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This course is ideal for advanced middle school students desiring a more advanced exploration of Algebra 1.
Topics covered are linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series. Problem solving skills are emphasized through math competition style questions.
Students are expected to complete a minimum of one hour of homework between sessions.
A scientific calculator is required.
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This course is ideal for students who have mastered basic algebra, such as solving linear equations, and also appropriate for students who have completed or are concurrently enrolled in a Geometry course at school.
Topics include angles, similar and congruent triangles, right triangles, special triangles, perimeter and area, parts of a triangle (medians, altitudes, and bisectors), quadrilaterals, circles, power of a point, curved surfaces, three-dimensional geometry, and introduction to trigonometry.
Students are expected to complete a minimum of one hour of homework between sessions.
A scientific calculator, ruler, compass, and protractor are required.
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Students should have completed at least one year of Algebra 1.
Course assumes familiarity with general algebraic concepts (graphing, factoring, solving quadratics and systems of equations) and approaches topics such as complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations, and more. Problem solving skills are emphasized through math competition style questions.
Students are expected to complete a minimum of one to two hours of homework between sessions.
Graphing calculator recommended; scientific calculator required.
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In this class, students learn how to solve basic word problems without the use of advanced math. Students in this class are usually gifted children or students who show great interest in math. I use Math Olympiad (volume 1 & 2) as the main source.
Pre-requisite: Level 7 math
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Students in this class have studied Pre-Algebra, so I teach them how to apply their knowledge of Pre-Algebra to interesting math problems that many college students may not know how to solve. Students learn how to think smart! I use the Math Olympiad (Volumes 1& 2) as the main source and the previous AMCs as a supplement.
Pre-requisite: Pre-Algebra
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Students in this class have already achieved a basic concept of problem solving and reasoning. They have studied Algebra and Geometry, so they use them to solve amazing math problems. I use AOPS volume 1 as the main source and previous AMCs as a supplement.
Pre-requisite: Algebra 1 & Geometry
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This class is an advanced version of AMC in which students have mastered the AMCs and are getting prepared for the USA Math Olympiad.
I use the Art of Problem Solving (Volume 1 & 2) as the main source and the previous AIMEs as a supplement. I also provide copies of my notes. Aside from problem solving, I teach my students how to arrive at correct answers without completely solving the problems. Yes, it is sometimes possible!
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