ASFG Curriculum Summary Page Grade 11 Subject: Honors Pre-Calculus Time (% or month or # of weeks) Unit / Essential Question Concepts/Content Skills Expressions,exponents, radicals,factoring, Simplify, evaluate, use exponents and radicals, August Summer - Algebra Review functions, rationals solve equations, polynomial operations, use complex numbers. Slopes, functions, domain and range, graphs Find parallel & perpendicular slopes, find domain max. and min., transformations, composite and range of graphs and max. / min. points, use August - September Functions & their graphs and inverse functions transformations for graph information, find inverses and composites. Quadratic basics, leading coefficient test, zeros of functions, intermediate value & Find vertex & x-intercepts of quadratics, use remainder theorem, long division, complex leading coefficient and other tests to analyze September - October Polynomial & Rationals numbers,asymptotes of rational functions polynomials, use long/synthetic division to find factors, perform operations with complex numbers, graph & solve rationals, find asymptotes Transcendental functions: Logarithms, Evaluate, analyze and graph transcendental exponentials, "e", common logs - graph, functions. Solve application word problems. Solve October - November Logarithms & Exponentials transform and solve equations. Financial & transcendental equations. Use properties to scientific applications evaluate logs of any base Unit circle angles in degrees and radians. Find unit circle measures in coordinates, degrees Trigometric functions and inverses in right and radians. Solve right triangles with trig and December - February Trigonometric Functions triangles. Graphs of trig functions, using inverse functions. Graph and transform trig period, amplitude, and phase shifts. Solve functions. Solve trigonometric equations. trigonometric equations Basic trigonometric identities and special Use basic identities to simplify and verify February- March Analytic Trigonometry formulas to solve trig equations expression. Use six special relation formulas to verify identities and solve equations. Laws of sine & cosine, area formulas, vector Solve triangles and find areas. Perform vector April Topics in Trigonometry operations operations Conic sections: Parabola, Circle, Ellipse, Use general and standard form of conic equations, Hyperbola, Parametric equations and polar find focus, vertex, eccentricity and axis of April - May Topics in Analytic Geometry coordinates symmetry. Graph conics and parametric equations and use polar coordinates. Arithmetic sequences and Sigma (∑) Find nth terms, use recursive formulas, find partial June Sequences and Series notation, geometric sequences and infinite sum series geometric series.
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