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 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.
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.
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 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.
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.
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.
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.
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.
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. Lab work is integrated throughout the course and topics 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.
A First Course: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.