Math

List of 17 items.

  • Algebra I AA

    The foundation for success in future mathematical endeavors, the course thoroughly reviews properties and operations of real numbers in the transitional process to the higher-order symbolic expressions of algebra. Linear, nonlinear functions, systems, and data analysis are explored as students learn to develop models for essential applications. Skills and concepts are integrated through problem solving activities which are used to explore as well as critique various types of approaches.
  • Algebra I AAG

    The foundation for success in future mathematical endeavors, the course thoroughly reviews properties and operations of real numbers in the transitional process to the higher-order symbolic expressions of algebra. Linear, nonlinear functions, systems, and data analysis are explored as students learn to develop models for essential applications. Skills and concepts are integrated through problem-solving activities which are used to explore as well as critique various types of approaches.
  • Geometry AA

    The student’s spatial/symbolic cognitive abilities are qualitatively enhanced through an intensive review and extension of Euclidean geometry. The exploration of the properties of multi-dimensional shapes and solids is assisted by the algebraic tools developed in Algebra I. The processes of inductive and deductive reasoning - conditional statements and logical arguments - are thoroughly investigated to refine a student’s understanding of rendering proper conclusions. Fundamental concepts such as congruence, similarity, transformations, areas, and volumes are examined.
  • Geometry AAG

    The student’s spatial/symbolic cognitive abilities are qualitatively enhanced through an intensive review and extension of Euclidean geometry. The exploration of the properties of multi-dimensional shapes and solids is assisted by the algebraic and statistical tools developed in Algebra I. The processes of inductive and deductive reason, conditional statements, and logical arguments are thoroughly investigated to refine a student’s understanding of rendering proper conclusions. Fundamental concepts such as congruence, similarity, transformations, areas, and volumes are examined.
  • Honors Geometry

    This level is for students who desire a greater challenge through problem-solving activities that significantly deepen and broaden the investigations of the comprehensive course. Evidence of readiness for honors includes a previous body of work with a necessary condition of B+ or higher in Algebra I. The condition can be overridden by the department chair.
  • Algebra/Trigonometry

    Following an intense review of the core properties, skills, and algorithms of Algebra I, the student embarks on a mathematical odyssey into regions of irrational, imaginary, and logarithmic proportions. Discovered symbolically and visually are the essential theorems of polynomial functions, the asymptotic behavior of rational functions, the limitations of irrational functions in a real-world, and the natural growth and decay of transcendental functions. The course delves into intense development of trigonometry. Statistics complete the study. Problem-solving skills are refined through a myriad of applications.
  • Honors Algebra/Trigonometry

    REQUIRES TEACHER RECOMMENDATION

    This level is for students who desire a greater challenge through problem-solving activities that significantly deepen and broaden the investigations of the comprehensive course. Evidence of readiness for honors includes a previous body of work with a necessary condition of B+ or higher in Algebra I and Integrated Geometry. The condition can be overridden by the department chair.
  • Fundamentals of Algebra & Trigonometry

    PREREQ: Geometry 
    REQUIRES TEACHER RECOMMENDATION

    This level is for students who require more practice in the development of their algebraic foundation. A thorough review and extension of real number properties, polynomials, linear functions, quadratic functions, and exponential functions are accompanied by basic modeling applications. Concluding the course is an examination of basic trig relationships and applications.
  • Fundamentals of Precalculus

    PREREQ: Fundamentals of Algebra 2 & Trigonometry
    REQUIRES TEACHER RECOMMENDATION

    This is the companion course to Fundamentals of Algebra 2 & Trig. Students will re-engage the topics from Fundamentals as well as expand their understanding of different types of functions, including logarithmic and piece functions. A deeper investigation into trigonometric ratios, identities, and functions completes the course.
  • Precalculus

    Broadening and deepening the investigations of Algebra II & Trig, the student explores algebraically, visually, and numerically, the behavior and properties of families of functions: polynomial, rational, radical, transcendental, and trigonometric. Essential is the continued mastery of symbolic manipulations as real and complex number properties and operations are intensively reviewed. With the foundational concepts in place, the student is exposed to limits and the rudiments of calculus. Basic differentiation and integration are approached through mechanics and applications. The wealth of investigations heighten the student’s awareness of the power of the language.
  • Honors Precalculus

    REQUIRES TEACHER RECOMMENDATION

    This level is for students who desire a greater challenge through problem-solving activities that significantly deepen and broaden the investigations of the comprehensive course. Evidence of readiness for honors includes a previous body of work with a necessary condition of B+ or higher in Algebra II & Trigonometry. The condition can be overridden by the department chair.
  • Calculus

    The essential goals of calculus are to prepare the student for success in college calculus courses of a pure or applied focus and to enhance the student’s understanding of the practical applications of the tools. The course is a thorough exploration of limits, techniques of differentiation and integration, and their practical uses.
  • AP Calculus BC

    REQUIRES TEACHER RECOMMENDATION

    As the course follows the BC curriculum prepared by the College Board, it is an extension rather than an enhancement of Calculus AB. Students considering a major in engineering, science, or mathematics are encouraged to take this course. Successful completion of the AP exam may earn credit for a full year of mathematics in college.
  • AP Calculus AB

    REQUIRES TEACHER RECOMMENDATION

    The equivalent of a one-semester college course, students study the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, using all of the families of functions explored in Pre-Calculus. Emphasized is developing the students’ understanding of the concepts through a multi-representational approach, as work is expressed graphically, numerically, analytically, and verbally. The focus of the courses is a cohesive vision of the broad concepts and methods nurtured through the connections among the different forms of representation.
  • AP Statistics

    Equivalent to a one-semester introductory course in college, the purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students investigate and develop a unifying vision of the four broad conceptual themes: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference. The emphasis throughout the course is to effectively communicate through efficient written and oral expression the methods, results, and interpretations of statistical studies.
  • Multivariable Calculus

    REQUIRES TEACHER RECOMMENDATION

    A third year of calculus and advanced mathematical topics for those who have successfully completed AP Calculus BC.
  • The Intersection of Math, Music & Art

    PREREQ: Successful completion of Alg/Trig

    This elective course will provide a survey of the intersection of the three universal languages:  Math, Art, and Music.  It investigates examples of art inspired by math such as the golden ratio, Pi, spirals, chaos, fractals, infinity, etc. then create our own in a variety of mediums. We will look at the math and physics behind music and the principles of acoustics.  From the math of the musical scales to the design of violin strings, we will explore the interaction of these disciplines.  Then we create our own instruments that use these principles or write original music that explores these relationships.  We will study how sound has informed science, from earthquakes to ultrasounds. Finally, we will do a deep dive into Fractals and Chaos, and their connections to nature and a new generation of art.   Students will be given significant freedom in their projects ranging from the research of works and people that have already been done, to the creation of their own works exploring the connections we study.

The Albany Academy

Albany Academy for Girls

Schellenberger Alumni/ae Center