College Calculus 2nd Semester Curriculum
Map
Weeks
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Concept
State standards
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Benchmarks
Students will be able to :
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Activities
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Assessments
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1-6
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integral calculus
Riemann Sums
fundamental theorem of calculus
C.4.1; C.4.2; C.4.3 C.4.4; C.4.5; C.4.6; C.4.7;
C.4.8; C.5.1C.5.5
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find average value of a function & specific
antiderivatives
calculate Riemann Sums & limits as definite
integral
use fundamental theorem of calculus &
properties of definite integrals
use integration by substitution
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note taking
collaborative problem solving
TI-89 explorations
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Quiz
Test
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7-10
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integral calculus
fundamental theorem of calculus
C.2.7; C.4.4; C.4.5; C.4.6; C.4.7;
C.4.8
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find derivatives of inverse functions
find derivatives of logarithmic & exponential
functions
find integrals of logarithmic & exponential
functions
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note taking
collaborative problem solving
TI-89 explorations
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quiz
test
presentation
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11-15
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applications of integration
transcendental functions in calculus
C.5.2; C.5.3;C.5.4; C.5.6;
C.5.7
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use definite integrals to find area between
curves
use definite integrals to find volume of a
solid
solve differential equations and use them in
applications growth & decay
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note taking
collaborative problem solving
presentations
TI-89 explorations
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quiz
test
presentation rubric
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16-19
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applications of integration
C.4.8; C.5.7
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apply integration to model and solve applied
problems
use trapezoidal rule to model and solve applied
problems
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note taking
collaborative problem solving
presentations
TI-89 explorations
power point presentation
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quiz
test
presentation rubric
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