Algebra 2 contains both content that reviews or extends concepts and skills learned in previous grades as well as expanding into new, more abstract concepts in algebra. During this level course, students gain proficiency in solving linear equations, inequalities, and systems of linear equations. New concepts include solving quadratic equations and inequalities, exploring conics, investigating polynomials, and applying/using matrices to organize and interpret data. Students will also investigate exponential and logarithmic functions.
Chemistry is the science of matter, particularly as it relates to its physical properties, structure, and chemical reactions between various elements and compounds. Subjects that are typically covered include structural properties (atoms, molecules,and the resulting chemical reactions), balancing equations, stoichiometry, gas laws, and many others. Chemistry is a building block subject where previously covered topics combine in more complex ways as newer subjects are introduced, so clear understanding of earlier concepts is essential to ongoing success.
Geometry is the branch of mathematics that studies figures, objects, and their relationships to each other. Calculations for volume and area, as well as solutions for related problems are included. It also includes the theorem and proof aspects around triangles, their respective shapes and angles. My approach utilizes the theoretical concepts and ties them to real world examples to help the student translate from theory into practicality. This typically makes the subject more interesting as well as easier to conceptually grasp.
The GRE exam closely reflects the kind of thinking that is typical for a student in a graduate or business school; as such, its results demonstrate that you are ready for graduate-level work. The exam is separated into three sections: 1) Verbal Reasoning — Measures your ability to analyze and evaluate written material and synthesize information obtained from it, analyze relationships among component parts of sentences and recognize relationships among words and concepts, 2) Quantitative Reasoning — Measures problem-solving ability, focusing on basic concepts of arithmetic, algebra, geometry and data analysis, and 3) Analytical Writing — Measures critical thinking and analytical writing skills, specifically your ability to articulate and support complex ideas clearly and effectively.
Precalculus prepares students for calculus the same way that pre-algebra prepares students for Algebra I. While pre-algebra teaches students many different fundamental algebra topics, precalculus does not involve calculus per se; rather, it explores topics that will be applied in calculus. Examples of topics covered include: composite functions, polynomial functions, rational functions, trigonometric functions and their inverses, exponential functions, logarithmic functions, sequences and series, and binomial theorem.
All four topics (Numbers & Operations, Algebra I & II, Geometry, and Data Analysis) will be covered, as well as test-taking skills and strategies. My experience is that many students can obtain improvement in the 1 or 2 topics in which they are weakest, thus getting the best return on time invested. As such, a previous SAT test result is helpful as a diagnostic tool.
Reading is straight forward, right? After all, we do it every day. But the SAT is not an everyday experience. Specific approaches and strategies can achieve better results, and what works best for a short reading selection may not be the best approach for a long reading selection. My experience with multiple students allows me to explain these strategies in a way that works for the particular student's learning style and correctly answer the most questions possible.