard Path

    GSE Algebra I

    GSE Geometry

    GSE Algebra II

    Pre-Calculus or other fourth math course option**

    Accelerated Path Option 1

    GSE

    Geometry

    GSE Algebra II

    Pre-Calculus or other fourth math course option**

    Fourth math course option** or DE

    Accelerated Path Option 2

    Advanced Algebra

    Pre-Calculus or other fourth math course option**

    Fourth math course option** or DE

    Fourth math course option** or DE

    Support Path

    Foundations of Algebra

    GSE Algebra I with GSE Algebra I Support

    GSE Geometry with GSE Geometry Support

    GSE Algebra II with GSE Algebra II Support

    ▪     Four units of Mathematics are required for all students for graduation.  See counselor for details.

    ▪     Students must pass the designated prerequisite course before he/she can enroll in the next higher level course.

    ▪     Students must meet certain eligibility requirements in order to follow the accelerated paths or support path.

    ▪     Support courses are math electives designed for students who need additional support in GSE Algebra I, GSE Geometry or GSE Algebra II, regardless of path.

    ▪     Students can move between the standard and accelerated path at designated points (i.e. the semester) at the recommendation of the classroom teacher.

    ▪     AP Statistics can be taken simultaneously with Pre-Calculus or any other fourth math course option.  The pre-requisite is Advanced Algebra/GSE Algebra II.

    ▪     Dual Enrollment (DE-Senate Bill 132/Senate Bill 2) is a program where students can earn college credit while working on their high school diploma. DE students can participate for 9th – 12th  grade years. Students have the option to participate in DE based on the state eligibility course list. More information can be found at: http://www.gadoe.org/Curriculum-Instruction-and- Assessment/CTAE/Documents/DE-Parent-Card-2016v3.1.pdf See counselor for details.

    ▪     Students are required to participate in state-mandated End of Course assessments in Coordinate Algebra/GSE Algebra I and Analytic Geometry/GSE Geometry except those who are enrolled in DE. DE students must complete Coordinate Algebra/GSE Algebra I End of Course Assessment. End of Course Assessments are twenty percent of the student’s grade.

    ▪     HOPE Rigor Course List: https://www.gafutures.org/media/113414/rigor-course-list-july-2016.pdf. See counselor for more details regarding HOPE.

    Fourth Mathematics Course Options in Henry County Schools**

     

    Foundations of Algebra

    Pre-Calculus

    Advanced Mathematical Decision Making

    Statistical Reasoning

    Mathematics of Finance

    AP Statistics

    Calculus

    AP Calculus AB

    AP Calculus BC

    Advanced Finite Mathematics

    College Readiness Mathematics

    Technical College Readiness Mathematics*

    * Technical College Readiness Mathematics entrance requirements are located in the course descriptions.

    Course offerings vary per school. Check with colleges for varying admissions criteria. Some programs do not accept some of the courses as viable fourth mathematics course options. Disclaimer: This is a suggested framework for courses; however, parents should always consult with their child’s counselor for the optimal path for graduation.

     
     
     
    MATHEMATICS COURSE DESCRIPTIONS

    (All courses within this discipline are HOPE Scholarship eligible courses except where noted.)

      

    Course Title

    GSE Algebra I  (Students entering 9th grade in 2017-2018 school year and beyond)

    Course Number

    4450 Honors: 4451

     

     

    Course Description

    GSE is the first mathematics course of three required for graduation. The critical areas, organized into units, deepen and extend understanding of linear relationships, lay a foundation in quadratic and exponential reasoning, and compare and contrast the functions for a greater depth of knowledge. The final unit in the course deals with describing data and interpreting linear models. The Standards for  Mathematical Practice apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

    Prerequisite

    Successful completion of Grade 8 Mathematics

     

    Course Title

    GSE Geometry (Available in 2018-2019 for students entering 9th grade in 2017-2018 school year and beyond)

    Course Number

     4460 Honors: 4461

     

     

    Course Description

    The focus of  Geometry on the coordinate plane is organized into 6 critical areas. Transformations on the coordinate plane provide opportunities for the formal study of congruence and similarity. The study of similarity leads to an understanding of right triangle trigonometry and connects to

    quadratics through Pythagorean relationships. The study of circles uses similarity and congruence to develop basic theorems relating circles and lines. The need for extending the set of rational numbers arises and real and complex numbers are introduced so that all quadratic equations can be solved. The use of previous geometric concepts such as distance, midpoint, and slope will be used to verify algebraically geometric relationships of figures in the coordinate plane. The link between probability and data is explored through conditional probability. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

    Prerequisite

    Successful completion of GSE Algebra I

     

    Course Title

     GSE Algebra II (Available in 2019-2020 for students entering 9th grade in 2017-2018 school year and beyond)

    Course Number

     

     

     

    Course Description

    It is in GSE Algebra II that students pull together and apply the accumulation of learning that they have from their previous courses, with content grouped into six critical areas, organized into units. They apply methods from probability and statistics to draw inferences and conclusions from data. Students expand their repertoire of functions to include polynomial, rational, and radical functions. They expand their study of right triangle trigonometry to model periodic phenomena. And, finally, students bring together all of their experience with functions and geometry to create models and solve contextual problems. The Mathematical Practice Standards apply throughout each course and together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes uses of their ability to make sense of problem situations.

    Prerequisite

    Successful completion of GSE Geometry

     

     

    Course Title

     GSE Advanced Algebra

    Course Number

    4520  Honors Version:  4527

     

     

     

    Course Description

    It is in Advanced Algebra that students pull together and apply the accumulation of learning that they have from their previous courses, with content grouped into six critical areas, organized into units. They apply methods from probability and statistics to draw inferences and conclusions from data. Students expand their repertoire of functions to include polynomial, rational, and radical functions. They expand their study of right triangle trigonometry to model periodic phenomena. And, finally, students bring together all of their experience with functions and geometry to create models and solve contextual problems. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

    Prerequisite

    Successful completion of CCGPS Analytic Geometry

     

    Course Title

     GSE Pre-Calculus

    Course Number

    4530  Honors Version:  4537

     

     

     

    Course Description

    Pre-Calculus focuses on standards to prepare students for a more intense study of mathematics. The critical areas organized in seven units delve deeper into content from previous courses. The study of circles and parabolas is extended to include other conics such as ellipses and hyperbolas. Trigonometric functions are further developed to include inverses, general triangles and identities. Matrices provide an organizational structure in which to represent and solve complex problems. Students expand the concepts of complex numbers and the coordinate plane to represent and operate upon vectors. Probability rounds out the course using counting methods, including their use in making and evaluating decisions. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

    Prerequisite

    Successful completion of CCGPS Advanced Algebra



    Course Title

    Advanced Finite Mathematics

    Course Number

     

     

     

     

    Course Description

    Advanced Finite Mathematics is designed to meet the needs of advanced students who have completed Pre-Calculus. The course will examine mathematics in set theory, number theory, combinatorics, and graph theory.

    Prerequisite

    Successful completion of Pre-Calculus or its equivalent

     

    Course Title

     Calculus

    Course Number

     4762

    Course Description

    Calculus is a fourth year mathematics course option that includes problem solving, reasoning and estimation, functions, derivatives, application of the derivative, integrals, and application of the integral.

    Prerequisite

    Successful completion of Pre-Calculus or its equivalent

     

    Course Title

    Advanced Placement Calculus (AB / BC) Course Number:

    Course Number

    AB: 4764     BC: 4766

    Course Description

    These courses are comparable to the first and second college level calculus courses. Students will be required to take the Advanced Placement Calculus AB or BC Exam. The courses include a study of elementary functions, limits and continuity, and differential and integral calculus.

    Prerequisite

    Successful completion of CCGPS Pre-Calculus or its equivalent