TEACHER_Retha Gipson SUBJECT Pre-Calculus with Trigonometry GRADE_ MONTH August September October

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1 AHR_Retha Gipson UBJ Pre-alculus with rigonometry GRAD_11-12 H August eptember ctober Preliminary concepts for Pre-alculus. Analyze polynomial graphically and algebraically Analyze polynomial graphically and algebraically Polynomial and Rational Functions and heir Graphs xponential and ogarithmic Functions - Review linear equations - Write linear equations in point slope form - nterpret the meaning of slope - dentify, determine the domain and range - Determine intervals of increasing/decreasing - Find the maximum or minimum value of a function - dentify even and odd - Graph piecewise - Review quadratic graph, write in standard form, identify the maximum or minimum value, find zeros - Use quadratic to solve real world problems - Graph polynomial of higher degree determine continuity, end behavior, extrema, intercepts, domain, range, symmetry - olve higher degree equations by quadratic methods - Use the ntermediate Value heorem and graphing to find zeros of polynomial - Apply the concepts of polynomial to model real world situations - Use long division, synthetic division and graphing to find zeros of polynomials - Use the Rational Zero est, Descartes Rule of igns, upper and lower bounds and multiplicity to solve polynomial equations - Find horizontal and vertical asymptotes of rational, identify the domain, range and zeros - valuate and graph polynomial and rational - valuate and graph exponential and logarithmic - stablish the inverse relationship between exponential and logarithmic A - written assessment, quizzes & tests Review of Algebra PRF.1.P.1 PRF.1.P.1 PRF.1.P.2 PRF.1.P.3 PRF.1.P.4 PRF.1.P.1 PRF.1.P.2 F.2.P.1 F.2.P.4 F.2.P.5 1

2 AHR_Retha Gipson UBJ Pre-alculus with rigonometry GRAD_11-12 H ovember December January xponential and ogarithmic Functions onic ections onic ections rigonometric Functions A - Develop and apply the laws of logarithms and the change-of-base formula to simplify and evaluate expressions - olve exponential and logarithmic equations - Use exponential and logarithmic equations to solve application problems: compound interest, exponential growth & decay, carbon dating, logistic models - dentify, graph, write, and analyze equations of parabolas and ellipses, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity - olve real world problems involving parabolas and ellipses - Hands-on activities - dentify, graph, write, and analyze equations of hyperbolas and circles, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity - olve real world problems involving hyperbolas and circles - Define the 6 trigonometric as circular, ratios of sides of right triangles and as of an angle in standard position when given a point on the terminal side of the angle - Use degrees and radians interchangeably to represent angle measure - ketch an angle in standard position and determine the reference angle and co-terminal angles - Find values of trigonometric - Develop and become fluent in the recall of the exact values of the trigonometric for special angles - olve real world problems involving applications of trigonometric - Graph the six trigonometric and identify their characteristics - ketch the graph of transformations of trig, determine amplitude, period, phase shift and vertical shift - dentify and graph the inverse of trigonometric 2

3 F.2.P.2 F.2.P.3.3.P.1.3.P.3.3.P.1.3.P.3 F.5.P.1 F.5.P.2 F.5.P.3 F.5.P.4 F.5.P.5 F.5.P.6 F.5.P.7 F.5.P.8 F.5.P.9 AHR_Retha Gipson UBJ Pre-alculus with rigonometry GRAD_11-12 H February arch April rigonometric quations and dentities blique riangles blique riangles Vectors Polar oordinates equences and eries - Develop the Pythagorean dentities and use to verify other identities and simplify expressions - Develop and use trigonometric formulas including sum and difference formulas and multiple-angle formulas - olve trigonometric equations algebraically and graphically - Develop and use the aw of ines to solve oblique triangles - olve real world problems applying the aw of ines - Determine the area of an oblique triangle - Develop and use the aw of osines to solve oblique triangles - olve real world problems applying the aw of osines - Determine the area of an oblique triangle using Heron s formula - Use vectors to solve problems and describe addition of vectors and multiplication of a vector by a scalar, both symbolically and geometrically - Use vectors to model situations defines by magnitude and direction and analyze and solve real world problems - onvert polar coordinates to rectangular coordinates and rectangular coordinates to polar coordinates - Represent equations given in rectangular coordinates in terms of polar coordinates - Graph polar equations using technology when needed - Apply polar coordinates to real world situations - Develop, with and without appropriate technology, a representation of sequences recursively - Define and discriminate between arithmetic and geometric sequences and series - olve problems involving the sum (including igma notation) of finite and infinite sequences and series - Determine the n th term of a sequence given a rule or specific terms - Use sequences and series to solve real world problems 3

4 A.7.P.1.7.P.2.7.P.3.6.P.1.6.P.2.6.P.3 - class activity.6.p.1.6.p.2.6.p.3 P.8.P.1 P.8.P.2 P.8.P.3 P.8.P.4.4.P.1.4.P.2.4.P.3.4.P.4.4.P.5 AHR_Retha Gipson UBJ Pre-alculus with rigonometry GRAD_11-12 H ay olve ystems of quations - olve, with and without appropriate technology systems of linear equations and inequalities - olve, with and without appropriate technology systems of equations and inequalities involving conics - Use the Binomial heorem and Pascal s riangle to write binomial expansions (ptional if time allows) 4

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