Mathematics

Course Descriptions - Mathematics

ALGEBRA I

The goal of Algebra I is to help students develop a more sophisticated understanding of algebraic concepts necessary for further study of mathematics. Algebraic skills will be developed using a wide range of problem-solving situations. Emphasis on mathematical relationships, connections and appropriate use of graphing technology within the problem-solving process are essential parts of this course. 

This class is also offered as a team taught inclusion course (with a general education and a special education teacher) which provides extra support for students who need accommodations, such as modifications of content and extended time for assignments/ tests.  

Algebra I is also offered as a self-contained class.  Direct support is given by a special education teacher and an assistant in academic, social and emotional areas.  Some of these classes are general diploma lane classes, while others are functional academic classes which go toward a non-diploma track. 
Recommended Grade Level: 9-12
Credits: 2 credits, a two-semester course with 1 credit per semester
Fulfills the Algebra I/Integrated Mathematics I requirement for the General, Core 40, Core 40 with 
Academic Honors and Core 40 with Technical Honors diplomas 
Students pursuing Core 40, Core 40 with Academics Honors, or Core 40 with Technical Honors diploma 
should receive credit for Algebra I by the end of Grade 9.

ALGEBRA ENRICHMENT
9th and some 10th grade students may be enrolled in Algebra Enrichment in addition to their Algebra I course. Algebra Enrichment is intended to provide support for students who may struggle to pass the Algebra I End of Course Assessment (ECA).

This class is also offered as a team taught inclusion course (with a general education and a special education teacher) which provides extra support for students who need accommodations, such as modifications of content and extended time for assignments/ tests.  

Algebra Enrichment is also offered as a self-contained class.  Direct support is given by a special education teacher and an assistant in academic, social and emotional areas.  Some of these classes are general diploma lane classes, while others are functional academic classes which go toward a non-diploma track. 

Credits: 2 credits, a two-semester course with 1 credit per semester
Counts as a Mathematics Course for the General Diploma only or as an Elective for the Core 40, Core 40 
with Academic Honors and Core 40 with Technical Honors diplomas 

MATH LAB
Students who have taken and not passed the Algebra I End of Course Assessment (ECA) may be enrolled in this support class meant to help students prepare for the exam which is required for graduation.
Credits: 1 credit, a one-semester course
Counts as an elective for the General Diploma, the Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

ALGEBRA II H
Algebra IIH builds on work with linear, quadratic, and exponential functions and allows for students to extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. 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. Grade 10 students improve their deductive reasoning skills and learn to appreciate the need for precise language as they are exposed to in-depth problem solving and real world applications.

Recommended Grade Level: 10
Required Prerequisite: Algebra I and Geometry H
Credits: 2 credits, a two-semester course with 1 credit per semester
Fulfills the Algebra I/Integrated Mathematics I requirement for the General, Core 40, Core 40 with 
Academic Honors and Core 40 with Technical Honors diplomas 
Students pursuing Core 40, Core 40 with Academics Honors, or Core 40 with Technical Honors diploma 
should receive credit for Algebra IIH by the end of Grade 10.

ALGEBRA II
Algebra II builds on work with linear, quadratic, and exponential functions and allows for students to extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms.
Recommended Grade Level: 11-12
Required Prerequisite:  Algebra I and Geometry
Credits: 2 credits, a two-semester course with 1 credit per semester
Fulfills the Algebra II/Integrated Mathematics III requirement for the Core 40, Core 40 with Academic 
Honors and Core 40 with Technical Honors diplomas and counts as a Mathematics Course for the 
General Diploma

GEOMETRY
Geometry continues the mathematical study begun in Algebra I. The course is structured around a more formal 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 as much reading and reasoning skills as the ability to work with numbers. Students will develop their own abstractions in order to develop formal expressions of undefined terms leading to definitions, postulates, and theorems. The prerequisite for this course is Algebra I. This course is required for Core 40.

This class is also offered as a team taught inclusion course (with a general education and a special education teacher) which provides extra support for students who need accommodations, such as modifications of content and extended time for assignments/ tests.  

Geometry is also offered as a self-contained class.  Direct support is given by a special education teacher and an assistant in academic, social and emotional areas.  Some of these classes are general diploma lane classes, while others are functional academic classes which go toward a non-diploma track. 

Recommended Grade Level: 10-12
Recommended Prerequisite:  Algebra I
Credits: 2 credits, a two-semester course with 1 credit per semester
Fulfills the Geometry/Integrated Mathematics II requirement for the Core 40, Core 40 with Academic 
Honors and Core 40 with Technical Honors diplomas and counts as a Mathematics Course for the 
General Diploma

BUSINESS MATH
This course explores the world of personal finance and introduces students to business and consumer applications. This course is designed to give students the opportunity to improve their basic mathematical skills through practical consumer applications. Students will learn to apply computational skills and basic algebraic concepts to everyday problems.

This class is also offered as a team taught inclusion course (with a general education and a special education teacher) which provides extra support for students who need accommodations, such as modifications of content and extended time for assignments/ tests.  

Business Math is also offered as a self-contained class.  Direct support is given by a special education teacher and an assistant in academic, social and emotional areas.  Some of these classes are general diploma lane classes, while others are functional academic classes which go toward a non-diploma track. 

FINITE MATH
Finite 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, queuing, sets, growth patterns, induction, and some traditional topics from college algebra.  
Recommended Grade Level: 11 or 12
Recommended Prerequisites: Geometry or Geometry H and Algebra II or Algebra IIH.
Credits: 2 credits, a two-semester course with 1 credit per semester
Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

TRIGONOMETRY
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 also included in the course. 
Recommended Grade Level:  Grades 11 or 12
Recommended Prerequisite:  Geometry or Geometry H, and Algebra II or IIH
Credits: 1 credit, a one-semester course
Counts as a Mathematics course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diploma

STATISTICS
Statistics is a course that develops appreciation for statistical techniques in the analysis of data and also 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 sampling 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 or Geometry H and Algebra II or IIH.
Recommended Grade Level: Grade 11 or 12
Recommended Prerequisite: Geometry or Geometry H and Algebra II or Algebra IIH 
Credits: 1 credit, one-semester course
Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

PRE-CALCULUS
Pre-Calculus is designed for students who expect math to be a major component of their future college and career experiences, and, as such, it is designed to provide student with strong fundamentals for calculus and other higher-level math courses. 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 also as they broaden their understanding of functions and their graphs. Pre-Calculus replaces the separate Trigonometry and Analytic Geometry courses. 

Recommended Grade Level: Grade 11 or 12
Recommended Prerequisites: Geometry or Geometry H and Algebra II or IIH. Recommended grade of B or better in prerequisite courses.
Credits: A two credit course, one credit per semester
Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 
Students who qualify may earn four hours of college credit for MATH 111 through University of Southern Indiana’s College Achievement Program (CAP).

ADVANCED PLACEMENT CALCULUS

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.
Recommended Grade Level: Grades 11 or 12
Recommended Prerequisite:  Pre-calculus/Trigonometry
Credits: A two credit course, one credit per semester
Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas