# Mathematics

- Algebra I Lab
- Algebra I
- Algebra I-Academic
- Algebra II
- Algebra II- Academic
- Algebra II- Honors
- Geometry
- Geometry- Academic
- Geometry- Honors
- Pre-Calculus: Algebra and Pre-Calculus: Trigonometry
- Pre-Calculus: Algebra Honors and Pre-Calculus: Trigonometry Honors
- Calculus
- Pre-Calculus: Trigonometry
- AP Calculus
- AP Statistics
- Finite Mathematics
- Linear Algebra
- Mathematics Lab
- Multivariate Calculus
- PRIME Math
- Probability and Statistics
- Quantitative Reasoning

## Algebra I Lab

**DOE: **2516 **Credit/s: **2 **Semester/s:** 2

**Prerequisite/s:** Must be taken while also enrolled in Algebra I

This course is a mathematics support course for Algebra I, providing 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. *This course 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 I

## Algebra I-Academic

**HHS Only**

**DOE: **2520

**Credit/s:** 2

**Semester/s:** 2

**Prerequisite/s: **8th grade Math

Algebra I Academic formalizes and extends the mathematics students learned in the middle grades. Algebra I Academic is made up of 5 strands: Real Numbers and Expressions; Functions; Linear Equations, Inequalities, and Functions; Systems of Equations and Inequalities; Quadratic and Exponential Equations and Functions; and Data Analysis and Statistics. These critical areas deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to date that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. The eight Process Standards for Mathematics apply throughout the course. Together with 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.

## Algebra II

## Algebra II- Academic

**DOE:** 2522

**Credit/s: **2

**Semester/s:** 2

**Prerequisite/s: **Successful completion of Algebra I and Academic Geometry MHS Only

*Successful completion of Academic Algebra I and Academic Geometry HHS Only*

This course is strongly recommended for college preparatory students who have shown proficiency in Algebra I. Following a brief review of beginning algebra, fundamental concepts of function are further developed. Advanced topics are studies including Conics.

## Algebra II- Honors

**DOE:** 2522** Credit/s:** 2** Semester/s: **2

**Prerequisite/s: **Successful completion of Honors Geometry and selection by ID committee

This course will cover all topics normally covered in Academic Algebra II plus additional topics including matrices and trigonometry. Topics will be covered with more theory and in depth than Academic Algebra II. Students with a semester grade lower than 75%, will be moved to a corresponding Academic Algebra II.

## Geometry

**DOE: **2532** Credit/s:** 2 **Semester/s:** 2

**Prerequisite/s:** Successful completion of Algebra I

Geometry is the systematic study of geometric elements and their relationships. Deductive reasoning is emphasized. Some space geometry and coordinate geometry are included. Geometry is usually required for admission to most colleges and may be helpful for technical schools.

## Geometry- Academic

**DOE:** 2532

**Credit/s: **2

**Semester/s: **2

**Prerequisite/s:** Successful completion of Algebra I MHS Only

* Successful completion of Academic Algebra I HHS Only*

This course begins by considering the basic but foundational truths of the systematic approach to geometry using ironclad reasoning. The course will evolve into proofs of fundamental angle pairs, triangle congruence, quadrilateral relationships, and basic trigonometry. Also, the course will tie in algebraic concepts experienced through geometric relativity.

## Geometry- Honors

## Pre-Calculus: Algebra and Pre-Calculus: Trigonometry

**DOE: **2564 (Pre-Calculus: Algebra)

**DOE: **2566 (Pre-Calculus: Trigonometry)

**Credit/s:** 2

**Semester/s: **2

**Prerequisite/s: **Successful completion of Algebra II-Academic or Selection by ID Committee

Pre-Calculus: Algebra extends the foundations of algebra and functions developed in previous courses to new functions, including exponential and logarithmic functions, and to sequences and series. The course provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement. Pre-Calculus: Algebra is made up of five strands: Functions; Quadratic, Polynomial, and Rational Equations and Functions: Exponential and Logarithmic Functions and Equations; Sequences and Series; and Conics. 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. 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 ***Taken in conjunction with Pre-Calculus: Trigonometry**

Pre-Calculus: 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 that are encountered in many disciplines, including music, engineering, medicine, finance, and nearly all other STEM disciplines. Trigonometry consists of six strands: Unit Circle; Triangles; Periodic Functions; Identities; Polar Coordinates and Complex Numbers; and Vectors. Students will also advance their understanding of imaginary numbers through an investigation of complex numbers and polar coordinates. A strong understanding complex and imaginary numbers is a necessity for fields such as engineering and computer programming. 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. ***Taken in conjunction with Pre-Calculus: Algebra or can be taken independently**

## Pre-Calculus: Algebra Honors and Pre-Calculus: Trigonometry Honors

**DOE:** 2564 (Pre-Calculus: Algebra)

**DOE: **2566 (Pre-Calculus: Trigonometry Honors)

**Credit/s:** 2

**Semester/s:** 2

**Prerequisite/s: **Algebra II- Academic and selection by ID committee

Pre-Calculus: Algebra Honors extends the foundations of algebra and functions developed in previous courses to new functions, including exponential and logarithmic functions, and to sequences and series. The course provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement. Pre-Calculus: Algebra Honors is made up of five strands: Functions; Quadratic, Polynomial, and Rational Equations and Functions: Exponential and Logarithmic Functions and Equations; Sequences and Series; and Conics. 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. 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 coherents, useful, and logical subject that makes use of their ability to make sense of problem situations. ***Taken in conjunction with Pre-Calculus: Trigonometry Honors**

Pre-Calculus: Trigonometry Honors 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 that are encountered in many disciplines, including music, engineering, medicine, finance, and nearly all other STEM disciplines. Trigonometry consists of six strands: Unit Circle; Triangles; Periodic Functions; Identities; Polar Coordinates and Complex Numbers; 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. 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. ***Taken in conjunction with Pre-Calculus: Algebra Honors or can be taken independently**

## Calculus

**HHS Only**

**DOE:** 2527

**Credit/s: **2

**Semester/s:** 2

**Prerequisite/s:** Pre-Calculus

**Recommended Grade Level:** 11, 12

Calculus expands a student's knowledge of topics like functions, graphs, limits, derivatives, and integrals. Additionally, students will review algebra and functions, modeling, trigonometry, etc. Calculus is made up of five strands: Limits and Continuity; Differentiation; Applications of Derivatives; Integrals; and Applications of Integrals. 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 make use of their ability to make sense of problem situations.

## Pre-Calculus: Trigonometry

**HHS Only**** DOE:** 2566** Credit/s: **1 **Semester/s: **1

**Prerequisite/s:** Algebra II

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 that are encountered 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. 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.

*NOTE: Students can't receive credits for both Trigonometry and Pre-Calculus/Trigonometry*

## AP Calculus

**DOE:** 2562 (AB Calculus A/P) & **DOE:** 2572 (BC Calculus A/P)

**Credit/s:** 2

**Semester/s: **2

**Prerequisite/s:** Successful completion of Pre-Calculus

*Advanced Placement is a course based on content established by the College Board*

The subject of calculus concerns the study of tangents or rates of change and the study of area. It also includes many of the consequences and applications of these topics. At the end of the second semester, students will take the AP Calculus exam.

## AP Statistics

**DOE:** 2570

**Credit/s:** 2

**Semester/s:** 2

**Prerequisite/s:** Successful completion of Algebra II , 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.

## Finite Mathematics

**DOE:** 2530** Credit/s:** 1 **Semester/s:** 1

**Prerequisite/s:** Algebra II (may take concurrently with instructor approval)

This course covers many topics not necessarily covered in the Algebra I, Geometry, Algebra II, Pre-Calculus, Calculus sequence of courses. The purpose of this course is to give a survey of mathematical analysis techniques use in the working world. It teaches analytical thinking and gives valuable experience at organizing information and then examining it. Suggested course for a student considering a major in business, accounting, or computers.

## Linear Algebra

**Credit/s: **1** Semester/s: **1

**Prerequisite/s:** Open to any TSC student having taken Advanced Placement Calculus, Level BC (MA 153/154), or with the consent of the department head

This course is an introduction to linear algebra. Covering systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues, diagonalization of matrices, and some applications of these topics.

## Mathematics Lab

**DOE:** 2560 **Credit/s: **1-8 **Semester/s:** 1-8

Mathematics Lab provides students with individual instruction designed to support success in completing mathematics coursework aligned with *Indiana's Academic Standards for Mathematics*. This course does not meet mathematics credit requirements for graduation. This course may be offered for one to eight elective mathematics credits.

## Multivariate Calculus

## PRIME Math

**DOE:** 2595

**Credit/s:** 2

**Semester/s:** 2

*Recommended Grade Level: 12*

*Prerequisite/s: Algebra II or Analytical Algebra II*

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.

## Probability and Statistics

**DOE:** 2546** Credit/s:** 1** Semester/s: **1

**Prerequisite/s: **Successful completion of Algebra II

Statistics is the study of how to collect, organize, analyze, and interpret data. The goal of probability is to numerically measure how likely a statement is to be true, how likely an event is to occur, or what we should expect the outcome of a process to be.

## Quantitative Reasoning

**DOE: **2550

**Credit/s:** 1 or 2

**Semester/s: **1 or 2 (Each Semester is independent)

**Prerequisite/s: **Completion of Algebra I, Geometry, and Algebra II

This course is the study of numeracy, ratio and proportional reasoning, modeling, probabilistic reasoning to assess risk, and statistics. Students build knowledge of and confidence with basic mathematical/analytical concepts and operations required for problem solving, decision making, and economic productivity in real world applications and prepare for an increasingly information-based society in which the ability to use and critically evaluate information, especially numerical information, is essential.