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

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