Calculus

Calculus

1st sem maps

 College Calculus1st Semester  Curriculum
Map




Weeks


Concept


State standards


Benchmarks


Students will be able to :


Activities


Assessments


1-2


graphs, functions, rates of change, use of
technology


C.2.1


find slope as rate of change


model functions with & use
technology


note taking


collaborative problem solving


TI-89 explorations


Quiz


create written calculator
guide


3-5


limits & their properties


C.1.1; C.1.2;
C.1.3; C.1.4; C.1.5; C.1.8; C.1.9; C.1.10; C.1.11; 
C.1.12


find limits graphically, numerically, &
analytically


note taking


collaborative problem solving


TI-89 explorations


quiz


test


presentation


6-9


Differentiation


C.2.1; C.2.2;
C.2.3; C.2.4; C.2.5; C.2.6; C.2.8; C.2.10; C.2.11


 


find derivatives using definition


find derivatives using basic rules


use chain rule & find implicit
derivatives;solve related rate problems


note taking


collaborative problem solving


TI-89 explorations


power point presentation


quiz


test


presentation


 


10-14


Calculus applications of differentiation


C.1.13; C.3.1;
C.3.2; C.3.3; C.3.4; C.3.5; C.3.6; C.3.7; C.3.9


use first derivative to find increasing and
decreasing functions


use first derivative to find extremum


use second derivative to find concavity &points
of inflection


note taking


collaborative problem solving


TI-89 explorations


 


quiz


test


presentation


 


15-18


Applied  applications of differentiation


C.1.6; C.3.6;
C.3.7; C.3.9; C.3.10; C.3.11; C.3.12


use derivatives and limits to sketch
curves


use derivatives to solve optimization
problems


use differentials to approximate function values
& square roots


note taking


collaborative problem solving


TI-89 explorations


power point presentation


quiz


test


presentation


 

2nd sem maps

 College Calculus 2nd Semester  Curriculum
Map



Weeks


Concept


State standards


Benchmarks


Students will be able to :


Activities


Assessments


1-6


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


TI-89 explorations


Quiz


Test


7-10


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


TI-89 explorations


 


quiz


test


presentation


11-15


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


TI-89 explorations


 


quiz


test


presentation rubric


 


16-19


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


TI-89 explorations


power point presentation


quiz


test


presentation rubric


 




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