### Course Descriptions

Everyday Algebra (9)

In Everyday Algebra, students will have an algebra class every day their entire freshmen year.  Everyday Algebra will provide a formal development of the algebraic skills and concepts necessary for passing the End of Course Assessment (ECA).  Students will learn new algebraic concepts combined with skills they learned in middle school.  Topics include (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) polynomials, (5) algebraic fractions, and (6) non-linear equations.  Taking this class on a daily basis will allow for more time spent on each topic while earning 2 credits each semester.  By the end of the course, students will have earned 4 math credits and have the opportunity to take the ECA.

Algebra I (9-12)

The Algebra I class will meet every other day, a normal block schedule.  Algebra I provides a formal development of the algebraic skills and concepts necessary for students to succeed in advanced math courses.  In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem solving situations.  Algebra I will provide a formal development of the algebraic skills and concepts necessary for passing the End of Course Assessment (ECA).  Topics include (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) polynomials, (5) algebraic fractions, and (6) non-linear equations.  By the end of the course, students will have earned 2 math credits and have the opportunity to take the ECA.

Algebra II (11-12)

Algebra II continues the study of algebra by exposing gifted students to in-depth problem solving and real-world applications.  Emphasis is on the structure of the systems of real and complex numbers.  Students improve their skills in deductive reasoning, learn to appreciate the need for precise language, and comprehend the function concept and its importance in mathematics.  Topics include (1) linear and quadratic functions, (2) matrices, (3) rational expressions and equations, (4) exponential and logarithmic relations, (5) sequences and series, (6) probability, and (7) systems of linear equations and inequalities.

Algebra IIH (9)

Algebra IIH continues the study of algebra by exposing gifted students to in-depth problem solving and real-world applications.  Emphasis is on the structure of the systems of real and complex numbers.  Students improve their skills in deductive reasoning, learn to appreciate the need for precise language, and comprehend the function concept and its importance in mathematics.  Topics include (1) linear and quadratic functions, (2) matrices, (3) rational expressions and equations, (4) exponential and logarithmic relations, (5) sequences and series, (6) probability, and (7) systems of linear equations and inequalities.                                               Prerequisite is Algebra IA in middle school.

Geometry (10-12)

Geometry continues the mathematical study begun in Algebra I. The course is structured around a more informal exploratory approach to geometry. Geometry plays an important role in other areas of mathematics. It also helps students represent and make sense of the world. Students will be provided with experiences that deepen their understanding of shapes and their properties. Students will be given opportunities to visualize and work with two and three-dimensional figures to facilitate the development of spatial skills fundamental to careers and to everyday life. Geometry requires many reading and reasoning skills as the ability to work with numbers. The prerequisite for this course is Algebra I.

Geometry H (10)

Geometry H is for gifted students who successfully completed Algebra IIH. It is the study of geometrical ideas that incorporate activities and experiments to improve knowledge, comprehension, reasoning, analysis, and synthesis. Investigation and discovery are
integral parts of this course.

Discrete Math (11-12)

Discrete Math covers many of the new uses of mathematics in the social and management sciences. Many of the topics are less than 50 years old. Topics include counting, matrices, recursion, graph theory, social choices, linear programming, game theory, logic coding, querying, sets, growth patterns, induction, and some traditional topics from college algebra.

Investigative Geometry (11-12)

This course is a study of geometric concepts and applications. Emphasis is on an investigative study of basic properties of lines, angles, triangles, polygons, and circles as well as spatial relationships, inductive reasoning, and logical thinking. Drawing and interpreting planar and spatial phenomena, transformations, and geometric problem-solving are also included.

Probability /Statistics (11-12)

Statistics is a course that develops appreciation for statistical techniques in the analysis of data and develops students’ skills in applying these techniques. Topics include methods of data collection, organization of data, and graphical techniques for exhibiting data together with measures of central tendency and variation. Basic laws of probability ampling theory, hypotheses testing and making inferences and samples are also included. Students will plan and conduct experiments or surveys and analyze the resulting data. Use of technology including graphing calculators and relevant computer programs is essential. Prerequisites for this course are Geometry, Geometry or H and Algebra II, or IIH.

Trigonometry (11-12)

Trigonometry has its origins in the study of triangle measurement. Natural generalizations of the ratios of right-triangle trigonometry give rise to both trigonometric and circular functions. These functions, especially the sine and cosine are mathematical models for many periodic real world phenomena. Students studying trigonometry will explore data from such real world phenomena. They will also identify and analyze the corresponding trigonometric models. The study of inverse trigonometric functions, trigonometric equations and identities, the Law of Sines and the Law of Cosines, vectors, and polar coordinates are included in the course. Prerequisites for the course are Geometry, Geometry H, and Algebra II, or IIH.

Pre-Calculus (11-12)

Pre-Calculus is a two-semester course that blends all of the concepts and skills that must be mastered before enrollment in A.P. Calculus. Pre-Calculus provides a functional approach for the integration of trigonometric concepts, relationships of equations and graphs, and applications. The use of appropriate technology is essential as students refine their ability to solve and interpret equations and broaden their understanding of functions and their graphs. Pre-Calculus replaces the separate Trigonometry and Analytic Geometry courses. Prerequisites for the course are Geometry or Geometry H and Algebra II, or IIH
Calculus Advanced Placement (12)
Advanced Placement Calculus is a two-semester course of advanced mathematics comparable to first-year college level calculus. Current College Board “Advanced Placement Course Description - Mathematics: Calculus AB, Calculus BC” guidelines are incorporated within the course, and some students will be expected to accelerate their mathematics education during the first year of college. In order to develop consistency in the curriculum taught in AP Calculus classes across Indiana, the level of difficulty of the material should be no less than that of an Advanced Placement Calculus - Level AB course. The prerequisite for the course is Pre-Calculus or Trigonometry.