Mathematics

  • MATHEMATICS PROGRAM SEQUENCE

     
    Algebra 1, Geometry, and a third year of mathematics are required for graduation (15 credits).

    Options for acceleration in mathematics are available in several ways including original credit courses in Summer Academy or taking two non-elective math courses in the same school year.

    Questions regarding prerequisites and/or sequence acceleration should be directed to the department supervisor. 
     
    ALGEBRA 1  
    5 Credits    
    Algebra 1 is designed to give students the requisite skills for all future mathematics courses through real-world problem-solving. Students will explore writing, solving and graphing linear equations and inequalities, powers and exponents, quadratic equations, polynomials, factoring, probability, and statistics.  
     
    ALGEBRA 1 WORKSHOP  
    2.5 - 5 Credits   
    Algebra 1 Workshop is an elective taught concurrently with Algebra 1 and will provide assistance with algebraic content, techniques, and strategies needed to develop mathematical proficiency and fluency. Students will develop the confidence and appreciation for using mathematics so they can be more successful as they progress in their high school math courses. 
     
    GEOMETRY AND HONORS GEOMETRY
    5 Credits
    Prerequisite: Algebra 1. May be taken concurrently with Algebra 2. 
    Students will explore geometric situations and deepen their explanations of geometric relationships moving toward formal mathematical arguments. The courses guide students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to exercise problem-solving skills in authentic situations. The curriculum includes the topics of transformations, congruence, similarity, trigonometry, two- and three-dimensional figures, circles, and probability. 

    ALGEBRA 2 AND HONORS ALGEBRA 2  
    5 Credits
    Prerequisites: Algebra 1 and Geometry. May be taken concurrently with Geometry.

    Students will advance their knowledge of algebraic and statistical concepts by analyzing relationships of inverses and new function families: polynomial, rational, radical, exponential, logarithmic, and trigonometric. 

    PRECALCULUS AND HONORS PRECALCULUS 
    5 Credits
    Prerequisites: Geometry and Algebra 2
    Precalculus provides the background for mathematical concepts, problems, issues, and techniques that appear in the study of calculus, including but not limited to: functions, trigonometry, polynomials, complex numbers, matrices, series and sequences, limits and continuity, and derivatives. Students will investigate theoretical, numerical, graphical, and spatial topics upon which to build their study of advanced mathematics.  
     
    CALCULUS
    5 Credits
    Prerequisite: Precalculus

    This course is for students interested in engineering, physics, weather prediction, aircraft design, and other scientific careers that develop theories, solve practical problems, and predict natural phenomena. Topics include functions and graphs, tangent lines, derivatives, limits and continuity, applications of differentiation and integration. Calculus provides the answer to questions that cannot be solved by using, algebra, geometry, or trigonometry alone. 
     
    STATISTICS
    5 Credits
    Prerequisite: Algebra 2

    In this course, students will learn and apply the concepts of probability and statistics required to critically analyze and synthesize real-world data. Students will see how fields outside of mathematics use statistics to analyze and interpret data to make informed decisions. 
     
    ADVANCED PLACEMENT CALCULUS AB
    5 Credits
    Prerequisite: Precalculus

    This college-level course on differential and integral calculus encompasses the study of elementary functions, limits, the derivative and its application, antiderivatives, integration, slope fields, and applications of the integral.
     
    5 Credits
    Prerequisite: Precalculus 
    This is an intensive full-year course exploring the calculus of single variable functions. In addition to the topics covered in Calculus AB, the Calculus BC course includes additional advanced topics, such as infinite series, sequences, parametric equations, and vectors.
     
    5 Credits
    Prerequisite: Algebra 2  
    This college-level course offers the study of major concepts and tools for collecting, analyzing, and drawing conclusions from data. The curriculum includes four broad conceptual themes: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference.
     
    ADVANCED ALGEBRA AND TRIGONOMETRY
    5 Credits
    Prerequisites: Geometry and Algebra 2 and department supervisor consultation recommended 

    This course is designed for students to extend their understanding of algebra and introduce the study of trigonometry and basic statistics. A thorough understanding of functions and their graphs will be stressed. The course provides an alternative to Precalculus for those students who intend on going to college, but are not likely to need Calculus for their majors.

    COLLEGE & CAREER MATH
    5 Credits
    Prerequisites: Algebra 1 and Geometry and department supervisor consultation recommended    
    College & Career Math is a culminating course in the math sequence that builds on skills from Algebra and Geometry, strengthening students’ ability to model scenarios and solve authentic problems. Problems are approached from a variety of perspectives, including graphical, numerical, verbal, and algebraic. Students will apply the standards of mathematical practices, algebraic reasoning, and statistics to analyze social applications as well as economic applications related to personal and business finance.
     
    DISCRETE MATH
    5 Credits
    Prerequisite: Algebra 2 or Geometry and department supervisor consultation recommended 

    This college preparatory mathematics course includes units on mathematics of social choice, management science, growth and symmetry, and the development and use of mathematical models to reflect real-life applications.
     
    5 Credits
    Prerequisites: Algebra 1, Geometry, and department supervisor consultation recommended 
    Modern Math deepens mathematical understanding through a focus on recurring themes and patterns in the context of modern real-world scenarios. Building on Algebra 1 and Geometry foundations, students will think numerically, algebraically, spatially, and logically by engineering solutions to current dilemmas through the Standards of Mathematical Practice. 
     
    2.5 Credits
    Honors Intro to Computer Science is an introductory computer science course. Students will learn the basic structures of programming such as repetition statements, selection statements, and arrays. They will learn these basics through the creation of user-friendly and efficient programs using the Java programming language. 
     
    ADVANCED PLACEMENT COMPUTER SCIENCE A
    5 Credits
    Prerequisite: Geometry 

    This is an intensive full-year course that familiarizes students with programming concepts (using the Java programming language) comparable to an introductory course in computer science at the college level. Topics include Java fundamentals, arrays and matrices, selection and repetition, pointers and dynamic memory, strings and text, classes and objected-oriented programming, recursion, searching and sorting techniques, algorithmic analysis, and references and dynamic memory.