# Mathematics (AAF-M, E, F, M)

(Refer to the chart on Page 8 for the credit requirements and approved pathways/courses)

Calculus AB - Course #5134 | Credit (AAF-M) | Grade 10-12 | 0.5/1.0 Credits
Prerequisite: Precalculus or MATH 1050
In this course students will develop a conceptual understanding of limits, derivatives, and integrals through discovery and applications. Students will study polynomial, radical, exponential, logarithmic, and rational functions with an emphasis on graphical analysis preparatory to the study of limits. Student will compare the concept of slope with the formal definition of the derivative as well as develop and apply different techniques of integration to model and solve a variety of problems. Students will survey the basic topics of calculus and demonstrate their application in a wide variety of fields. Students will explore calculus concepts through inquiry using technology and develop explicit methods to use calculus in applications.

College Prep Math - Course #5126| Credit (AAF-M) | Grade 11, 12 | 0.5/1.0 Credits
Prerequisite: Secondary Mathematics 3
This course formalizes and reinforces concepts from the Secondary Mathematics series to provide students with the foundational skills and understanding prerequisite to College Algebra (MATH 1050). Students will reason abstractly and quantitatively while solving linear and quadratic equations and linear inequalities. They will efficiently use polynomial and rational expressions and functions, radicals and complex numbers, and exponential and logarithmic expressions and functions to model and solve mathematical problems. They will explore conic sections and represent parabolic data.

Introductory Statistics - Course #5141 | Credit (AAF-M) | Grade 11, 12 | 0.5/1.0 Credits
Prerequisite: Secondary Mathematics 2
An introductory, non-calculus based course which exposes the students to the major concepts and tools for descriptive and inferential statistics. The course includes collecting, analyzing, characterizing and drawing conclusions from data. Studies will be planned and executed using double-blind, matched pairs and blocking designs. Probability will be covered in detail and its fundamental importance to statistics will be emphasized. Inferential statistics will be introduced in context of real-life applications from medicine, manufacturing, sports performance, politics, business, health and physical science. The use of the statistical capabilities of graphing calculators will be taught.

Mathematical Decision Making for Life - Course #5124 | Credit (AAF-M) | Grade 11, 12 | 0.5/1.0 Credits
Prerequisite: Secondary Mathematics 2
This course includes mathematical decision making in finance, modeling, probability and statistics. Throughout the course, students will make sense of authentic problems and persevere in solving them. They will reason abstractly and quantitatively while communicating mathematics to others. Students will use appropriate tools, including technology, to model mathematics. They will use structure and regularity of reasoning to describe mathematical situations and solve problems.

Mathematics Lab - Course #5174 | Credit (E) | Grade 10-12 | 0.5/1.0 Credits
A course designed to give students additional time for math work as well as re-teaching of concepts to help students be successful in their core math course. Students will receive a pass/fail grade.

Mathematics of Personal Finance - Course #5127 | Credit (F, AAF-M) | Grade 11, 12 | 0.5/1.0 Credits
Prerequisite: Secondary Mathematics 2
Mathematics of Personal and Business Finance will help students compute and make reasonable estimates, perform operations with real numbers, and identify meanings of variables in financial formulas. Students will collect and organize data in graphs of all kinds, calculate mean, median, mode and range, and use spreadsheets to evaluate data. Students who complete the entire course can fulfill the General Financial Literacy graduation requirement. They can be awarded .5 Financial Literacy credit and/or .5 AAF-Math credit instead of 1.0 AAF-Math.

Modern Mathematics - Course #5125 | Credit (AAF-M) | Grade 11, 12 | 0.5/1.0 Credits
Prerequisite: Secondary Mathematics 2
This course introduces students to topics in modern mathematics as they apply to real-world contexts. The course extends students’ understanding of the mathematics developed in Secondary Mathematics 1 and Secondary Mathematics 2. The course is intended to help students develop an understanding of how mathematics describes and explains the world in which they live. Students will extend their mathematical literacy, problem-solving skills, and enthusiasm for the power and beauty of mathematics as a tool for quantifying their world.

Precalculus - Course #5131 | Credit (AAF-M) | Grade 10-12 | 1.0 Credits
Prerequisite: Secondary Mathematics 3
Students will expand their knowledge of quadratic, exponential, and logarithmic functions to include power, polynomial, rational, piecewise, and trigonometric functions. Students will investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use graphing calculators and mathematical software to build understanding, make connections between functions, sequences, and series. Students will analyze bivariate data and data distributions. Students will apply mathematical skills and make meaningful connections to life’s experiences.

Secondary Mathematics 1 - Course #5300 | Credit (M) | Grade 10 | 1.0 Credits
Students in Secondary Mathematics 1 will deepen and extend their understanding of linear relationships, in part by contrasting them with exponential phenomenon, and in part by applying linear models to data that exhibit a linear trend. Students will use properties and theorems involving congruent figures to deepen and extend their understanding of geometric knowledge. Algebraic and geometric ideas are tied together. Students will experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problems situations.

Secondary Mathematics 2 - Course #5310 | Credit (M) | Grade 10, 11 | 1.0 Credits
Prerequisite: Secondary Mathematics 1
Students in Secondary Mathematics 2 will focus on quadratic expressions, equations, and functions, extend the set of rational numbers to the set of complex numbers, link probability and data through conditional probability and counting methods, study similarity and right triangle trigonometry, and study circles with their quadratic algebraic representations.

Secondary Mathematics 2 H - Course #5311 | Credit (M) | Grade 10, 11 | 1.0 Credits
Prerequisite: Secondary Mathematics 1 or Secondary Mathematics 1 Honors
Students in Secondary Mathematics 2 Honors will focus on quadratic expressions, equations, and functions, extend the set of rational numbers to the set of complex numbers, link probability and data through conditional probability and counting methods, study similarity and right triangle trigonometry, and study circles with their quadratic algebraic representations. Honors students will also represent complex numbers and their operations on the complex plane, solve systems of equations, prove and apply trigonometric identities, and express conic sections algebraically.

Secondary Mathematics 3 - Course #5320 | Credit (M) | Grade 10-12 | 1.0 Credits
Prerequisite: Secondary Mathematics 2
Students in Secondary Mathematics 3 will pull together and apply the accumulation of learning they have from previous courses. They will apply methods from probability and statistics to draw inferences and conclusions from data, expand their repertoire of functions to include polynomial, rational, and radical functions, expand their study of trigonometry to include general triangles, and use functions and geometry to create models and solve contextual problems.

Secondary Mathematics 3 H - Course #5321 | Credit (M) | Grade 10-12 | 1.0 Credits
Prerequisite: Secondary Mathematics 2 or Secondary Mathematics 2 Honors
Students in Secondary Mathematics 3 Honors will pull together and apply the accumulation of learning they have from previous courses. They will apply methods from probability and statistics to draw inferences and conclusions from data, expand their repertoire of functions to include polynomial, rational, and radical functions, expand their study of trigonometry to include general triangles, and use functions and geometry to create models and solve contextual problems. Honors students will also use logarithmic and trigonometric functions, build functions from existing functions, extend the domain of trigonometric functions using the unit circle, and prove trigonometric identities. Students completing Secondary Mathematics 1, 2, and 3 are prepared for Calculus.

Supplemental Math 2 - Course #5331 | Credit (E) | Grade 10, 11 | 0.5/1.0 Credits
This course is for students in Secondary Math 2 who need extra help in their core math course. The course will review key concepts that are necessary for the students to be successful in their core class.

Supplemental Math 3 - Course #5332 | Credit (E) | Grade 10-12 | 0.5/1.0 Credits
This course is for students in Secondary Math 3 who need extra help in their core math course. The course will review key concepts that are necessary for the students to be successful in their core class.

Calculus AB AP - Course #5331 | Credit (M) | Grade 10-12 | 1.0 Credits
Prerequisite: Mastery of Precalculus or Secondary Mathematics 3 Honors
This is an introduction to differential and integral calculus topics which are equivalent to a college level Calculus 1 course. The course uses advanced skills in algebra, geometry, and trigonometry to analyze real world problems involving movement and variable rates of change. Graphing calculator investigations are an integral part of the course and the Advanced Placement (AP) exam. University credit can be earned with a successful performance on the (AP) exam.

Calculus BC AP - Course #5136 | Credit (M) | Grade 10-12 | 1.0 Credits
Prerequisite: Calculus AB
This course teaches the extension of the differential and integral calculus topics of Calculus AB, which are equivalent to two semesters of college level Calculus 1 and 2 courses. The course uses advanced skills in algebra, geometry, and trigonometry to analyze real world problems involving movement and variable rates of change. This course focuses on the application of calculus using vectors, parametric/polar modeling, and power series. Graphing calculator investigations are an integral part of the course and the Advanced Placement exam. University credit can be earned with a successful performance on the Advanced Placement (AP) exam.

Statistics AP - Course #5140 | Credit (M) | Grade 11, 12 | 1.0 Credits
Prerequisite: Secondary Mathematics 3
An introductory, non-calculus based college level course which introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data, including exploring data, statistical inference, planning a study, and using probability and simulation to anticipate patterns. Graphing calculators with statistical capabilities are an integral part of the course and of the Advanced Placement (AP) exam. University credit can be earned with a successful performance on the (AP) exam.

LEGEND (Credit)

A = Fine Arts
AAF-M = Applied, Advanced Foundation Math
AAF-S = Applied, Advanced Foundation Science
BS = Biological Science
CS = Chemistry Science
DS = Digital Studies
CTE = Career and Technical Education
E = Electives
ES = Earth Science
F = Financial Literacy
WG = World Geography
HE = Health Education