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 WHAT ARE THE DISCIPLINES? There are three primary disciplines of the Judo Math Teaching program. 1. Fundamentals a. Fractionology A deep conceptual understanding of the manipulation of fractions b. Ratios A comparison of proportions and scale c. Percent Reasoning Percent increase, decrease, simple and compound interest d. Combining Order of operations, combining like terms, integers Sensei: Geometry – Lines, angles and complex areas, Fibonnaci sequence, triangular numbers. 2. Problem solving a. Modeling equations Solving multi-step equations, translating b. Modeling inequalities Solving and graphing inequalities on a number line, compound inequalities c. Manipulating variables Converting formulas, showing equations in terms of a variable d. Applications Payment plans, distance/rate/time, money, work problems. Sensei: Trigonometry – sine/cosine/tangent, law of sines, law of cosines. 3. Graphing a. The Basics Slope, Cartesian coordinate system orientation b. Linear graphing Graphing equations and inequalities c. Linear writing Writing equations and inequalities of lines d. Solving Systems Solving and graphing systems of linear equations and inequalities. Sensei: Quadratics- graphing and writing quadratic equations, factoring, rational expressions

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