Courses

FOUNDATIONS FOR PROFICIENCY
Students who take this course will understand that arithmetic skills provide a gateway to advanced mathematics. As they become proficient with skills involving rational numbers, they will also learn how mathematical models and reasoning relate to situations outside of the classroom. At the successful conclusion of this course, a student will be prepared for Mathematics 1 (Algebra modeling, Statistics, and Geometry). Recommended Prep: Completion of Grade 8 Math and teacher recommendation.

MATH 1 LEVEL 1 (Algebra modeling, Statistics, and Geometry)
Students will develop an understanding of foundational algebraic, geometric, and statistical reasoning through examinations of applied problems. They will learn how to represent many practical circumstances with mathematics and understand connections between mathematics and their world. Additionally, they will become familiar with statistical methods used to communicate trends and patterns that they encounter. This course is the fi rst in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 1 course will be provided with the< opportunity to become profi cient with the relevant Plus Common Core State Standards in Math. Recommended Prep: Minimum grade of B Grade 8 Math.

MATH 1 LEVEL 2  (Algebra modeling, Statistics, and Geometry)
Students will develop an understanding of foundational algebraic, geometric, and statistical reasoning through examinations of applied problems. They will learn how to represent many practical circumstances with mathematics and understand connections between mathematics and their world. Additionally, they will become familiar with statistical methods used to communicate trends and patterns that they encounter. This course is the fi rst in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 2 course have extra time to become profi cient with the curriculum because it meets every day. Students in this level 2 course will be provided with the opportunity for extra time to become profi cient with the curriculum. In addition to learning the mathematical content, students who enroll in this level 2 course will work to further develop their executive functioning skills. Recommended Prep: Satisfactory completion of Grade 8 Math and teacher recommendation.

MATH 2 LEVEL 1  ( Solutions, Statistics, and Geometry)
Students will be solving linear, quadratic, polynomial, exponential equations and inequalities (where appropriate). Additionally, students will learn how to create good surveys, collect valid data and continue their study of geometry. This course is the second in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 1 course will be provided with the opportunity to become profi cient with the relevant Plus Common Core State Standards in Math. Recommended Prep: Minimum grade of B Math 1 Level 1.

MATH 2 LEVEL 2  (Algebraic Solutions, Statistics, and Geometry)
Students will be solving linear, quadratic, polynomial, exponential equations and inequalities (where appropriate). Additionally, students will learn how to create good surveys, collect valid data and continue their study of geometry. This course is the second in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 2 course will be provided with the opportunity for extra time to become profi cient with the curriculum. In addition to learning the mathematical content, students who enroll in this level 2 course will work to further develop their executive functioning skills. Recommended Prep: Satisfactory completion of Math 1 and teacher recommendation.

MATH 3 LEVEL 1  (Algebraic Applications, Statistics, and Geometry)
Students will be building on their mathematical learning by interpreting and analyzing a variety of equations and inequalities with a focus on trigonometry. Theorems and construction will be the main geometric themes as students learn about similarity, congruence, and transformations. Additionally, students will explore the ideas of independence and conditional probability. This course is the third in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 1 course will be provided with the opportunity to become profi cient with the relevant Plus Common Core State Standards in Math. Recommended Prep: Minimum grade of B in Math 2 Level 1

MATH 3 LEVEL 2  (Algebraic Applications, Statistics, and Geometry)
Students will be building on their mathematical learning by interpreting and analyzing a variety of equations and inequalities with a focus on trigonometry. Theorems and construction will be the main geometric themes as students learn about similarity, congruence, and transformations. Additionally, students will explore the ideas of independence and conditional probability. This course is the third in a series of three. It will prepare students for their postsecondary plans as stated in the College and Career Readiness Standards. Students in this level 2 course will be provided with the opportunity for extra time to become profi cient with the curriculum. In addition to learning the mathematical content, students who enroll in this level 2 course will work to further develop their executive functioning skills. Recommended Prep: Satisfactory completion of Math 2 and teacher recommendation.

MATH LAB 1
Students who take this course focus on content mastery of learning targets defined by their parallel math course. This course is structured through selfassessment, additional varied resources, and preteaching of future content standards. This course is not a study hall. Students also focus on the development of their executive functioning skills. Students will be assessed on their profi ciency in communication, problem solving and selfdirection aligned with the South Burlington High School graduation standards. This course is cotaught with a math teacher and special educator to support students in mastery of content and executive functioning skills.

MATH LAB 2
Students who take this course focus on content mastery of learning 18 targets defined by their parallel math course. This course is structured through selfassessment, additional varied resources, and preteaching of future content standards. This course is not a study hall. Students also focus on the development of their executive functioning skills. Students will be assessed on their profi ciency in communication, problem solving and selfdirection aligned with the South Burlington High School graduation standards. This course is cotaught with a math teacher and special educator to support students in mastery of content and executive functioning skills. Math Lab 2 is assessed on a Pass/Fail basis.

MATH LAB 3
Students who take this course focus on content mastery of learning targets defi ned by their parallel math course. This course is structured through self assessment, additional varied resources, and preteaching of future content standards. This course is not a study hall. Students also focus on the development of their executive functioning skills. Students will be assessed on their profi ciency in communication, problem solving and self direction aligned with the South Burlington High School graduation standards. This course is cotaught with a math teacher and special educator to support students in mastery of content and executive functioning skills. Math Lab 1 is assessed on a Pass/Fail basis.
PROBABILITY AND STATISTICSStudents will learn how to sift through raw data and make informed decisions about the world around them. While the course does follow the course of studies recommended by the College Board (exploratory analysis, planning and conducting a study, probability and statistical inference) the pace is more moderate than that of the AP class and does not include AP specifi c topics. In order to better their understanding, students will also learn to use the TI83 Plus graphing calculator and Fathom statistical analysis software. Recommended Prep: Minimum C in Algebra II. This course option is available to both juniors and seniors.

ADVANCED PLACEMENT STATISTICS
This largely projectbased course emphasizes crafting thoughtful, contextual narrative in response to the problems encountered as well as using the tools and techniques of data analysis. The AP Statistics course follows the College Board Advanced Placement curriculum, divided into four major themes: exploratory analysis, planning and conducting a study, probability, and statistical inference. Students will explore each of these areas in depth. Technology will be an integral part of the course with students using graphing calculators and statistical analysis software, specifi cally Fathom, on a regular basis. Recommended Prep: Minimum B in Algebra II 451. (It is very strongly recommended that studentsenrolled in Advanced Placement courses take the Advanced Placement exam.)

ADVANCED PLACEMENT CALCULUS (AB)
Calculus AB follows the College Board Advanced Placement course curriculum, spending equal time on differentiation and integration. The course emphasizes a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. Students enrolled in AP Calculus AB will be expected to complete a summer assignment. Recommended Prep: Minimum B in PreCalculus 460 and teacher recommendation. (It is very strongly recommended that students enrolled in Advanced Placement courses take the Advanced Placement exam.)

CALCULUS LEVEL I
This course is offered to the capable mathematics student who does not require the accelerated pace and theoretical aspects of Calculus 470. The course is founded upon the idea that the limit is the cornerstone of calculus. With this important idea, we establish that differentiable functions are locally linear. The course focuses on the shapes of functions. Through differentiation we explore rates of change, and through integration we explore displacement. In both cases the course applies these concepts to mathematical models of the physical world. Graphing calculators are used in this course. Recommended Prep: Minimum B in PreCalculus 461.

ADVANCED PLACEMENT CALCULUS (BC)
Calculus BC follows the College Board Advanced Placement course curriculum. It covers all topics covered in AP Calculus AB in addition to those found in a secondyear calculus course. This is a fastpaced, highly rigorous course. In addition to daily homework, there are weekly longterm assignments. All students enrolled in AP Calculus BC will be expected to complete a summer assignment which covers the first chapter of the textbook. The course emphasizes a multirepresentational approach to calculus with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The TI89 graphing calculator is used in this course. Recommended Prep: Minimum A in PreCalculus 460 and teacher recommendation. (It is very strongly recommended that students enrolled in Advanced Placement courses take the Advanced Placement exam