Curriculum Guide: Mathematics

  • All freshmen in High School District 211 enroll in a mathematics course. Placement at the freshman level is determined by entrance test scores and junior high school performance. A second year of mathematics is taken during the sophomore year and additional mathematics courses are required until the student successfully completes a 300-level course. Freshmen who have successfully completed junior high school algebra may be placed in M217 Plane and Solid Geometry or M218 Accelerated Plane and Solid Geometry. Other freshmen may be placed in M117 Algebra 1, M114 Algebra 1, M113 Algebra I, M111 Introduction to Secondary Mathematics, M120 Essential Mathematics, or M100 Applied Mathematics 1. A student who fails to meet the grade prerequisite for any course must repeat the requisite course to improve the grade in order to proceed to the next sequential course. College-bound students are encouraged to complete four years of mathematics, including trigonometry. The Mathematics Departments of High School District 211 provide honors and accelerated programs which allow students to complete up to three semesters of calculus leading to Advanced Placement examinations. Advanced Placement testing in computer science (JAVA) and statistics also are available.

    M100

     

     

    M100 Basic Mathematical Applications LEVEL: 1,2 One year      One unit PREREQUISITE: Placement through staff conference recommendation. This course is designed to teach students basic computational and money skills to increase the student’s independence in the community. Money skills, whole number operations, time, and calculator usage are emphasized.

    M111

     

     

    M111 Introduction to Secondary Mathematics LEVEL: 1,2 One year      One unit This course reinforces arithmetic skills, as their mastery is essential for continued study of mathematics. Pre-Algebra skills of variable recognition, signed numbers, formulas, and single variable equations are introduced as well as beginning geometry topics.

    See Critical Learning Standards

     

    M113

     

     

    M113 Algebra 1 LEVEL: 1,2,3 One year      Two units PREREQUISITE: Acceptable performance on the entrance examination or department approval This course introduces students to the fundamental principles of algebra with extended instruction and practice. Algebraic symbolism, simplifying expressions, solutions to elementary equations, and the graphic representations associated with variables will be introduced. (NCAA Core Course, 1 unit)

    See Critical Learning Standards

      M114

     

     

    M114 Algebra 1 LEVEL: 1,2,3 One year      One unit PREREQUISITE: Acceptable performance on the entrance examination or department approval. This course introduces students to the fundamental principles of algebra. Algebraic symbolism, simplifying expressions, solutions to elementary equations, and the graphic representations associated with variables will be introduced. (NCAA Core Course)

    See Critical Learning Standards  

    M117

     

     

    M117 Algebra 1 LEVEL: 1 One year      One unit PREREQUISITE: Acceptable performance on entrance examination This course introduces students to the fundamental principles of algebra. Algebraic symbolism, simplifying expressions, solutions to equations, and the graphic representations associated with variables are among the course topics. This course emphasizes the algebraic processes applied to word problems. (NCAA Core Course)

    See Critical Learning Standards M130-M6

    M147

     

     

    M147 Advanced Algebra 1 LEVEL: 1 One year      One and one-half units PREREQUISITE: Acceptable performance on entrance exam This accelerated course is a comprehensive study of algebra including algebraic symbolism, simplifying expressions, solutions to equations, and graphic representations associated with variables. The course will also include advanced techniques of graphing, solving equations and inequities, and functions in preparation for M248 Advanced Geometry and M247 Advanced Trigonometry. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M266

     

     

    M266 Applications of Computer Programming LEVEL: 2,3,4 One-half year One-half unit

    PREREQUISITE: M256 Computer Programming: A Multimedia Approach and department approval

    Through independent study, students apply their computer programming skills to complete highly individualized projects.

    (NCAA Core Course)

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    M270

     

     

    M270 Algebra and Geometry Concepts LEVEL: 2 One year One unit

    PREREQUISITE: Placement through staff conference recommendation

    This course reinforces skills needed for achieving early high school benchmarks of the Illinois Learning Standards. It introduces algebra concepts such as exponents, algebraic expressions, and graphing. Beginning plane and solid geometry topics are introduced.

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    M270

     

     

    M296 Geometry in Construction LEVEL: 2 One year      One unit PREREQUISITE: M114 or M117 The purpose of this course is to have students experience putting geometry into action by building real world construction projects. Geometry in Construction is a team taught by both math and applied Technology teachers. This interdisciplinary course integrates geometry and construction topics through the building of significant construction projects. The goal is to provide students with a better understanding of both the geometry and the construction content taught in the math department, and prepares students for the subsequent math courses. Students will gain hands-on, real-world experience in different areas of construction. Additional emphasis is given to teamwork, problem-solving, and the promotion of employable attributes. This is a double-period course that offers both a Math credit and an Applied Technology credit..  

    M308

     

     

    M308 Advanced Algebra 2 LEVEL: 2 One year One unit

    One year One unit

    PREREQUISITE: M217 with department approval

    This advanced course is designed for students who have proficient knowledge of algebra and geometry. M308 Advanced Algebra 2 will place an emphasis on questioning, summarizing, justifying, and evaluating. Ideas presented involve advanced techniques of graphing, methods of solving equations and inequalities, and functions. Students are prepared to begin their study of M408 Advanced Trigonometry/PreCalculus. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M312

     

     

    M312 Concepts in Mathematics LEVEL: 3,4 One year One unit

    PREREQUISITE: Department chair approval and two years of credit in high school mathematics

    The course exposes students to a sampling of basic mathematical topics including percent, interpretation of data, probability, tables and graphs, polynomial operations, linear and quadratic functions. This course does not meet the NCAA clearinghouse rules. Students desiring to take Trigonometry must enroll in at least M314 to satisfy the Algebra 2 prerequisite of Trigonometry.

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    M314

     

     

    M314 Algebra 2 LEVEL: 3,4 One year One unit PREREQUISITE: M214 Plane and Solid Geometry This course reviews topics introduced in M114 Algebra 1 and expands upon them. All standard Algebra 2 topics are covered. The topics include methods of solving equations and inequalities, graphing techniques, conics, and logarithms. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M317

     

     

    M317 Algebra 2 LEVEL: 2,3,4 One year One unit

    PREREQUISITE: M117 Algebra 1 (A,B,C) and M217 Plane and Solid Geometry

    This course is designed for students who have a good knowledge of algebra and geometry. Concepts presented in earlier course work are reviewed and expanded. Ideas presented involve advanced techniques of graphing, methods of solving equations and inequalities, and functions. Students are prepared to begin their study of pre-calculus. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

     

    M319

     

    M319 AP Computer Science Principles LEVEL: 1,2,3,4 One year One unit

    PREREQUISITE: Concurrent enrollment in any accelerated math course or completion of M256.

    AP Computer Science Principles offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to creative aspects of programming, using abstractions and algorithms, working with large data sets understandings of the Internet and issues of cybersecurity, and impacts of computing that affect different populations. Students will learn to use current technologies in order to solve problems and create meaningful computational artifacts. (NCAA Core Course)

      M328

     

     

    M328 Accelerated Algebra 2/Pre-Calculus LEVEL: 1,2,3 One year One unit

    PREREQUISITE: M218 (A,B) or department approval

    This accelerated course is designed for students who have an excellent knowledge of algebra and geometry. M328 Accelerated Algebra 2 briefly reviews concepts presented in earlier course work and then rigorously expands and applies them to other areas of mathematics. In addition, selected topics from pre-calculus are studied. Ideas presented in this course involve advanced techniques of graphing and solving equations and inequalities and prepares students to take M439 Trigonometry/Calculus A. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M348

     

     

    M348 Advanced Algebra 2/PreCalculus LEVEL: 3 One year One and one-half units

    PREREQUISITE: M248 (A, B, C)

    This accelerated course rigorously expands upon the study of advanced techniques of graphing, solving equations and inequalities, functions (including circular and periodic functions), and trigonometric identities. Students will apply their skills to series and sequences, probability, statistics, limits, and derivative in preparation for M459 Advanced Placement Calculus AB. This course requires a graphing calculator. (NCAA Core Course) M64802: Harper College Course MTH103, College Algebra, 3 college credit hours.

    See Critical Learning Standards  

    M359

     

     

    M359 Advanced Placement Computer Science A  LEVEL: 2,3,4 One year One unit

    PREREQUISITE: Concurrent enrollment in M328 or higher, completion of M319 or M256 (A, B, C) or department approval)

    The JAVA language allows the programmer to process data as well as perform mathematical calculations. In Advanced Placement Computer Science, data structures, programming algorithms, and structured programming are used. Students are expected to use analytical thinking in solving problems and use top-down design methods in developing programs. AP Computer Science is a strongly encouraged elective any time course prerequisites are met and can be taken in conjunction with another math class.

    (NCAA Core Course)

    See Critical Learning Standards  

     

    M370

     

    M370 Consumer Mathematics LEVEL: 3, 4 One year One unit

    PREREQUISITE: M308 with department approval

    This advanced course is designed to create a foundation of knowledge needed for success in an advanced placement math course senior year. In the study of trigonometry, the student will apply algebra and geometry skills to circular and periodic functions with applications. In the study of pre-calculus, students will apply their skills to series and sequences, probability, statistics, limits, and derivatives in preparation for M419 AP Statistics and M449 AP Calculus AB. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M408

     

     

    M408 Advanced Trigonometry and Pre-Calculus LEVEL: 3 One year One unit PREREQUISITE: M308 with department approval This advanced course is designed to create a foundation of knowledge needed for success in an advanced placement math course senior year. In the study of trigonometry, the student will apply algebra and geometry skills to circular and periodic functions with applications. In the study of pre-calculus, students will apply their skills to series and sequences, probability, statistics, limits, and derivatives in preparation for M419 AP Statistics and M449 AP Calculus AB. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards

     

    M414

     

     

    M414 Algebra 3 LEVEL: 4 One year One unit

    PREREQUISITE: M314 Algebra 2

    This computer-based course helps better prepare students for the mathematics needed for career and college by re-enforcing the fundamental concepts of algebra including rational expressions, complex numbers, and functions that are polynomial, rational, exponential or logarithmic. The class also emphasizes mathematical reasoning and problem solving utilizing multiple approaches (algebraic, geometric, and numeric techniques) with focus on mathematical definitions, theorems, symbols, and notation. This course is aligned to the last developmental course MTH080 Foundations of Math II at Harper Community College. (NCAA Core Course)

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    M435

     

     

    M435 Quantitative Literacy LEVEL: 4 One year One unit

    PREREQUISITE: 22 Math ACT or ALEKS score 46 or greater or MTH 080 score 70% or higher.

    This dual enrollment course focuses on the analysis and solution of problems and includes representing and analyzing data using statistical measures, using logical reasoning in a real-world context, estimating, approximating, and judging the reasonableness of answers, and the use of appropriate approaches and tools, such as calculators and computers, in formulating and solving real-world problems. This course is aligned to MTH101 Quantitative Literacy at Harper Community College. Successful completion of the course results in college credit. M63502: Harper College Course MTH101, Quantitative Literacy, 4 college credit hours. (NCAA Core Course)

    See Critical Learning Standards  

    M417

     

     

    M417 Trigonometry and PreCalculus LEVEL: 3,4 One year One unit

    PREREQUISITE: M317 Algebra 2 (A,B,C)

    In the study of trigonometry, the student applies algebra and geometry skills to circular and periodic functions and rotational velocity. Many topics studied are developed as an extension of concepts introduced in earlier courses as a preparation for calculus. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M419

     

     

    M419 Advanced Placement Statistics LEVEL: 2,3,4 One year One unit

    PREREQUISITE: M328 (with concurrent enrollment in M439), or M408, M417, or M317 (with concurrent enrollment in M417), (A,B,C)

    The study of statistics is now a requirement for many university majors. Students in this class will perform statistical tests on data sets using technology in order to organize, analyze, and predict outcomes. This course will follow the guidelines of the Advanced Placement Statistics program. Students are encouraged to take the Advanced Placement exam of the College Entrance Examination Board. This course requires use of a computer and graphing calculator. (NCAA Core Course) AP Statistics is a strongly encouraged elective any time course prerequisites are met and can be taken in conjunction with another math class.

    See Critical Learning Standards  

    M439

     

     

    M439 Trigonometry - Calculus A LEVEL: 2,3,4 One year One unit

    PREREQUISITE: M328 Accelerated Algebra 2/Pre-Calculus (A,B) or department approval

    In the study of trigonometry, the student applies algebra and geometry skills to circular and periodic functions and rotational velocity. Additional time is spent on extending the trigonometry identities in the first semester. The second semester study of calculus is no longer limited to those preparing for careers in mathematics and the sciences. The need and demand for students in business and social studies who can design procedures, predict and relate the principles of higher mathematics are increasing dramatically. This course emphasizes the applications of differentiation. It is the first of three semesters of college-level calculus and satisfies the requirements for the first semester of calculus suggested by the Advanced Placement Program of the College Entrance Examination Board. This course requires use of a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

     

    M447

     

    M447 Calculus LEVEL: 4 One year One unit

    PREREQUISITE: M417 Trigonometry and Pre-Calculus (A,B,C) or department approval

    The study of calculus is no longer limited to those preparing for careers in mathematics and sciences. This course emphasizes the skills of differentiation and integration. These students will not qualify for the Calculus AB Advanced Placement Examination. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

     

     

     

    M448 M448 Mobile App Development LEVEL: 2,3,4 One year One unit

    PREREQUISITE: Completion or concurrent enrollment in M319 or M359 or department chair approval

    Students will complete a study of Mobile App development including rapid iterative prototyping. The differences between Web Apps and Native Apps will be highlighted with relationship to the many deployment platforms available. Commonly accepted UI standards will be highlighted for each deployment platform. Students will use agile development techniques to produce quality apps with the intent of making them available to the public. (NCAA Core Course)

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    M449

     

     

    M449 Advanced Placement Calculus AB LEVEL: 4 One year One unit

    PREREQUISITE: M328 Accelerated Algebra 2/Pre-Calculus (A,B) and Trigonometry, M417 Trigonometry, and Pre-Calculus (A), or M408

    The study of calculus is no longer limited to those preparing for careers in mathematics and the sciences. The need and demand for students in business and social studies who can design procedures, predict, and relate the principles of higher mathematics are increasing dramatically. This course emphasizes the various types and applications of differentiation and integration. Students are encouraged to take the Calculus AB Advanced Placement Exam of the College Entrance Examination Board. This course requires use of a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M459

     

     

    M459 Advanced Placement Calculus AB LEVEL: 4 One year One and one-half units

    PREREQUISITE: M348 (A, B, C)

    This accelerated course is the high school equivalent to one semester of college-level calculus. The student is provided additional support in advanced algebra and pre-calculus and prepared to enter college with a strong calculus background. Students are encouraged to take the Calculus AB Advanced Placement Exam. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M468

     

     

    M468 Independent Computer Science LEVEL: 3-4 One year One unit

    PREREQUISITE: M319, M359 or department chair approval.

    Students complete an independent computer science project beyond M359 curriculum in a supportive environment. Projects will be designed and developed through consultation with the student’s advisor (teacher) who will act as advisor/ consultant throughout the project. (NCAA Core Course)

    See Critical Learning Standards  

    M479

     

     

    M479 Advanced Placement Calculus BC LEVEL: 3,4 One year One unit

    PREREQUISITE: M439 Trigonometry-Calculus A (A,B) or department approval

    This course emphasizes applications of differentiation and integration in relationship to topics from trigonometry and college algebra. Calculus BC concludes the three-semester high school equivalent to two semesters of college-level calculus. The student is prepared to enter college with a strong calculus background. Students are encouraged to take the Calculus BC Advanced Placement Exam of the College Entrance Examination Board. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M579

     

     

    M578 Multivariable Calculus LEVEL: 3,4 One year One unit

    PREREQUISITE: M479 AP Calculus score of 4 or 5

    This course is the equivalent to a third course in calculus and analytic geometry including: vector analysis, Euclidean space, partial differentiation, multiple integrals, line and surface integrals, and the integral theorems of vector calculus. M67802: Students with AP Calculus BC scores of 4 or 5 are eligible to enroll in optional University of Illinois credit option at a cost of $300. (NCAA Core Course)

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    M588

     

     

    M588 Independent Study Math LEVEL: 3,4 One year One unit

    PREREQUISITE: M579 (A,B) and department chair approval

    Students complete an independent project beyond M579. Projects will be determined through consultation with the student’s advisor (teacher) who will act as the advisor/ consultant thoughout the project. M68802: Eligible students may enroll in optional University of Illinois credit option at a cost of set by the university ($800-1,100). (NCAA Core Course)

    See Critical Learning Standards  

    M170

     

     

    M170 Essential Mathematics LEVEL: 1 One year      One unit

    PREREQUISITE: Placement through staff conference recommendation

    This course reinforces arithmetic skills aligned to the state’s performance indicators with emphasis on number operation, patterns, ratios, proportions, and estimation. Pre-algebra skills of variable recognition, formulas, and single variable equations are introduced as well as beginning Geometry concepts such as points, lines, planes, and space

    See Critical Learning Standards

     

    Do what you can, with what you have, where you are.

    – Theodore Roosevelt

     

        M212

     

     

    M212 Explorations of Geometric Topics LEVEL: 2,3,4 One year      One unit

    PREREQUISITE: M114, M113, M111

    The course exposes students to a sampling of basic geometric topics including measuring, points, lines, planes, perimeter, area, volume, similarity, congruence, polygons and transformations. This course does not meet the NCAA clearinghouse rules. Students desiring to take Algebra 2 must enroll in at least M214 to satisfy the geometry prerequisite of Algebra 2.

    See Critical Learning Standards

    M214

     

     

    M214 Plane and Solid Geometry LEVEL: 2,3,4 One year      One unit

    PREREQUISITE: M113 Algebra, M114 Algebra 1, or M117 Algebra 1 (D)

    This study of geometry involves studying the axioms and theorems that relate points, lines, planes, and solids. An overview of plane and solid geometry is presented through geometric constructions, measurement formulas, and limited writing of formal proofs. (NCAA Core Course)

    See Critical Learning Standards

    M217

     

     

    M217 Plane and Solid Geometry LEVEL: 1, 2 One year      One unit

    PREREQUISITE: M117 Algebra 1 (A,B,C) or acceptable performance on Algebra examinations

    This comprehensive study of plane and solid geometry includes constructions, formulas for measurement, and formal proofs. It is based on the axioms and theorems that relate points, lines, planes, and solids. Algebraic techniques are integrated into the solution of many geometric problems. (NCAA Core Course)

    See Critical Learning Standards  

    M218

     

     

    M218 Accelerated Plane and Solid Geometry LEVEL: 1,2 One year      One unit

    PREREQUISITE: High performance on Algebra examinations or department approval

    This accelerated course is a comprehensive study of plane and solid geometry including constructions, formulas for measurement and formal proofs. It is based on the axioms and theorems that relate points, lines, planes, and solids. Many of the topics are covered in great depth, especially area and volume of solids. Additional emphasis is placed on the integration of algebraic techniques in solving geometric problems. (NCAA Core Course)

    See Critical Learning Standards  

    M248

     

     

    M248 Advanced Geometry and Trigonometry LEVEL: 2 One year      One and one-half units

    PREREQUISITE: M147 (A,B,C)

    This accelerated course is a comprehensive study of plane and solid geometry including constructions, formulas for measurement and formal proof. It is based on the axioms and theorems that relate points, lines, planes, and solids. Many topics are covered in great depth, especially area and volume of solids. Additional emphasis is placed on the integration of algebra techniques in solving geometric problems. In the study of trigonometry, the student applies algebra and geometry skills to circular and periodic functions with applications in preparation for M348 Advanced Algebra 2/Pre-Calculus. This course requires a graphing calculator. (NCAA Core Course)

    See Critical Learning Standards  

    M256

     

     

    M256 Introduction to Computer Science and Software Design LEVEL: 1,2,3,4 One year      One unit

    PREREQUISITE: None

    Students are introduced to the fundamentals of computer science through the creation of software applications. Examples may include: games, phone apps, interactive web pages, networked programs, and interactive animations. No previous knowledge of computer programming is required. (NCAA Core Course)

    See Critical Learning Standards

    It’s the possibility of having a dream come true that makes life interesting.

    – Paulo Coelho

    Alchemist