Math I Honors

The focus of the foundational high school mathematics course is to increase student understanding of functions as a unifying concept in advanced mathematics. The goal is to formalize and extend prior understanding by deepening and extending student understanding of linear functions, in part by contrasting those functions with exponential and quadratic phenomena, and in part by applying linear models to data that exhibit a linear trend. In addition to studying bivariate data, students also summarize, represent, and interpret data from single measurement variables. The geometry standards in this course formalize and extend student experiences to explore more complex geometric situations and deepen their explanations of relationships, moving towards formal mathematical arguments. The Standards for Mathematical Practice apply throughout every course. Together with the content standards, these practices require that students experience mathematics as a coherent, useful, and logical subject that builds on their ability to make sense of problem situations. Students are required to take the NC End of Course Exam.

Math II Honors

Math II extends student understanding of quadratic expressions, equations, and functions. Students create and solve quadratic equations using a variety of methods. They identify zeroes of quadratics using multiple representations including graphs, tables, and factoring. The critical concept of function and the ability to analyze different representations appears in multiple contexts. Functions included are power, square root, cube root, piecewise, absolute value and simple rational. The geometric strand includes experimenting with transformations in the plane and applying geometric concepts in modeling situations. Students also define trigonometric ratios and solve problems involving right triangles. The link between probability and data is explored through independence, conditional and compound probability including their use in making models and evaluating decisions. The Mathematical Practice Standards apply throughout the course and prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

Math III Honors
Math III progresses from the standards learned in Math I and II. Students extend their understanding of polynomials by exploring the relationship between zeroes and factors. Students learn and apply the Remainder Theorem. They represent and solve equations and inequalities graphically including polynomial, rational, absolute value, exponential and logarithmic functions. Students use the unit circle to extend the trigonometric functions to all real numbers and model periodic phenomena. The geometric strand includes proving theorems about lines, angles, triangles, and parallelograms. Students explore similarity and congruence. They understand and apply theorems about circles. Students use statistical processes to make inferences and justify conclusions from sample surveys, experiments, and observational studies. The Mathematical Practice Standards apply throughout the course and prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. Students are required to take the NC End of Course Exam.

MAT 143 Quantitative Literacy
Prerequisite: Math III Honors & ACT Scores (set by AB Tech)
This course is designed to engage students in complex and realistic situations involving the mathematical phenomena of quantity, change and relationship, and uncertainty through project- and activity-based assessment. Emphasis is placed on authentic contexts which will introduce the concepts of numeracy, proportional reasoning, dimensional analysis, rates of growth, personal finance, consumer statistics, practical probabilities, and mathematics for citizenship. Upon completion, students will be consumers of quantitative information with the ability to use data to make personal, professional, and civic decisions by decoding, interpreting, using, and communicating quantitative information found in modern media and encountered in everyday life. This is a Universal General Education Transfer Component (UGETC) course that satisfies Mathematics (Quantitative) for the Associate in Arts.

MAT 152 Statistical Methods I
Prerequisite: Math III Honors & ACT Scores (set by AB Tech)
This course provides a project-based approach to introductory statistics with an emphasis on using real-world data and statistical literacy. Topics include descriptive statistics, correlation and regression, basic probability, discrete and continuous probability distributions, confidence intervals and hypothesis testing. Upon completion, students will be able to use appropriate technology to describe important characteristics of a data set, draw inferences about a population from sample data, and interpret and communicate results.

MAT 171 Pre-Calculus Algebra

Prerequisite: Math III Honors & ACT Scores (set by AB Tech)This is the first of a two-course sequence designed to develop topics which are fundamental to the study of Calculus. Emphasis is placed on solving equations and inequalities, solving systems of equations and inequalities, and analysis of functions (absolute value, radical, polynomial, rational, exponential, and logarithmic) in multiple representations. Upon completion, students will be able to select and use appropriate models and techniques for finding solutions to algebra-related problems with and without technology.

MAT 172 Pre-Calculus Trigonometry
Prerequisite: MAT 171 or ACT Scores (set by AB Tech)
This is the second of a two-course sequence designed to develop topics which are fundamental to the study of calculus. Emphasis is placed on the analysis of trigonometric functions in multiple representations, right and oblique triangle, vectors, polar coordinates, conic sections, and parametric equations. Upon completion, students should be able to select and use appropriate models and techniques for finding solutions to trigonometry-related problems with and without technology.

MAT 271 Calculus I
Prerequisite: MAT 172
This is the first of a three-course sequence designed to develop the topics of differential, integral, and multivariate calculus. Emphasis is placed on limits, continuity, derivatives and integrals of algebraic and transcendental functions of one variable. Upon completion, students will be able to select and use appropriate models and techniques for finding solutions to derivative-related problems with and without technology.

MAT 272 Calculus II
Prerequisite: MAT 271
This is the second of a three-course sequence designed to develop the topics of differential, integral, and multivariate calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, improper integrals, infinite series, conic sections, parametric equations, polar coordinates, and differential equations. Upon completion, students will be able to select and use appropriate models and techniques for finding solutions to integral-related problems with and without technology.

Martin L. Nesbitt Discovery Academy

Math

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