GHS Mathematics Courses

  • Common Core Algebra

    The focus of Common Core Algebra is functions. Students will study linear functions, exponential functions, quadratic functions, radical functions, and rational functions. Students will solve linear equations, linear inequalities, quadratic equations, rational equations, systems of linear equations, and systems of linear inequalities. Throughout the course, students will: make sense of problems and persevere in solving them; reason abstractly and quantitatively; construct viable arguments and critique the reasoning of others; model with mathematics; use appropriate tools strategically; attend to precision; look for and make use of structure; and look for and express regularity in repeated reasoning. Graphing calculators are required.

    Texas Instruments TI-84 Plus will be used in class. Students will take the New York State Common Core Algebra Regents Exam in June. Passing that exam is a graduation requirement.

    • 1 unit/full year
    • Grades 8–12

    Geometry/Trigonometry

    This is a second- or third-year math course and emphasizes selected topics in Geometry and Trigonometry with an emphasis on maintaining good Algebra skills. This course is intended for students who are not pursuing an Advanced Regents Diploma.

    • 1 unit/full year
    • Grades 10–12
    • Prerequisite: Pass the Common Core Algebra course

    Common Core Algebra for Spanish Speakers

    Common Core Algebra for Spanish Speakers follows the same curriculum and guidelines as the Common Core Algebra course, but with support, instruction, and assessment being presented in both English and Spanish. The focus of Common Core Algebra is functions. Students will study linear functions, exponential functions, quadratic functions, radical functions, and rational functions. Students will solve linear equations, linear inequalities, quadratic equations, rational equations, systems of linear equations, and systems of linear inequalities. Throughout the course, students will: make sense of problems and persevere in solving them; reason abstractly and quantitatively; construct viable arguments and critique the reasoning of others; model with mathematics; use appropriate tools strategically; attend to precision; look for an make use of structure; and look for an express regularity in repeated reasoning. Graphing calculators are required. Texas Instruments TI-84 Plus will be used in class. Students will take the New York State Common Core Algebra Regents Exam in June. Students will prepare to take the exam in Spanish and/or English. Passing that exam is a graduation requirement.

    • 1 unit/full year
    • Grades 9–12
    • Prerequisite: Must be proficient in the Spanish language.

    Common Core Geometry

    Common Core Geometry R is devoted primarily to plane Euclidean geometry. The standards for this course include: reasoning and proof; parallel and perpendicular lines; congruent triangles; relationships in triangles; quadrilaterals; proportions and similarity; right triangles and trigonometry; transformations and symmetry; circles; areas of polygons and circles; surface area and volume. Throughout the course, students will: make sense of problems and persevere in solving them; reason abstractly and quantitatively; construct viable arguments and critique the reasoning of others; model with mathematics; use appropriate tools strategically; attend to precision; look for and make sue of structure; and look for an express regularity in repeated reasoning. Graphing calculators are required. Texas Instruments TI-84 will be used in class. Students will take the New York State Common Core Geometry Regents Examination in June.

    • 1 unit/full year
    • Grades 9–12
    • Prerequisite: Pass the Common Core Algebra course and Regents Exam.

    Common Core Algebra 2 (1 unit)

     OR

    Algebra 2A and Algebra 2B

     (over 2 years – 1 unit each)

    Algebra 2: The functions and relations studied in Common Core Algebra 2 include: linear, quadratic, polynomial, radical, exponential, logarithmic, rational, and trigonometric. Students will solve linear, quadratic, polynomial, radical, exponential, and logarithmic equations; also explored are trigonometric functions and their applications, systems of equations, including linear/absolute value, and quadratic/linear. Other topics include: sequences and series, probability, and statistics. Throughout the course, students will: make sense of problems and persevere in solving them; reason abstractly and quantitatively; construct viable arguments and critique the reasoning of others; model with mathematics; use appropriate tools strategically; attend to precision; look for and make use of structure; and look for and express regularity in repeated reasoning. Graphing calculators are required. Texas Instruments TI-84 will be used class. Students will take the New York State Common Core Algebra 2 Regents Exam in June.

    Students in the Algebra 2A and Algebra 2B 2-year sequence will take the Regents Examination in June of the second year.

    • 1 unit/full year
    • Grades 10–12
    • Prerequisite: Pass the Common Core Algebra and Geometry courses and Regents Exams

    AP Calculus AB

    AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. The use of a graphing calculator is an integral part of the course—Recommended Model: TI-83 Plus or TI-84 Plus. The AP test in Calculus AB is offered in May.

    • 1 unit/full year
    • Grades 11– 12
    • Prerequisite: Pass Common Core Algebra 2 with 80 percent or better.

    AP Calculus BC

    AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AP Calculus AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, infinite series, parametric functions, vectors, and polar functions. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. The use of a graphing calculator is an integral part of the course—Recommended Model: TI-83 Plus or TI-84 Plus. The AP test in Calculus BC is offered in May.

    • 1 unit/full year
    • Grade 12
    • Prerequisite: Pass AP Calculus AB with 80 percent or better.

    AP Statistics

    The Advanced Placement (AP) course in statistics consists of a full high school academic year of work that is comparable to a 1-semester, introductory, non-calculus based college course in statistics. It is expected that students who take the AP course in statistics will seek college credit from institutions of higher learning.  Topics include exploring, interpreting, summarizing, collecting, and comparing univariate and bivariate data, probability as a relative frequency, probability distributions, normal distributions, sampling distributions, the central limit theorem, confidence intervals, and hypothesis testing. The use of Minitab, a statistical software package, and the graphing calculator are an integral part of the course. Recommended Calculator: Texas Instruments TI-83 Plus or TI-84 Plus. The AP test in statistics is offered in May.

    • 1 unit/full year
    • Grades 11–12
    • Prerequisite: Pass Common Core Algebra 2 with 80 percent or better.

     

    Mathematics of Money

    Gemini Course

    Mathematics of Money is intended to develop basic algebra skills, problem solving, and mathematical reasoning.  The course is also designed to equip students with the mathematical skills necessary to analyze and understand business and personal finance situations.  The course does not necessarily require students to have any significant algebra background, as all necessary algebra skills are developed in context within the course, though prior experience with algebra is definitely helpful.  The central concept of the course is the time-value of money and emphasis is placed on calculations and critical reasoning for problems where this is a major issue, such as simple and compound interest and annuities. This course is intended for Juniors and Seniors looking to get Gemini Credit in Math and their 3rd or 4th credit of Math.

    • (3 FLCC credits)
    •  1 unit / full year
    • Grades 11–12
    • Prerequisite:  Pass Common Core Algebra class and Regents Exam

    Data Science in the Community                                                                                           

    The ability to work with, understand, and use data has become an essential life skill and requirement for an ever-expanding range of jobs and careers.  Data is everywhere around us.  Ninety percent of the world’s data has been created in the last two years.

    In this course, students will be extracting, analyzing, visualizing, managing, and storing data.  Students will be able to work with, understand, and make data-based arguments applying their critical-thinking skills to solve real-life problems such as analyzing issues about the environment, space travel, or nutrition.  Students can examine the threat of wildfires or the ways social media is tracking their data, learning how to apply math to real-world issues.  Students may write computer programs that help sort through data and identify regularities.

    • 1 unit/full year
    • Grades 11-12
    • Prerequisites:  Pass the Common Core Algebra class and Regents exam plus another high school math credit

    Fundamental Mathematics for College-Bound Students

    This course is for upper-class students who have successfully completed all of the Math requirements for a high school diploma but need a “refresher course” before going off to college. Some students find that when they get to college, they are required to take a “developmental” math course for no credit before they are allowed to take a credit-bearing course. In college, a student would have to pay tuition for this course that can be taken at Geneva High School for free! Topics include: quadratic factoring, quadratic equations in one and two variables, algebraic fractions, exponents and radicals, linear and quadratic systems, graphing techniques, and right triangle trigonometry. Applications will be integrated throughout the course.

    • 1 unit/full year
    • Grades 11–12
    • Prerequisite: Pass the Common Core Algebra and Geometry courses and Regents Exams
    • Can be used as 3rd Math Credit.