Calculus
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First Quarter
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CONTENT (General)
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CONTENT (Specific) |
ASSESSMENTS |
ILLINOIS LEARNING STANDARDS |
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Trig review Logic
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Review of Advanced Math Deductive reasoning |
TEST |
6C, 9D, 6A |
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More Trig. review |
Radian measure Trig. Ratios & Identities Word problems, Quadratic Equation |
|
8C, 9D |
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Functions Sinusoids Functions of - X |
Domain, range, graphs Cofunctions, show that’s Exponentials, polar coordinates |
TEST |
8C, 8D |
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Special Functions Polynomials |
Circles Logarithms Evaluating polys. Using synthetic division |
TEST |
8C, 8D, 8B |
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Continuity More trig identities Limits |
Left and right hand limits Sum, Diff., Double angle identities Limit of a function |
|
8C, 8D, 9D |
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Graphs of logs More sine waves |
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TEST |
8A, 8B, 8C, 8D |
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Parabolas Inverse trig functions Interval notation |
Parabola as locus of points Increasing & decreasing functions Log rules and exponential equations |
|
8B, 8D |
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Limits |
Infinity as a limit Undefined limits |
TEST |
6B, 6D |
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Functions |
Sums, products, quotients of functions FoG, GoF |
TEST |
9C, 8B, 8C, 8D |
Second Quarter
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CONTENT (General) |
CONTENT (Specific) |
ASSESSMENTS |
ILLINOIS LEARNING STANDARDS |
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Derivative Integration Rational functions Area & volume
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Power, product, and quotient rules Implicit differentiation Chain rule Exponential growth & decay Tangent lines Normal lines
|
TEST |
6A, 6B, 6D, 9A, 9D, 7C, 8C, 8D |
Third Quarter
|
CONTENT (General) |
CONTENT (Specific) |
ASSESSMENTS |
ILLINOIS LEARNING STANDARDS |
|
More rational functions Area under curve More f ‘, f ‘’ Integration expanded
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Related rate problems Derivative of trig and inverse trig functions Area between curves Max and Min problems Position, velocity, acceleration Concavity and inflection points
|
TEST |
6B, 6D, 8B, 8C, 8D, 9A, 9D |
Fourth Quarter
|
CONTENT (General) |
CONTENT (Specific) |
ASSESSMENTS |
ILLINOIS LEARNING STANDARDS |
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Integration continued Functions ad nauseum
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Even and odd functions Integration by Parts Solids of revolution Work, force Integration of trig functions Volumes by washers Derivatives of log and Ln Balance points Centroids |
TEST |
6B, 6D, 8B, 8C, 8D, 9C, 9D |