Math
The high school mathematics course of study provides a rigorous sequence of skills and concepts that will prepare students for post-secondary education and work in the 21st century. As students’ progress through high school, they will continue working in the strands started in middle school using those skills and concepts as a foundation for the individual courses taken at the high school level.
In order to graduate from Orange County Schools, a student must earn a minimum of four credits in mathematics. The three required math credits are: Math I, Math II, and Math III. The fourth math must be one additional mathematics course aligned with the student’s post high school plans.
High school math students should be able to determine appropriate technology and strategies to model and/or solve problems. Working individually or collaboratively, students should be able to communicate the mathematical processes which were involved in the investigations.
Math Course Options
Math 1
NC Math 1 - 21092X0
Credit: 1 unit
NC Math 1 provides students the opportunity to study concepts of algebra, geometry, functions, number and operations, statistics, and modeling throughout the course. The focus in NC Math 1 is on linear, exponential, and quadratic functions. These concepts include expressions in the real number system, creating and reasoning with equations and
inequalities, interpreting and building simple functions, expressing geometric properties, interpreting categorical and quantitative data.
NC Math 1 Honors - 21095X0
Credit: 1 unit
NC Math 1 Honors addresses the topics of NC Math 1 at a m ore comprehensive and rigorous level. Additional topics and requirements with real-world applications are included.
Math 2
NC Math 2 - 22092X0
Credit: 1 unit
NC Math 2 continues a progression of the standards established in NC Math 1. In addition, there is a focus on quadratic, square root, and inverse variation functions. NC Math 2 includes congruence and similarity of figures, right triangle trigonometry, modeling with geometry, probability, and justifying conclusions.
NC Math 2 Honors - 22095X0
Credit: 1 unit
NC Math 2 Honors addresses the topics of NC Math 2 at a more comprehensive and rigorous level. Additional topics and requirements with real-world applications are included.
Math 3
NC Math 3 - 23092X0
Credit: 1 unit
NC Math 3 progresses from the standards learned in NC Math 1 and NC Math 2. In addition to these standards, NC Math 3 focuses on exponential, logarithmic, rational, polynomial, absolute value, and trigonometric functions. This extends to include algebraic concepts such as the complex number system, trigonometric functions and the unit circle. NC Math 3 also includes the geometric concepts of radians, angles, segments, and random sampling.
NC Math 3 Honors - 23095X0
Credit: 1 unit
NC Math 3 Honors addresses the topics of NC Math 3 at a more comprehensive and rigorous level. Additional topics and requirements with real-world applications are included.
Fourth Math Options
NC Math 4 - 24092X0
Credit: 1 unit
Prerequisite: NC Math 3
NC Math 4 focuses on functions and statistical thinking, continuing the study of algebra, functions, trigonometry and statistical concepts previously experienced in NC Math 1-3. The course is designed to be a capstone to introductory statistical concepts. Additionally, the course intentionally integrates concepts from algebra and functions to demonstrate the close relationship between algebraic reasoning as applied to the characteristics and behaviors of more complex functions. In many cases, undergraduate students majoring in non- STEM fields will take an entry-level Algebra or Introductory Statistics course. Students will be prepared for college level algebra and statistics or as a bridge to prepare students for Precalculus or other advanced math courses.
NC Math 4 Honors - 24095X0
Credit: 1 unit
Prerequisite: NC Math 3
NC Math 4 Honors addresses the topics of NC Math 4 at a more comprehensive and rigorous level. Additional topics and requirements with real-world applications are included.
Pre-Calculus Honors - 24035X0
Credit: 1 unit
Prerequisite: NC Math 3
Precalculus will build upon the study of algebra, functions, and trigonometry experienced in previous high school mathematics courses. This course will build on students’ algebraic skills and understanding of functions to delve into real world phenomena and to deepen
understanding of the functions in the course. This course is designed for students pursuing careers in STEM-related fields. Students will be prepared for Calculus, AP Calculus and any entry- level college course.
AP Pre-Calculus - 2A047X0
Credit: 1 unit
Prerequisite: NC Math 3 Honors
In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to
observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an ever-changing world. This course prepares students for calculus and prepares students to succeed in both STEM and no-STEM majors. At the completion of the course, students take the Advanced Placement Exam and may receive college credit based upon their scores and the requirements of the college of their choice.
AP Calculus (AB and BC) - 2A007X0 and 2A017X0
Credit: 1 unit each course
Prerequisite: Pre-Calculus
AP Calculus follows the College Board Curriculum to develop the students’ understanding of the concepts of calculus (functions, graphs, limits, derivatives, and integrals) and provides experiences with its methods and applications. These courses encourage the geometric,
numerical, analytical, and verbal expressions of concepts, results, and problems. Appropriate technology, from manipulatives to calculators and application software, will be used regularly for instruction and assessment. At the completion of the course, students take the Advanced Placement Exam and may receive college credit based upon their scores and the requirements of the college of their choice.
AP Statistics - 2A037X0
Credit: 1 unit
Prerequisite: NC Math 3
AP Statistics, which follows the College Board Curriculum, introduces students to the major statistical concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will observe patterns and departures from patterns, decide what and how to measure,
produce models using probability and simulation, and confirm models. Appropriate technology, from manipulatives to calculators and application software, will be used regularly for instruction and assessment. At the completion of the course, students take the Advanced Placement Exam and may receive college credit based upon their scores and the requirements of the college of their choice.
Math Electives
Foundations of NC Math 1 - 20902X0
Credit: 1 unit
Prerequisite: None
Foundations of NC Math 1 is a continuation of the mathematical skills and concepts studied in middle school. This course is intended for students who need a stronger, slower mathematical foundation before enrolling in NC Math 1. There will be an emphasis on developing concepts in algebra, functions and numbers and operations.
Foundations of NC Math 2 - 20912X0
Credit: 1 unit
Prerequisite: NC Math 1
Foundations of NC Math 2 is a continuation of the mathematical skills and concepts studied in NC Math 1. This course is intended for students who need a stronger, slower mathematical foundation before enrolling in NC Math 2. There will be an emphasis on developing concepts in algebra, geometry and statistics.
Alternative Mathematics I - 20402X0
Credit: 1 unit
Prerequisite: None
Alternative Mathematics I provides learners an opportunity to apply mathematics concepts and skills from earlier high school mathematics courses in practical situation while focusing on learning skills associated with information and communication technology.
Alternative Mathematics II - 20412X0
Credit: 1 unit
Prerequisite: Alternative Mathematics I
Alternative Mathematics II provides learners an opportunity to apply mathematics concepts and skills from earlier high school mathematics courses in practical situation while focusing on learning skills associated with information and communication technology.
CCRG Math - 20132X0
Credit: 1 unit
Prerequisite: None
The State Board of Community Colleges (SBCC) in consultation with the State Board of Education (SBOE) developed a program that introduces the college developmental math curriculum in high school. High school students that are not career and college ready by the end of their junior year, will have opportunities for college remediation prior to high school
graduation through cooperation with community college partners.
IB Math Options (CRHS Only)
IB Math: Analysis & Approaches SL YR1 - 2I068X0A
Credit: 1 unit
Prerequisite: NC Math 3 Honors (by end of the 10th Grade)
IB Math: Analysis and Approach YR2 - 2I068X0B
Credit: 1 unit
Prerequisite: IB Math: Analysis & Approaches SL YR1
The IB DP Mathematics: analysis and approaches course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. The focus is on developing important mathematical concepts in a comprehensible, coherent and rigorous way, achieved by a carefully balanced approach. Students are encouraged to apply their mathematical knowledge to solve abstract problems as well as those set in a variety of meaningful contexts. Mathematics: analysis and approaches has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Throughout the course students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas.
IB Math: Applications & Interpret SL YR1 - 21088X0A
Credit: 1 unit
Prerequisite: NC Math 3 Honors (by end of the 10th Grade)
IB Math: Applications & Interpret SL YR2 - 21088X0B
Credit: 1 unit
Prerequisite: IB Math: Applications & Interpret SL YR1
The IB DP Mathematics: applications and interpretation course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. Students are encouraged to solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations.