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Course Descriptions



3101-3102 integrated mathematics 1, 2

    • Prerequisite: None.
    • Integrated mathematics 1, 2 is a course designed to help students acquire basic knowledge and understanding of the concepts and skills within major divisions of mathematics: arithmetic, measurement, geometry, algebra, problem solving, probability, statistics, and logic. Upon successful completion of this course, students typically enroll in 3121 algebra 1, 2.

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    3301-3302 career mathematics
    • Prerequisite: 11th and 12th graders who have passed a second year algebra course.
    • Career mathematics is a consumer and career oriented course with emphases on measurement, descriptive geometry, essential formulas for solving practical problems, money management and income tax forms.

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    3111-3112 algebra 1x, 2x
    • Prerequisite: Completion of Integrated Mathematics 1,2 or teacher recommendation.
    • Students study, but at a more relaxed pace and with less rigor, most of the concepts of 3121/3122 Algebra 1, 2. Topics include open sentences, systems of equations, graphing of linear functions, polynomials, factoring, algebraic fractions, exponents, radicals, quadratic conditions, and computer and calculator activities. Upon successful completion of this course, students typically elect 3211/3212 geometery 1x, 2x.

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    3121-3122 algebra 1,2
    • Prerequisite: Successful completion of pre-algebra; understanding of key pre-algebra concepts.
    • This is a strong first-year algebra course. Algebra 1,2 begins with the development of the real number system and operations on the real numbers. Topics include open sentences in one and two variables, systems of equations, graphing of linear functions, polynomials, factoring, algebraic fractions, exponents, radicals, quadratic conditions, and computer and calculator activities. Upon successful completion of this course, students typically elect 3221-3222 geometry 1,2.


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    3211-3212 geometry 1x, 2x
    • Prerequisite: Successful completion of first-year algebra
    • This course deals with, but at a more relaxed pace, most of the content included in 3221-3222 geometry 1,2. Additional instructional time is allocated for key concepts. The course integrates plane geometry and solid geometry, introduces logic and trigonometry, strengthens algebra skills, and infuses computer applications. Upon successful completion of this course, students typically elect 3311-3312 algebra 3x, 4x.


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    3311-3312 algebra 3x, 4x
    • Prerequisite: Successful completion of a one-year geometry course.
    • This second-year algebra course includes, with less rigor and at a more relaxed pace, most of the content in 3321-3322 algebra 3, 4. Topics include number systems, linear sentences, polynomials, rational expressions, systems of sentences; functions; coordinate geometry; exponents; logarithms; trigonometry; conic sections; graphing calculator; and some theory of equations, sequences, probability, and statistics. Upon successful completion of this course most students are prepared to take 3411-3412 math analysis.


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    3271-3272 advanced mathematics 1,2
    • Prerequisite: Successful completion of algebra 3x,4x or algebra 3,4
    • Advanced Mathematics bridges the gap between the second year algebra courses and precalculus or Analysis. Calculators and computer technology are employed throughout the course. Course topics include coordinate geometry, conics, inequalities, functions, sequences and series, theory of equations, trigonometry, logorithms, complex numbers, probability, and matrices. Topics previously covered in second year algebra are presented in greater depth and breadth.


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    3221-3222 geometry 1, 2
    • Prerequisite: Successful completion of a first-year algebra course (typically algebra 3121/3122).
    • This course integrates the basic concepts of plane and solid geometry, introduces logic and trigonometry, and strengthens algebra skills. Relevant computer applications are integrated into the course. Upon successful completion of the course, students typically elect 332100 algebra 3, 4.


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    3321-3322 algebra 3, 4
    • Prerequisite: Successful completion of a year of geometry (typically geometry 322100) and a year of algebra (typically algebra 3121-3122).
    • This is an advanced algebra course which includes number systems, review of linear sentences, polynomials, rational expressions; systems of sentences, introduction to functions, coordinate geometry, exponents; logarithms, trigonometry, conic sections; graphing calculator; and some theory of equations, sequences, probability, and statistics. Upon successful completion of this course, students typically elect 3411-3412 math analysis 1, 2.


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    3411-3412 analysis 1, 2
    • Prerequisite: Successful completion of 3321-3322 algebra 3, 4.
    • This senior course is offered to students with above average interest in mathematics who plan to study college calculus. Analysis is more theoretical than previousmathematics courses and covers logic, ordered fields, mathematics induction, the algebra and geometry of vectors, polynomial functions, complex numbers, limits, derivatives of polynomial functions, exponential and logarithmic functions, circular functions, vector trigonometry and analytic geometry. Graphing calculator programs are written each semester, building on ideas learned in previous math classes. Juniors who have taken second year algebra and plan to take calculus as seniors should take analysis 1ac , 2ac. Pioneer offers a course which combines analysis and physics. Please refer to 4441-4442 physics-analysis.


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    3231-3232 geometry 1ac, 2ac
    • Prerequisite: Successful completion of 3121-3122 algebra 1,2 in eighth grade. Transfer students must have successfully completed algebra 1, 2 is an accelerated mathematics program.
    • This course integrates the basic concepts of plane and solid geometry, introduces logic and trigonometry, and strengthens algebra skills. It is designed to include all of the topics normally taught in 3221-3222 geometry 1, 2 but in greater depth. Relevant computer activities are included in the course. Upon successful completion of this course students typically elect 3331-3332 algebra 3ac, 4ac.


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    3331-3332 algebra 3ac, 4ac
    • Prerequisite: Successful completion of 3231-3232 geometry 1ac, 2ac. Transfer students must have been in an accelerated mathematics program.
    • This course covers topics included in 3321-3322 algebra 3, 4 but more extensively and in greater depth. Graphing calculator applications are included. Upon successful completion of this course, students may elect 3411-3412 analysis 1, 2 or 3431-3432 analysis 1ap, 2ap.


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    3481-3482 calculus 1ac, 2ac
    • Prerequisite: Successful completion of 3411-3412 analysis 1, 2 or 3431-3432 analysis 1ap, 2ap.
    • This course includes topics normally taught in an integrated analytic geometry and calculus course. Students who successfully complete this course usually take the Advanced Placement Calculus AB Exam offered in May by the College Entrance Examination Board to establish college credit and/or placement.


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    3431-3432 analysis 1ac, 2ac
    • Prerequisite: Successful completion of 3331-3332 advanced algebra 3ac, 4ac.
    • This courseincludessome review of advanced algebra, graphing calculator, sequences and series, permutations, combinations, probability, matrices and determinants New topics and extensions include mathematical induction, graphing, inequalities and polynomial functions, limits and continuity, exponential functions, trigonometry and vectors, polar graphs, complex numbers, DeMoive's Theorem, probability, and statistics. Upon successful completion of the course, students may elect 3481-3482 calculus 1ac, 2ac.


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    3431-3432 analysis 1ap, 2ap
    • Prerequisite: Successful completion of 333100 advanced algebra 3ac, 4ac.
    • This course is intended for students wishing to enroll in an AP program. Topics are developed in greater depth and breadth than in 3411-3412 analysis 1, 2. This is a rigorous course which bridges the gap between advance algebra and calculus. Upon successful completion of the course, students may elect 3491-3492 calculus 1ap, 2ap.


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    3491-3492 calculus 1ap, 2ap
    • Prerequisite: Successful completion of 3431-3432 analysis 1ap, 2ap.
    • This rigorous course is designed to include all the topics outlined by the College Entrance Examination Board for the BC Calculus Advance Placement Examination. Students in this course may elect to take the BC Calculus Advanced Placement Examination to establish college credit and/or placement.


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    3471-3472 statistics 1ap, 2ap
    • Prerequiste: Successful completion of a second year algebra course.
    • This course will focus on gaining an understanding from data through statistical reasoning in the context of real-world problems. Students need only a working knowledge of algebra; that is they must be able to read and use formulas without a detailed explanation of each step. Students may elect this course for one semester (.5 credit) or one year (1.0 credit). Those selecting the one year option may take the AP Statistics test for college credit.


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    3361 computer math 1 (semester)
    • Prerequisite: Completion of 322100 geometry 1,2.
    • This is an introductory course designed to build on the fundamentals of computer programming in the BASIC language. The analytical thinking skills used in this course are the same as those used in developing proofs in geometry. The programs written by students will include topics in mathematics, finance, and science.


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    3362 computer math 2 (semester)
    • Prerequisite: Completion of computer math 1 or permission of the instructor.
    • This course covers advanced BASIC and includes strings and data files. The last six weeks (approximately) of the course provide an introduction to Pascal. A term paper/project may be required.


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    3461-3462 computer science 1ap, 2ap
    • Prerequisite: One year of Geometery; preferably second year Algebra. Should already be able to write programs in C/C++.
    • This course is meant to build upon the skills developing in Computer Programming. Using primarily the C++ programming language, students will undertake a rigorous exploration of the theory and associated techniques of object-oriented programming. Topics include: 1)The history and development of the object-oriented approach to computer software engineering; 2) How to utilize the object-oriented aspects of the C++ to achieve its full potential as a programming tool; 3) How C++ is related to other popular object-oriented programming languages, such as Java; 4)Future developments in object-oriented programming languages and computer programming in general.


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    3151 core mathematics 1
    • Prerequisite: Open to all ninth graders.
    • Core mathematics 1 is the first course in a four-year sequence. The units are Patterns in Data; Patterns of Change; Linear Models; Patterns in Space and Visualization; Graph Models; Simulation Models; Patterns of Location, Shape, and Size; Nonlinear Models. Upon completion of this course, students should enroll in core mathematics 2.


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    3251 core mathematics 2
    • Prerequisite: Completion of core mathematics 1.
    • Core mathematics 2 is the second course in a four-year sequence. The units are Matrix Models; Patterns of Location, Shape and Size; Patterns of Association; Power Models; Network Optimization; Geometric Form and its Function; Patterns in Chance. Upon completion of this course, students should enroll in core mathematics 3.


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    3351 core mathematics 3
    • Prerequisite: Completion of core mathematics 2.
    • Core mathematics 3 is the third course in a four-year sequence. The units are Multiple-variable Models; Patterns in Variation; Modeling Motion; Functions and Algebraic Reasoning; Shapes and Geometric Reasoning; Discrete Models of Change; Surveys and Samples. Upon completion of this course, students should enroll in core mathematics 4 or physics-analysis.


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  • 3451 core mathematics 4
    • Prerequisite: completion of core mathematics 3.
    • Core mathematics 4 is the fourth course in a four-year sequence. The units are Modeling Motion; Function Composition and Inverses; Counting and Induction; Geometry in Space(s); Polynomial and Rational Functions; Transcendental Functions; Complex Numbers; Rates of Change


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Ann Arbor Public Schools
Contact Information:
Diane Stocker-Bendersky - Webmaster
E-mail: stockerb@aaps.k12.mi.us
Phone: (734) 994-2092