MATH FLOW CHART
MATH FLOW CHART
MATH COURSES
Mathematics
The state of Indiana requires that students take a math class during each year of high school, a requirement that can be satisfied during their senior year with a quantitative reasoning course.
Credit for Math in Middle School
The purpose of offering Algebra I and Geometry in middle school is to allow students the opportunity to take advanced math courses during their junior and senior years. Students who do not perform well in Algebra I at the eighth grade level are required to retake the course during their freshman year.
Doubling Up Option in Math
In an effort to take full advantage of the advanced math courses offered, students may take two math courses at the same time. This is an option during the freshman or sophomore years by taking Geometry/Advanced Geometry and Advanced Algebra II. This doubling up is only for those students who have high grades in Algebra I, therefore proving their ability to manage challenging coursework.
After taking Pre-Calculus any student may double up by taking two math course electives. Options would include Calculus, Finite Mathematics, Quantitative Reasoning or an eligible elective.
2520S1/2520S2 Algebra I
Recommended Grade: 9-12
Required Prerequisites: None
Recommended Prerequisites: None
Note: 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.
Credits: 2 semester course, 1 credit per semester
Fulfills a Mathematics course requirement for all diplomas
Fulfills the Algebra I/Integrated Mathematics I requirement for all diplomas
Course Description: Algebra I formalizes and extends the mathematics students learned in the middle grades. Algebra I is made up of six 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 data that exhibit a linear trend. Students will also engage in methods for analyzing, solving, and using quadratic functions.
2532S1/2532S2 Geometry
Recommended Grade: 9-11
Required Prerequisites: None
Recommended Prerequisites: Algebra I
Credits: 2 semester course, 1 credit per semester
Fulfills a Mathematics course requirement for all diplomas
Fulfills the Geometry/Integrated Mathematics II requirement for the Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas
Course Description: 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. Critical areas comprising the Geometry course are as follows: Points, Lines, Angles, and Planes; Triangles; Quadrilaterals and Other Polygons; Circles; Transformations; and Three-dimensional Solids.
2532HS1/2532HS2 Advanced Geometry
Recommended Grade: 9-11
Required Prerequisites: Successful completion of Algebra I with a grade of "C" or higher
Recommended Prerequisites: Algebra I
Credits: 2 semester course, 1 credit per semester
Fulfills a Mathematics course requirement for all diplomas
Fulfills the Geometry/Integrated Mathematics II requirement for the Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas
Course Description: Geometry Honors allows students to study topics from Geometry in more depth. This course 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. Critical areas comprising the Geometry course are as follows: Points, Lines, Angles, and Planes; Triangles; Quadrilaterals and Other Polygons; Circles; Transformations; and Three-dimensional Solids.
2522S1/2522S2 Algebra II
Recommended Grade: 10-12
Required Prerequisites: Successful completion of Algebra I and Geometry or Geometry Honors
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Fulfills a Mathematics course requirement for all diplomas
Fulfills the Algebra II/Integrated Mathematics III requirement for all diplomas
Course Description: 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. Algebra II is made up of 7 strands: Complex Numbers and Expressions; Functions; Systems of Equations; Quadratic Equations and Functions; Exponential & Logarithmic Equations and Functions; Polynomial, Rational, and Other Equations and Functions; and Data Analysis, Statistics, and Probability.
2522HS1/2522HS2 Advanced Algebra II
Recommended Grade: 9-10
Required Prerequisites: Algebra I and Geometry or Geometry Honors (may be taken concurrently with Geometry Honors if the prerequisite grade of an “A “in Algebra I is met)
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Fulfills a Mathematics course requirement for all diplomas
Fulfills the Algebra II/Integrated Mathematics III requirement for all diplomas
Course Description: Algebra II Honors is a course that will prepare students for higher level mathematics courses such as Pre-Calculus and Calculus. It 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. Algebra II Honors is made up of 7 strands: Complex Numbers and Expressions; Functions; Systems of Equations; Quadratic Equations and Functions; Exponential & Logarithmic Equations and Functions; Polynomial, Rational, and Other Equations and Functions; and Data Analysis, Statistics, and Probability.
2564S1/2566S2 Pre-Calculus
Recommended Grade: 10-12
Required Prerequisites: Successful completion of Geometry or Geometry Honors and Algebra 2 with an A and a teacher recommendation or Algebra 2 Honors with an C or better
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Dual Credit Information: Pending an application and demonstration of prerequisite requirements, students may earn credit for MATH 136 (3 credits) and MATH 137 (3 credits) through Ivy Tech Community College.
Fulfills a Mathematics course requirement for all diplomas
Course Description: The first semester of Pre-Calculus extends the foundations of algebra and functions developed in previous courses, to introduce new functions, including exponential and logarithmic functions, and to higher-level sequences and series. Pre-Calculus (semester one) is made up of four strands: Complex Numbers; Functions; Quadratic, Polynomial, and Rational Equations and Functions; and Exponential and Logarithmic Equations and Functions. Semester two is a study of Trigonometry and Parametric Equations. 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. This is a grade weighted course.
Important: This course is designed for students who expect math to be a major component of their future college and career experiences, as such it is designed to provide students with strong foundations for calculus and other higher level math courses.
2550S1/2550S2 Quantitative Reasoning
Recommended Grade: 11-12
Required Prerequisites: Successful completion of Algebra II or Algebra II Honors
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Dual Credit Information: Pending an application and demonstration of prerequisite requirements, students may earn credit for MATH 123 (3 credits) through Ivy Tech Community College.
Fulfills a Mathematics course requirement for all diplomas
Course Description: Quantitative Reasoning is a mathematics course focused on 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. Technology, such as computers and graphing calculators, should be used frequently. This higher-level mathematics course is designed to align with college-level quantitative reasoning courses for dual secondary/college credit. 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. This is a grade weighted course.
2530S1/2530S2 Finite Math
Recommended Grade: 11-12
Required Prerequisites: Successful completion of Algebra II
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Dual Credit Information: Pending an application and demonstration of prerequisite requirements, students may earn credit for MATH 135 (3 credits) through Ivy Tech Community College.
Fulfills a Mathematics course requirement for all diplomas
Course Description: 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: Sets, Matrices, Networks, Optimization, and Probability. Technology, such as computers and graphing calculators, should be used frequently. The Process Standards for Mathematics apply throughout 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. This is a grade weighted course.
2562S1/2562S2 AP Calculus AB
Recommended Grade: 11-12
Required Prerequisites: Successful completion of Pre-Calculus
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Dual Credit Information: Pending an application and demonstration of prerequisite requirements, students may earn credit for MATH 211 (4 credits) through Ivy Tech Community College.
Fulfills a Mathematics course requirement for all diplomas
Course Description: 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. Successful completion of the Advanced Placement Calculus Test in the spring can result in one semester of credit from many colleges and universities. This is a grade weighted course.
Advanced Placement Information: It is expected that students who take this course will also take the Advanced Placement test in May.
2572S1/2572S2 AP Calculus BC
Recommended Grade: 11-12
Required Prerequisites: Successful completion of Pre-Calculus
Recommended Prerequisites: None
Credits: 2 semester course, 1 credit per semester
Advanced Placement Information:
Fulfills a Mathematics course requirement for all diplomas
Course Description: AP Calculus BC 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. AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AP Calculus AB to different types of equations and introduces the topic of sequences and series. This course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus 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. The content of AP Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for AP Calculus AB. This is a grade weighted course.
Advanced Placement Information: It is expected that students who take this course will also take the Advanced Placement test in May. College credit may be earned if the student scores a 3, 4, or 5 on the AP test.