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1 Date Taught Objective Subsets of real numbers, evaluate functions and state Finding y-intercepts, zeros, & symmetry GADSDEN CITY CURRICULUM GUIDE ESSENTIAL CONTENT AND SKILLS ANALYTICAL MATHEMATICS Text Section Section Name Additional Resources Suggested Time Frame (Block) 1.1 Functions Divide polynomials using long division & synthetic Finding zeros of polynomials, find complex zeros of Analyzing graphs, Factoring & solving Remainder & Factor theorum Zero's of polynomial 1 1 Ch. Time Frame 1 8 days Solve radical equations 2.1 Solve rational equations 2.5 Solve quadratic inequalities & solve rational inequalities Write partial fractions decompositions Power & radical functions Rational functions Nonlinear inequalities Partial Fractions 1/2 day 1/2 day 2 days 7 days 2 days Finding trigonometry functions & solve right Convert degrees to radians and vice versa-convert DMS Find values of trigonometry functions on any angle-use Right triangle trigonometry Degrees & Radians Trigonometric functions on 2 days 6 days

2 Solve oblique triangles using law of sines and law of cosines, & find area of oblique triangles The law of Sines & Cosines 2 days Solve oblique triangles using law of tangents 17 Find The law of tangents 6 days total AL. 7 Find Add, Sub., Mult., by a scalar Matrices 1 Multiply Matrices-find determinants and inverses of 2x2 & 3x3 matrices-find areas of triangles & polygons using determinants AL. 6,8, Matrix multiplication, Inverses, & Determinants Solve systems of equations by elimination or substitution-solve systems using Gaussian elimination & row echelon reduction AL Multivariable linear systems & row operations

3 Date Taught Solve systems using Cramers Rule Find component form and magnitude of a vector, use operations with vectors, find a unit vector with the same directions of a given vector, write a vector as a linear combination of unit Represent and operate with vectorssolve vector problems Objective AL AL. 2,3,4,5 8.2 AL Text Section Solving linear systems using inverses and Cramers Rule Vectors in the Coordinate Plane Introduction to Vectors Section Name Additional Resources 6 days Suggested Time Frame (Block) Ch. Time Frame Find dot products of 2 vectors, use dot product to find the angle between 2 vectors. AL Dot products and Vector projections

4 Precal 8.1,2,4,5 Plot points and vectors in 3-D coordinate systems, find magnitude and component form, perform algebraic operations with vectors. 4, Vectors in 3 dimensional space 2.5 days 3,4,5,& Dot and Cross products of vectors in space 1.5 days 7 days Date Taught Objective Text Section Section Name Additional Resources Suggested Time Frame (Block) Ch. Time Frame Define & identify statements & logical connectives, find negations of statements, write statements symbolically 13, Statements & Quantities Construct truth tables for negation, disjunction, conjunction, conditional & biconditional statements Truth Tables 2 days Simplify Boolean expressions, express values of Boolean functions Boolean Functions

5 6 days Use limits to determine continuity of a functionst Continuity, End Behaviors, & Limits Estimate limits at a certain point and at infinity Estimate limits graphically Evaluate limits at a certain point and at infinity Evaluating limits algebraically 7 days for Final Final exam 4 days

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