College Calculus 2nd Semester Curriculum
Map
Weeks

Concept
State standards

Benchmarks
Students will be able to :

Activities

Assessments

16

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

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

note taking
collaborative problem solving
TI89 explorations

Quiz
Test

710

integral calculus
fundamental theorem of calculus
C.2.7; C.4.4; C.4.5; C.4.6; C.4.7;
C.4.8

find derivatives of inverse functions
find derivatives of logarithmic & exponential
functions
find integrals of logarithmic & exponential
functions

note taking
collaborative problem solving
TI89 explorations

quiz
test
presentation

1115

applications of integration
transcendental functions in calculus
C.5.2; C.5.3;C.5.4; C.5.6;
C.5.7

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

note taking
collaborative problem solving
presentations
TI89 explorations

quiz
test
presentation rubric

1619

applications of integration
C.4.8; C.5.7

apply integration to model and solve applied
problems
use trapezoidal rule to model and solve applied
problems

note taking
collaborative problem solving
presentations
TI89 explorations
power point presentation

quiz
test
presentation rubric





