June 29-August 11 (Please note: Summer School will be closed on July 3 and 4).

Math - Credit Classes

List of 4 items.

  • Algebra 1C - 8:00-11:10 am

    Grades 8-10
    This is a standard Algebra 1 course taken for a full year’s credit. Topics include solving multi-step equations; slope-intercept, point-slope, and standard forms; linear and absolute value inequalities; linear systems; solving and graphing quadratic equations, including completing the square; and rational equations.
  • Algebra 2C - 8:00-11:10 am

    Grades 9-12
    This is an intensive standard Algebra 2 course that may be taken for a full year’s credit.  Students will study linear, absolute value, quadratic, polynomial, exponential, logarithmic, inverse, power, composite, and rational functions.  Inequalities, matrices, Trigonometry (right triangle), sequence and series, and conic sections will also be covered.
  • Geometry C - 8:00-11:10 am

    Grades 9-11
    Geometry is a critical component of a mathematics education because students are required to relate concepts from Algebra I and Algebra II to geometric phenomena. This course requires students to focus on logical proof and critical thinking when solving problems or evaluating arguments. Most of the course is focused on preparation for
    Pre-Calculus, and thus several concepts and activities preview topics from these higher- level mathematics courses. The course introduces a wide range of topics and moves rather quickly. Homework assignments are assigned each night. Tests are given each week, and class meetings are divided into periods of lecture sessions, problems solving
    and homework problem review. Grades for this course are based on homework assignments, quizzes, class participation, binder checks and several tests.
  • Pre-Calculus C - 8:00-11:10 am

    Grades 10-12
    This course bridges the study of Algebra II and Calculus. The coverage includes functions, polynomials, logs, exponents, and trigonometry including advanced curve sketching techniques. Series and sequences are studied along with the binomial theorem and induction proofs. Conic sections, counting principles and probability,
    matrices, rational functions, and limits are also included. Advanced stats, vectors, and parametrics are covered if time permits.

Science - Credit Classes

List of 3 items.

  • Biology C - 8:00-11:10 am

    Grades 9-12
    The credit biology course is an intensive class that moves at an accelerated pace and is designed to give students exposure to a majority of topics within a full year high school biology course. Through the investigation of the natural world, students will gain an appreciation of the unity and diversity of life on earth. The six major units of
    study will include: Characteristics of Life and Biochemistry, Cells and Cell Processes, DNA and Genetics, Evolution and Classification, Ecology, and Human Anatomy and Physiology. Students will be responsible for lecture notes, daily homework, hands-on laboratory work, laboratory reports, writing assignments, content-based
    projects, unit exams, and a final examination. There will be a special emphasis on critical thinking in the laboratory as students investigate biology as a science, as well as science as a process.
  • Chemistry C - 8:00-11:10 am

    Grades 10-12
    Chemistry C covers all the topics traditionally studied in a first-year, honors level, secondary school Chemistry course. Lab work is integrated throughout the course. Topics covered include Atomic Theory and Structure, Bonding, 3-D Shapes and Intermolecular Forces, Gas Laws, Thermodynamics, Stoichiometry, Acid and Bases, Equilibrium, Reaction Rates, Oxidation Reduction (Redox), and an introduction to Organic Chemistry.
  • Physics C - 8:00-11:10 am

    Grades 10-12
    This is a rigorous, Algebra-based course that introduces students to the main topics included in a first-year Physics course. Students learn to analyze motion, energy, momentum, waves, electricity and magnetism. These topics are
    covered in greater depth than in Physics and require a higher level of cognitive skill. Students are not permitted to simply recall prior problem solutions. They are expected to solve new and unfamiliar challenges. Only students with a solid math background including basic trigonometry, and a willingness to devote significant time and energy
    to mastering the material should take this course.

Math – Intensive Classes

List of 5 items.

  • Algebra 1 - 12:15-2:10 pm

    Grades 8-10
    This course in elementary Algebra covers a number of topics: positive and negative integers, fractions and decimals, probability and odds, square roots, balancing equations, introductory trigonometry, solving and graphing linear equations and inequalities and finally the solutions of quadratic equations if time. Algebraic and numerical expressions are studied and applied to linear equations and inequalities with one variable. Then linear equations and systems of two-variable equations are covered. Quadratics are factored and solved as well. Being a non-credit course, it is scaled to the needs of the individual students taking the class.
  • Algebra 2 - 8:00-10:00 am

    Grades 9-12
    Algebra 2 is an intermediate course. Topics include solving and graphing equations and inequalities, linear equations and functions, systems of linear functions and inequalities, quadratic and polynomial functions, radical and fractional equations, exponential and logarithmic functions, and conic sections. This course provides a solid base for a full year Algebra 2 course.
  • Calculus - 8:00-10:00 am

    Grades 11-12
    This course is a complete study of Differential Calculus and a significant introduction to Integral Calculus. The major topics include limits, techniques of differentiation, applications of the derivative (including optimization, related rates, and rectilinear motion), and the basics of integration and Riemann sum applications. Continuity, the Mean Value Theorem, and linearization are also studied. A very quick review of trig, logs, exponential, polynomial, and rational functions begin the course. Series and Sequences and Differential Equations are not usually reached. The course is designed to allow students to skip Differential Calculus, jump to BC Calculus, or just provide students with a solid grounding in this fundamental math course.
  • Geometry - 12:15-2:10 pm

    Grades 9-11 
    The purpose of this course is to give students a broad and intensive introduction to Geometry. The course will focus on the following core competencies: understanding geometry diagrams, using correct terminology, making logical deductions and articulating well-reasoned proofs, using algebraic and computational techniques correctly, and communicating appropriate steps in a proof or solution clearly.
    As a prerequisite for this course, students are expected to have completed Algebra I.
  • Pre-Calculus - 8:00-10:00 am

    Grades 10-12
    Pre-Calculus builds on the work of Algebra 2 and adds additional material to prepare students for the future study of Calculus. Topics include an exploration of functions from numerical, graphical, and symbolic points of view; exponents and logarithms; sets, intervals, behavior of functions including domain/ range; Trigonometry; and mathematical modeling.

Science - Intensive Classes

List of 3 items.

  • Biology - 12:15-2:10 pm

    Grades 9-12
    This non-credit biology course is designed to give students an appreciation of the unity and diversity of life on earth. The course consists of five major units: Characteristics of Life and Biochemistry, Cells and Energy, DNA and Genetics, Evolution and Classification, and Ecology. Students will be responsible for daily homework, hands-on lab
    activities, writing assignments, class participation, projects, unit exams and a final examination. Students will investigate biology as a science, as well as science as a process.
  • Chemistry - 12:15-2:10 pm

    Grades 10-12
    This course covers many of the topics – including laboratory work – traditionally covered in a secondary school Chemistry course. Emphasis is placed on understanding the periodic table and the details of how it is arranged. A great deal of class time is spent examining, discussing and experimenting with chemical structure, behavior and
    reactions. The topics covered include atomic theories and structure, ions in solution, double-replacement reactions, molecular bonding, stoichiometry and the heats of reaction.
  • Physics - 12:15-2:15 pm

    Grades 10-12
    Problem solving and understanding the meaning and applications of physical concepts are the main emphases of this course. Students learn to analyze motion, energy, momentum, waves, electricity, and magnetism. Although the central format for this course is classroom lectures, many demonstrations and laboratory experiments are included for clarification. This is a survey course, which is intended to give students initial exposure to the major topics covered in a first-year physics course.
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Belmont Hill School educates boys in mind, body, and spirit to develop men of good character. Our community encourages and challenges students to discover and pursue passions, seek excellence, and face adversity with resilience. We cultivate critical thinking and creativity, teamwork and competition, hard work and reflection, tradition and innovation. Valuing our differences and working together, we embrace camaraderie, compassion, and service to others. Our school strives to instill in each boy ethical judgment, a sense of common humanity, and a lifelong love of learning.