UPDATED: 1/31/2013 MATHEMATICS COURSE PROGRESSIONS The Mathematics Department seeks to serve students by assisting each student in developing the knowledge and skills he or she will find useful in further courses of study or in real life situations. Most freshman enter this progression at the Algebra I level. Students that have not previously taken honors math courses may enter the honors math program through an application process. The Standards for Mathematical Practices from the Common Core:
NOTES: Honors courses are available in Geometry, Algebra 2, Precalculus and Calculus. Students need the approval of the mathematics department to enroll in honors courses.
COURSES MATH LAB Open to: 912 Credit: 0 The Math Lab is a supported study hall for any student enrolled in a math class. Students will receive support for their math class, including reviewing prerequisite skills, reteaching new concepts, and assistance on homework. Students in enrolled in the Math Lab are expected to use study hall time to complete their math homework and have the Math Lab supervisor check their work before moving on to homework for other courses. In addition, students may use the Math Lab to practice for the PSAT, SAT, or the Accuplacer Exam. Elective credit can be attained for students who go above and beyond the requirements for their math course. ACADEMIC DEVELOPMENT Open to: 9 Credit: Up to 2 credits Prerequisite: Recommendation by teacher  see criteria for recommendation (below) Academic Development is a fullyear course designed to improve specific academic skills and support firstyear students as they transition into the high school learning environment. The class will focus on reading, writing, and mathematics, with onehalf of the time being devoted to building basic (algebra readiness) mathematics skills, and the other half aimed at improving reading and writing skills. Study skills relating to success in all academic subjects will also be taught. Some of the work completed in this class will support the 9thgrade English/Social Studies curriculum. Academic Development class will be team taught. It will replace the Foundations of Applied Math class as well as Resource Study Hall, where appropriate. Students will earn elective credit and the grade will be P/F. Eligible students will meet at least two of the following criteria:
Common Core State Standards are from the 58 grade strand ESSENTIAL ALGEBRA Open to: 9, 10 Credit: 1 Prerequisite: Completion of Academic Development or recommendation of 8th grade teacher In this course, students will focus on the essential skills needed to be successful in Algebra 1. The course will begin by building on number sense, computation skills and reviewing prealgebra skills. Once students are proficient in these prerequisite skills, they will advance to the Algebra 1 standards listed below. Student progress will be assessed from class participation, assignments, classroom activities, common assessments, notebooks, quizzes and tests. Students will examine the question, “How can we describe phenomena using algebraic models?” Upon successful completion of this course all students will meet the essential standards for Algebra 1. Some students may continue on to Algebra 1, Part 2; however, most students will continue to Applied Geometry and Math 11/12 to meet the graduation requirement for mathematics. Essential Standards:
Credit: 1 Open to: 9, 10, 11 Prerequisite: Recommendation of eighth grade math teacher or successful completion of Academic Development. In Algebra 1  Part 1 and Part 2, students will learn Algebra 1 concepts. This twopart Algebra course is divided into two credits and is studied over two semesters so that students have more opportunities to do “hands on” activities, to review previous math topics, to practice new skills and to allow for spiraling of new concepts. In Part 1, students will learn about variables, applying formulas, solving word problems with variables, solving linear equations, graphing linear equations with 2 variables and probability. Student progress will be assessed from class participation, assignments, classroom activities, common assessments, notebooks, quizzes and tests. Students will examine the question, “How can we describe phenomena using algebraic models?” Students will frequently be required to complete assignments outside of class time. After completion of Algebra 1Part 1, students will need to complete their algebra 1 study with Algebra 1Part2. The curriculum and instructional materials used in Algebra 1Part 1 and Part 2 are the same as those used in Algebra 1. Essential Standards:
ALGEBRA I  PART II Credit: 1 Open to: 9, 10, 11 Prerequisite: Successful completion of Algebra 1  Part 1 or approval of the Learning Area Leader Students in Algebra 1Part 2 will continue the study of Algebra 1 concepts that they started in Algebra 1Part 1. They will explore these concepts through both “hands on” activities and traditional exercises. They will learn more about solving linear equations, graphing linear relationships, inequalities, systems of equations, exponents and powers, exponential equations, square roots and quadratic equations, polynomials, factoring and functions. Student progress will be assessed from class participation, assignments, classroom activities, common assessments, notebooks, quizzes and tests. Students will examine the question, “How can we describe phenomena using algebraic models?” Students will frequently be required to complete assignments outside of class time. After completion of Algebra 1Part 2, students will be prepared to take Geometry or Applied Geometry. Essential Standards:
ALGEBRA I Credit: 1 Open to: 9, 10 Prerequisite: Recommendation of 8th grade math teacher In this course students will learn to solve problems with one and two variables, to solve equations with the variables raised to the first or second power, to graph equations and inequalities and to do some probability problems. Students will be required to use algebraic symbols and formulas to carry out operations on equations for solving problems on daily homework assignments. The question, “How can phenomena be described algebraically?” will be explored. Student progress will be assessed by tests, quizzes, projects, common assessments, class participation and assignments. Students should expect to have out of class assignments frequently. Students satisfactorily completing Algebra 1 should be academically prepared to successfully complete Geometry and Algebra 2. Essential Standards:
ACCELERATED ALGEBRA I Credit: 1 Open to: 9 Prerequisite: Substantial exposure to Algebra 1 in 8th grade, but not enough to qualify for Honors Geometry and recommendation of 8th grade math teacher Students enrolled in this course will learn algebra in greater depth than in the regular Algebra I course. In this course students will learn to solve problems with one and two variables, solve equations with the variables raised to the first or second power, and to graph linear and quadratic equations and inequalities. Students will also do some probability problems. Students will be required to use algebraic symbols and formulas to carry out operations on equations for solving problems on daily homework assignments. In this class, students will explore the question, “How is algebra used to model phenomena?” Student progress will be assessed by tests, quizzes, projects, common assessments, class participation and daily assignments. Students should anticipate out of class assignments on most days. Students successfully completing Accelerated Algebra 1 should be academically prepared to successfully complete Geometry and Algebra 2. Some students completing this course may be advised to apply for admission to Honors Geometry and Honors Algebra 2. Essential Standards:
GEOMETRY Credit: 1 Open to: 10, 11, 12 Prerequisite: Algebra 1 or Algebra 1Part 2 In this geometry course, students learn using a discovery approach, which encourages them to identify the properties of geometry by observing, investigating and forming their own conclusions. Concepts are first introduced visually, then inductively. Some of the work in class is done in cooperative groups. The question, “How are patterns used to discover properties of geometry?” is central to the course. Students in this course are required to have a compass, straightedge, protractor and scientific calculator. In addition to using these traditional tools, students will explore geometric ideas using the computer program, Geometer’s Sketchpad. Students will learn about inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, networks, congruence, similarity and trigonometric relationships. Student progress will be assessed through daily assignments, quizzes, tests, projects, inclass group work, common assessments and class participation. Student notebooks are necessary in this class for recording definitions, results of investigations and conjectures. Students completing this course should plan to take Algebra 2. Essential Standards:
APPLIED GEOMETRY Credit: 1 Open to: 10, 11, 12 Prerequisite: Algebra 1  Part 2 In this geometry course students will study geometry at a slower pace to completely understand complex concepts. Students will learn in a discovery approach, identifying the properties of geometry by observing, investigating and forming their own conclusions. Much of the work in class is “hands on”; some work is done in cooperative groups. The question, “How are patterns used to discover properties of geometry?” is central to the course. Students in this course are required to have a compass, straightedge protractor and a scientific calculator. In addition to using these traditional tools, students will sometimes explore geometric ideas using the computer program, Geometer’s Sketchpad. Students will learn about inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, congruence, similarity and trigonometric relationships. The class indicators of progress will be daily assignments, quizzes, tests, projects, inclass group work, common assessments and class participation. Student notebooks are necessary in this class for recording definitions, conjectures and class notes. Students completing this course may choose to take Algebra 2. Essential Standards:
HONORS GEOMETRY Credit: 1 Open to: 9, 10 Prerequisite: Formal application and acceptance to this course is required. Students eligible for application include those who have completed Accelerated Algebra I with a grade of B or higher, Algebra 1 with a grade of A or higher and satisfactory completion of an entrance exam, or with a score of 80% or higher on Form 9 placement test and recommendation by the 8th grade teacher. (A student who took Algebra I in the 8th grade and who does not meet the prerequisites for this class will be advised to take Accelerated Algebra I.) Modeling with Geometry: Students in this course will learn definitions, theorems and postulates associated with geometric figures in one, two, and three dimensions. They will develop and apply formulas involving size and shape of geometric figures and right triangle trigonometry. Students will be required to prove theorems, construct various geometric figures and solve algebraically for the numerical solutions to problems involving measurements of polygons. Students will also investigate geometry concepts using the Geometer’s Sketchpad software package. Students explore the question, “How can geometric concepts help us describe and explain real phenomena?” The class indicators of student progress will be tests, daily assignments, class participation and common assessments. Students in this class should anticipate out of class assignments every day. At the end of this course, students will be prepared for Algebra 2. Students who meet the prerequisites for the honors program should enroll in Honors Algebra 2. Essential Standards:
Open to: 11, 12 Credit: 1 Prerequisite: Completion of an Algebra 1 Course (Essential Algebra 1, Algebra 1 Part 1 or Algebra 1) and Geometry This course is designed for older students who need a third math credit. In this course, students will continue to work on their algebra skills, covering topics such as solving and graphing linear inequalities, systems of equations, exponential growth and decay, variation, and probability and statistics. In addition, students will be given practice on arithmetic and other skills needed to be successful on the Accuplacer Exam, a college placement exam used by many community colleges. Experiential learning may provide an introduction to personal banking and how math is used in local professions. Essential standards for this course are the same as for Algebra 1, but students will look at more complex problems relating to these standards. Essential Standards:
Credit: 1 Open to: 10, 11, 12 Prerequisite: Algebra I with a grade of C or above recommended and Geometry In Algebra II, students will learn about direct and indirect variations, linear programming, systems of equations, matrices, functions (linear, quadratic and exponential), exponents and radicals, statistics, and trigonometry. Throughout the course, students will be using problemsolving, reasoning and communication skills. Scientific calculators are required and graphing calculators are occasionally used. Students will ask, “How can real life phenomena be modeled algebraically?” Progress in this course will be assessed through assignments, group work, common assessments, notebooks, lab activities, quizzes, tests, and class participation. Students should expect regular, daily work, to be completed outside of class. Students successfully completing Algebra 2 will be prepared to take Probability and Statistics or AP Statistics. Essential Standards:
HONORS ALGEBRA II Credit: 1 Open to: 10, 11 Prerequisite: Honors Geometry with a grade of B or higher or Geometry with successful completion of an entrance exam and written approval of the Learning Area Leader. Formal application and acceptance to this course is required. Honors Algebra II is an honorslevel course in which students learn at a faster pace and in more depth than the regular Algebra II class. Students will study direct and indirect variations, recursive and explicit expressions, linear programming, systems of equations, matrices, functions (linear, quadratic exponential and logarithmic), exponents and radicals, statistics, and trigonometry. Problemsolving, reasoning and communication skills are emphasized throughout the course. Graphing calculators are used frequently. Students will ask, “How can real life phenomena be modeled algebraically?” Progress in this course will be assessed through assignments, group work, common assessments, lab activities, quizzes, tests and class participation. Students should anticipate daily out of class assignments. Students completing this course with a B or better will be eligible to take Honors Precalculus, Probability and Statistics or AP Statistics. Students with a lower grade will be recommended for Probability and Statistics or AP Statistics. Essential Standards:
PRECALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Algebra II Students in this course will explore topics in Advanced Algebra and Trigonometry. Topics will include the linear and quadratic functions, polynomial functions, trigonometry of triangles, graphs of trigonometric functions, trigonometric identities, exponents and logarithms. Students will ask, “How can real life phenomena be modeled algebraically?” Students will be required to solve a variety of problems in the above topics. Assessment of learning will include daily assignments, projects and tests. Many of the applications will involve the use of a TI83 or TI84 graphing calculator; the purchase of a TI83/84 is suggested, but not required. Students should anticipate frequent out of class assignments. This course is designed for students who are interested in continuing their study of mathematics. Students who successfully complete this course should be prepared for entrylevel mathematics courses at most colleges. Students may take this course concurrently with Probability and Statistics, if scheduling allows. Essential Standards:
HONORS PRECALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Honors Algebra II with a grade of B or higher or Algebra II and Geometry with grades of A or higher along with the following: completion of math honors application, satisfactory performance on algebra skills test and written approval of Learning Area Leader. Honors Precalculus is an honors level course where students study linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. These functions will be presented in a variety of ways: verbally, geometrically, numerically, and analytically. Students will learn about the properties of functions, graphs of functions and practical applications of functions. In addition, students will be introduced to limits. Other topics may be covered as time allows. Students continue to explore the question, “How can real life phenomena be modeled algebraically?” The purchase of a TI83/84 graphing calculator is highly recommended, but not required. Students will be assessed in a variety of ways including assignments, problem sets, tests, quizzes, notebooks and class participation. In all assessments, students will be expected to demonstrate their mastery of concepts mathematically and narratively. Students should expect a significant amount of work outside of class on a daily basis. Students successfully completing this course will be prepared to take Calculus. Essential Standards:
PROBABILITY AND STATISTICS Credit: 1 Open to: 11, 12 Prerequisite: Algebra II A New York Times headline reads, “For Today’s Graduate, Just One Word: Statistics”. We live in a world of digital data. The internet allows companies and organizations to constantly collect data, yet without people who are trained in analyzing and making sense of all of it, the information alone isn’t very useful. The growing consensus is that students who want an edge in the competition for top jobs need a foundation in statistics. Besides being among the most useful skills for high schoolers, data analysis is fun and interesting. Probability and Statistics is an introductory course offered to juniors and seniors who have completed Algebra II. Students study four broad conceptual themes including:
Essential Standards:
ADVANCED PLACEMENT STATISTICS Credit: 1Open to: 11, 12 Prerequisite: Algebra II Students who enroll in AP Statistics should be prepared for the rigor required to learn all of the content necessary to perform well on the AP examination and to allow time for practice for this exam. In this course, students will explore advanced topics in statistics with emphasis on the study and collection of data, and the inferences one can make from such data. Throughout the course, students will explore the questions: “Do statistics lie?”, “How do we interpret statistics to become informed citizens?” and “How is the likelihood of different events determined?” Students study four broad conceptual themes including:
Essential Standards:
HONORS CALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Honors Precalculus with a grade of B or higher or completion of math honors application or an algebra skills test and written approval of Math Learning Area Leader, if grade is below B. Students taking Calculus will continue to look at functions, and how they change, from a variety of perspectives: geometrically, verbally, numerically, and analytically. This course will cover the four basic tenets of calculus; limits, derivatives, definite integrals and indefinite integrals. “Real life” applications of calculus will be studied throughout the course. A TI83 or TI84 calculator will be required as the technology is used to reinforce concepts. Students will be assessed on tests, quizzes, daily assignments, problem sets and notebooks. Organization will be imperative. This one semester, college level calculus class will cover the content of the AP curriculum. Students who are successful in this course will be encouraged to take Advanced Placement Calculus where the emphasis will be on preparing for the AP exam in May. Essential Standards:
ADVANCED PLACEMENT CALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Honors Calculus Students who have successfully completed Honors Calculus will have the option of continuing their study of calculus and preparing to take the AP exam in May. It is important for students to realize that, after completing first semester calculus, they will have already learned the required material for the AP Calculus AB exam. This Advanced Placement course will have three main focuses: a continuation of advanced calculus topics, preparation for the AP exam and a project of the student’s own choosing. Completion of this course, along with the first calculus course will give provide students with the equivalent of a college course in calculus. Essential Standards:
