Mathematics

Personal Financial Responsibility addresses the identification and management of personal financial resources to meet the financial needs and wants of individuals and families, considering a broad range of economic, social, cultural, technological, environmental, and maintenance factors. This course helps students build skills in financial responsibility and decision making; analyze personal standards, needs, wants, and goals; identify sources of income, savings, and investing; understand banking, budgeting, record-keeping and managing risk, insurance and credit card debt. A project based approach and applications through authentic settings such as work based observations and service learning experiences are appropriate. Direct, concrete applications of mathematics proficiencies in projects are encouraged.

•  Recommended Grade(s): 10, 11, 12

•  Required Prerequisites: None

• Recommended Prerequisites: None

• 1 credit per semester, 1 credit maximum

• Counts as a quantitative reasoning course

• Counts as a directed elective or elective for all diplomas

Algebra I formalizes and extends the mathematics students learned in the middle grades. Five critical areas comprise Algebra I: Relations and Functions; Linear Equations and Inequalities; Quadratic and Nonlinear Equations; Systems of Equations and Inequalities; and Polynomial Expressions. The critical areas deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. 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.

• Credits: A two credit course

• 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

• Qualifies as a Quantitative Reasoning course for the General, Core 40, AHD, and THD diplomas

Algebra Enrichment is a mathematics support course for Algebra I.  The course provides students with additional time to build the foundations necessary for high school math courses, while concurrently having access to rigorous, grade-level appropriate courses.  The five critical areas of Algebra Enrichment align with the critical areas of Algebra I:  Relationships between Quantities and Reasoning with Equations; Linear and Exponential Relationships; Descriptive Statistics; Expressions and Equations; and Quadratic Functions and Modeling.  However, whereas Algebra I contains exclusively grade-level content, Algebra Enrichment combines standards from high school courses with foundational standards from the middle grades.

• Credits: A two credit course

• Teacher Recommendation

• 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 

• Algebra Enrichment is designed as a support course for Algebra I. As such, a student taking Algebra Enrichment must also be enrolled in Algebra I during the same academic year.

2522                                                                        

2522H

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. 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:  Algebra I

• Credits: A two credit course

• 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

• Qualifies as a Quantitative Reasoning course for the General, Core 40, AHD, and THD diplomas

Geometry formalizes and extends students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Six critical areas comprise the Geometry course: Congruency and Similarity; Measurement; Analytic Geometry; Circles; and Polyhedra. Close attention should be paid to the introductory content for the Geometry conceptual category found in the high school INCC 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:  Algebra I

• Credits: A two credit course

• 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

The PRIME Math course utilizes curriculum developed by the Southern Regional Education Board (SREB) that includes and reinforces the Algebra I, Geometry, Algebra II, and Statistics skills necessary for postsecondary success. This course emphasizes understanding of math concepts rather than just memorizing procedures. PRIME math emphasizes students' reasoning and sense making about procedures (e.g., why to use a certain formula or method to solve a problem). This equips them with higher-order thinking skills in order to apply math skills, functions, and concepts in different situations. The course is intended for students who currently have achieved the minimum math requirements at the secondary level, but need additional experiences to enhance their mathematical knowledge before pursuing credit-bearing courses at a postsecondary institution. 

• Recommended Grade Level:  12

• Required Prerequisite:  Algebra II or Integrated Mathematics III or Analytical Algebra

• Credits: A two-credit course

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

2564                                                            

2564H (IU:  MATH-M 125; MATH-M 126))

2564S (Senior Only)

Pre-Calculus is a one-credit course that serves as a prerequisite for Trigonometry.  The foundations of algebra and functions developed in previous courses will be extended to new functions, including exponential and logarithmic functions, and to higher-level sequences and series. The course provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement.  Students will also advance their understanding of imaginary numbers through an investigation of complex numbers and polar coordinates. The course 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 students with strong foundations for calculus and other higher-level math courses.

• Required Prerequisite:  Algebra II and Geometry or Integrated Mathematics III

• Credits: A two-credit course

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

2566

2566H (Honors is eligible for ACP dual credit through IU)

2566S (Senior Only)

Trigonometry provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement. Trigonometry provides the foundation for common 

periodic functions encountered in many disciplines, including music, engineering, medicine, and finance (and nearly all other STEM

disciplines). Trigonometry 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. A strong understanding of complex and 

imaginary numbers is a necessity for fields such as engineering and computer programming.

• Required Prerequisite: Algebra II and Geometry or Integrated Mathematics III

• Credits: A one credit course, one semester course

• Student will not receive credit for both Trigonometry And Pre-Calculus/Trigonometry since they cover the same course content during one semester

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 

AP Precalculus is a course based on the content established and copyrighted by the College Board. The course is not intended to be used as a dual credit course. This course covers topics including modeling real-world data, exploring multiple representations, and mastering symbolic manipulation. The course teaches students to approach precalculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. 

• Recommended Grade: 10, 11, 12 

• Required Prerequisites: Algebra I, Geometry and     Algebra II 

• Credits: 2 semester course, 1 credit per semester 

• Counts as a mathematics course for all diplomas

Calculus AB, Advanced Placement is a course based on content established by the College Board. Calculus AB is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Topics include: (1) functions, graphs, and limits; (2) derivatives; and (3) integrals. Technology should be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. 

• Recommended Grade Level: Grades 11 or 12

• A graphing calculator is required (TI-84 preferred)

• 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 

Calculus BC, Advanced Placement is a course based on content established by the College Board.  Calculus BC is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Topics include: (1) functions, graphs, and limits; (2) derivatives; (3) integrals; and (4) polynomial approximations and series. Technology should be used regularly by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. 

• Advanced Placement (AP) Courses are intended to be the equivalent to the comparable college level course.  The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.

• Recommended Grade Level:  Grades 11 or 12

• A graphing calculator is required (TI-84 preferred)

• Recommended Prerequisite: Calculus AB

• Credits: A two credit course

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas 

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 and (8) statistics.  Technology, such as computers and graphing calculators, should be used frequently.

• Recommended Prerequisite:  Algebra I, Algebra II, Geometry

• Credits: A 2 credit, yearlong course based on Indiana’s Common Core Standards for Finite Mathematics 

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas

• This course is eligible for dual credit through Indiana University Advance College Project 

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 and (8) statistics.  Technology, such as computers and graphing calculators, should be used frequently.

• Recommended Prerequisite:  Algebra I, Algebra II, Geometry

• Credits: A 1 credit, 1 semester course based on Indiana’s Common Core Standards for Finite Mathematics 

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas

• This course is NOT eligible for dual credit enrollment through IU

Probability and Statistics includes the concepts and skills needed to apply statistical techniques in the decision-making process.  Topics include: (1) descriptive statistics, (2) probability, and (3) statistical inference.  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.

• Recommended Prerequisite:  Algebra I, Algebra II, Geometry

• Credits: A one credit course

• Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas

Statistics, Advanced Placement is a course based on content established by the College Board.  The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.   Topics include: (1) exploring data: describing patterns and departures from patterns (2) sampling and experimentation: planning and conducting a study, (3) anticipating patterns: exploring random phenomena using probability and simulation, and (4) statistical inference: estimating population parameters and testing hypotheses.  The use of graphing calculators and computer software is required. 

• Recommended Grade Level:  Grades 11 or 12

• Recommended Prerequisite:  Algebra I, Algebra II, Geometry

• A graphing calculator is required (TI-84 preferred) 

• Teacher approval required for 10th grade enrollment

• Credits:   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

The IB Mathematics: Analysis and Approaches course is intended for students who wish to pursue studies in mathematics at university or subjects that have a large mathematical content. It is for students who enjoy developing mathematical arguments, problem solving, and exploring real and abstract applications, with and without technology. Core topics provide students the opportunity to engage in detailed study of numbers and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. 

• Recommended Grade: 11, 12 

• Required Prerequisites: Precalculus; Trigonometry  

• Credits: 2 semester course, 1 credit per semester 

• Counts as an elective for all diplomas 

• Fulfills a Mathematics course requirement for Core 40, Core 40 with Academic Honors, Core 40 with Technical Honors and International Baccalaureate diplomas

• Qualifies as a quantitative reasoning course 

The IB Mathematics: Applications and Interpretations course is designed for students who enjoy describing the real world and solving practical problems using mathematics, those who are interested in harnessing the power of technology alongside exploring mathematical models, and who enjoy the more practical side of mathematics. Core topics provide students the opportunity to engage in detailed study of numbers and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. 

• Recommended Grade: 11, 12

• Required Prerequisites: Precalculus and/or Trigonometry

•  Credits: 2 semester course, 1 credit per semester

• Counts as an elective for all diplomas

• Fulfills a Mathematics course requirement for Core 40, Core 40 with Academic Honors, Core 40 with Technical Honors and International Baccalaureate diplomas

• Qualifies as a quantitative reasoning course