ALGEBRA I
Full year course, 1 credit per semester – Prerequisites: 1st semester, teacher recommendation; 2nd semester, passing grade in 1st semester (DOE Course Code: 2520)

Algebra I provide a formal development of the algebraic skills and concepts necessary for students who will take other math courses. In particular, the instructional methods in this course provide for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course. Topics include: properties of real numbers, solution sets, basic operations with polynomials, solving quadratic equations and systems of equations, use of exponents, and introductory topics from statistics and probability.

ALGEBRA II
Full year course, 1 credit per semester – Prerequisites: For Algebra II, the Prerequisite is Algebra I; for Algebra II CP, it is Algebra I, passed with a “C” or better; for Algebra II H, they are Algebra I and Geometry H, both passed with an 80% grade; or teacher recommendation (DOE Course Code: 2522)

This course is taught in different classes based on learning styles and student skill level. Algebra II H it operates at a deeper, more challenging level and runs at a quicker pace.

Algebra II expands on the topics of Algebra I and provides further development of the concept of a function. The expanded topics of the course include: (1) the theorems and algorithms of algebra; (2) polynomials and polynomial functions; (3) rational exponents; (4) the complex number system; (5) sequences and series; (6) exponential and logarithmic functions; and (7) algebraic fractions.

CALCULUS  I
Full year course, 1 credit per semester – Prerequisite: Pre-Calculus (passed with a C or better) (DOE course code: 2527)
Calculus expands a student’s knowledge of topics including functions, graphs, limits, derivatives, and integrals. Additionally, students will review algebra and functions, modeling, and trigonometry. The use of graphing calculators is encouraged.

CALCULUS AB: AP  
Full year course, 1 credit per semester – Prerequisites: Geometry H, Algebra II H, and H, passed with an 80% or higher or better OR teacher recommendation (DOE Course Code: 2562)

Calculus AP is a two-semester course for highly motivated math students. Students in this course will take the AB level Advanced Placement Test in Calculus on a predetermined date in May. College credit may be earned for this course. This is a course which provides students with the content that has been established by the College Board. Topics include: (1) limits, (2) continuity, (3) derivatives, (4) definite integrals, and (5) techniques of integration involving rational, trigonometric, logarithmic, and exponential functions. This course also includes applications of the derivative, the integral, and the theory of calculus. The use of graphing technology is required. Dual Credit may be earned through Ivy Tech course number MATH 211.

FINITE MATHEMATICS I
Full year course, 1 credit per semester – Prerequisites: Algebra II CP and Geometry II CP, passed with a “C” or better (DOE Course Code: 2530)

Finite Mathematics is an umbrella of mathematical topics. It is a course designed for students who will undertake higher-level mathematics in college that may not include calculus. Topics include: (1) counting techniques, (2) matrices, (3) recursion, (4) graph theory, (5) social choice, (6) linear programming, and (7) game theory.  Dual \Credit may be earned through Ivy Tech course number MATH 135.


GEOMETRY
Full year course, 1 credit per semester – Prerequisites: For Geometry, the Prerequisites are Algebra I and Algebra II; for Geometry CP, they are Algebra I and Algebra II CP; passed with a “C” or better; for Geometry H, it is teacher recommendation (if they took Algebra I in 7th or 8th grade, they must have passed with an 80% or higher) (DOE Course Code: 2532)

This course is taught in different classes based on learning styles and student skill level. Geometry H operates at a deeper, more challenging level and runs at a quicker pace.

Geometry students examine the properties of two- and three-dimensional objects. Proof and logic, as well as investigative strategies in drawing conclusions, are stressed. Properties and relationships of geometric objects include the study of: (1) points, lines, angles, and planes; (2) polygons, with a special focus on quadrilaterals, triangles, and right triangles; (3) circles; and (4) polyhedra and other solids.

INTEGRATED MATHEMATICS I 
Full year course, 1 credit per semester – Prerequisites: teacher/counselor recommendation (DOE Course Code: 2554)

Integrated Mathematics I formalizes and extends the mathematics students learned in the middle grades. The critical areas deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Integrated Mathematics I uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. The final unit in the course ties together the algebraic and geometric ideas studied. The eight Process Standards for Mathematics apply throughout the course. Together with the content standards, the Process 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.
 
INTEGRATED MATHEMATICS II
Full year course, 1 credit per semester – Prerequisites: Algebra I or teacher/counselor recommendation (DOE Course Code: 2556)

Integrated Mathematics II focuses on quadratic expressions, equations, and functions by comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Mathematics I. 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 link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles, with their quadratic algebraic representations, rounds out the course. The eight Process Standards for Mathematics apply throughout the course. Together with the content standards, the Process 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. 

INTEGRATED MATHEMATICS III
Full year course, 1 credit per semester – Prerequisites: Integrated Mathematics II (DOE Course Code: 2558)

Integrated Mathematics III provides students the opportunity to pull together and apply the accumulation of learning that they have from their previous courses. 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 include general triangles. Finally, students bring together all of their experiences with functions and geometry to create models and solve contextual problems. The eight Process Standards for Mathematics apply throughout the course. Together with the content standards, the Process 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.

PRECALCULUS/TRIGONOMETRY CP  I
Full year course, 1 credit in PreCalculus 1st semester and 1 credit in Trigonometry 2nd semester – Prerequisites: Algebra I, Geometry CP, and Algebra II CP; passed with a “C” or better (DOE Course Code: 2564 and 2566)

PreCalculus CP blends together all concepts and skills that must be mastered prior to enrollment in a college-level calculus course. A functional approach provides for the integration of all of the concepts listed for the course in Trigonometry plus: (1) the relationship of equations and graphs of linear, quadratic, and parametric equations; and (2) translation of axes. The course includes the theory of equations and exponential and logarithmic functions.  Dual Credit may be earned through Ivy Tech course numbers MATH 136 and MATH 137.
 
PRECALCULUS/TRIGONOMETRY H  I
Full year course, 1 credit in PreCalculus 1st semester and 1 credit in Trigonometry 2nd semester – Prerequisites: Geometry H and Algebra II H with an 80% or higher OR teacher recommendation (DOE Course Code: 2564 and 2566)

PreCalculus H operates at a deeper, more challenging level and runs at a quicker pace. Dual Credit may be earned through Ivy Tech course numbers MATH 136 and MATH 137.

Semester 1: PreCalculus H blends the concepts and skills that must be mastered before enrollment in a college-level calculus course. The course includes the study of (1) relations and functions, (2) exponential and logarithmic functions, (3) complex numbers, (4) sequences and series, and (5) data analysis.

Semester 2: Trigonometry includes the study of (1) trigonometry in triangles, (2) trigonometric functions, (3) trigonometric identities and equations, and (4) polar coordinates and complex numbers.

PROBABILITY AND STATISTICS
1 semester course, 1 credit, offered 2nd semester – Prerequisite: Algebra II (passed with a C or better) (DOE course code: 2546)

Probability and Statistics includes the concepts and skills needed to apply statistical techniques in the decision-making process and is made up of three strands: Data Analysis, Experimental Design, and Probability. Practical examples based on real experimental data are used throughout. Students plan and conduct experiments or surveys and analyze the resulting data. The use of graphing calculators and computer programs is encouraged.

STATISTICS: AP
Full year course, 1 credit per semester – Prerequisites: Algebra II CP or H, Geometry CP or H, passed with a grade of “C” or better, can be taken concurrently with PreCalculus or Calculus (DOE Course Code: 2570)

Statistics AP is a course in which students interpret graphical displays of distributions, summarize distributions, and explore bivariate data. Students study methods of collecting data and planning and conducting surveys and experiments. Probability is explored through simulations, probability rules, random variables, normal distributions, binomial distributions, geometric distributions, and the Central Limit Theorem. Statistical inference is studied through confidence intervals for means and proportions and through tests of significance. Students are encouraged to take the Advanced Placement exam in May. Most 4-year degrees require at least one Statistics course be taken. A passing score on the AP exam will earn credit for an introductory Statistics course at most universities.

TRIGONOMETRY
1 semester course, 1 credit, offered 1st semester – Prerequisite: Algebra II and Geometry (passed with a C or better) (DOE course code: 2566)

Trigonometry provides the foundation for common periodic functions that are encountered in many disciplines and consists of seven strands: Conics, unit circle, Geometry, Periodic Functions, Identities, Polar Coordinates, and Vectors. Students will also advance their understanding of imaginary numbers through an investigation of complex numbers and polar coordinates.