CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
NISD
3rd Six Weeks
November 16
 Goal(s): second fundamental
theorem
Guiding questions:
 How can you find the
derivative of an integral?
 What part of the chain rule
comes into play when using
the second fundamental
theorem?
Activities:
 Quiz 6.3-6.4
 Summarize second
fundamental theorem of
calculus

 Ws 6.6 Second Fundamental
Theorem
Closure:
Assignment:
 Video - Functions defined by
integrals
November 17
November 18
 Goal(s): Apply the fundamental  Goal(s): review unit objectives
theorem of calculus to
functions defined by integrals Guiding questions:
 What concepts of integration
Guiding questions:
do you currently struggle in
 How can you find the
the most?
derivative of an integral?
 What can you do to improve
 What part of the chain rule
upon those weaknesses?
comes into play when using  How can you study for a test
the second fundamental
in math?
theorem?
 What plan will you follow to
 How are derivatives related to
succeed on this test?
functions defined as
integrals?
 What relationships can be
Activities:
used to analyze functions
 Quiz 6.5 1st and 2nd
defined by integrals?
Fundamental Theorem
 Practice AP Free Response
Activities:
 Review
 summarize functions defined
by integrals
Assignment:
 WS 6.7 Functions Defined by  Study for test
Integrals
Review worksheet
 Class Closure:

Closure:
Assignment:
worksheet
November 19
 Goal(s): assess unit goals
November 20
 Goal(s): evaluate indefinite
integrals using u- substitution
Activities:
 Test 6
Assignment:
 Videos - u-substitution with
indefinite AND definite
integrals
Guiding questions:
 What process do you use to
rewrite an integral using
different variables?
 Why do we use usubstitution?
 How can u-substitution be
used to evaluate indefinite
integrals?
Activities:
 Warmup
 Summarize u-substitution
 WS 7.1 u-sub indefinite
integrals
Closure:
Assignment:
 None
CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
November 30
 Goal(s): integrate definite
integrals using u-substitution
NISD
December 1
 Goal(s): integrate rational
functions to get logarithmic
functions
Guiding questions:
 What process do you use to Guiding questions:
rewrite an integral using
 How can rational functions be
different variables?
integrated using u How can u-substitution be
substitution?
used to evaluate definite
 How can u-substitution and
integrals?
rational functions be used to
 How can limits of integration
integrate trigonometric
be rewritten using ufunctions, such as secx, cscx,
substitution?
etc?
December 2
 Goal(s): integrate exponential
functions, base e and base a


Assignment:
 Video - u-sub exponents base
e and base a integration
December 4
Guiding questions:
 What concepts of usubstitution do you currently
struggle in the most?
 What can you do to improve
upon those weaknesses?
 How do the concepts in this unit  How can you study for a test
relate to AP questions?
in math?
 What plan will you follow to
Activities:
succeed on this test?
 Quiz 7.3 u-sub with logs
 Complete ap free response
questions in pre-arranged
Activities:
groups –each group gets one  Review Unit 7
question-15 minutes time
limit.
Assignment:
 Groups present answers to
 Study for test
class
 Review worksheet
Guiding questions:
Guiding questions:
 What concepts of differential
 When integrating exponential
equations do you currently
functions, how can ustruggle in the most?
substitution be used to
 What can you do to improve
simplify the integrand?
upon those weaknesses?
Activities:
 Warmup
 Summarize integrating
exponential functions base e
 cooperative practice
 Summarize integrating all
Activities:
Activities:
exponential
 Warm up
 Quiz 7.1-7.2 u-sub
 WS 7.4 & WS 7.5 u-sub
 Summarize definite integrals  Summarize integrating rational
exponents
using u-substitution
functions to get logarithmic
functions
 WS 7.2 u-sub definite integrals
Closure:
 WS 7.3 u-sub logs
 Class Closure:
 Class Closure:
Closure:
Assignment:
Closure:
 Finish worksheets
Assignment:
 Video - u-sub logs integration
December 3
 Goal(s): apply unit goals to AP Free Goal(s): review unit goals
Response questions

Assignment:
 Review Worksheet

CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
NISD
MONDAY
December 7
 Goal(s): assess unit goals
Activities:
 Test 7
TUESDAY
WEDNESDAY
THURSDAY
December 8
December 9
December 10
 Goal(s): use differential equation
 Goal(s): solve differential
 Goal(s): solve differential
to solve application problems,
equations using separation of
equations using separation of
including exponential
variables
variables
growth/decay and cooling
Guiding questions:
 What steps can be used to
Assignment:
solve some differential
 Video – Differential Equations
equations?

 What is the most important
step in solving a separable
differential equation and
why?
Activities:
 Warmup
 Discuss differential equations
 WS 8.1 Diff eq
Assignment:
Worksheet

Guiding questions:
 What steps can be used to
solve some differential
equations?
 What is the most important
step in solving a separable
differential equation and
why?
Activities:
 WS 8.1 Diff eq

Assignment:
 Video: Applications of Diff Eq

Guiding questions:
 Based on what you know, how
would you explain how to write a
differential equation based on an
application problem?
 How can you solve a differential
equation?
 How do differential equations
relate to the real world?
Activities:
 Warmup
 Notes applications of
differential equations
 Independent/cooperative
practice WS 8.2 Applications of
DE
Closure: Describe a real world
situation in which a differential
equation could be used.
Assignment:
 Video: Slope fields


FRIDAY
December 11
 Goal(s): Draw slope fields, use
slope fields to approximate
differential equations, analyze
slope fields
Guiding questions:
 What is the process for drawing
slope fields?
 What does a slope field
represent?
 How can a slope field help you
draw conclusions about the
solution of a differential
equation?
 How can you draw a particular
solution of a differential equation
on a slope field?
Activities:
 Notes slope fields
 Independent/cooperative
practice WS 8.3 Slope Fields
Closure: Explain what a slope field
represents and why it is useful.
Assignment:
 Video: Euler’s Method
CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
December 14
NISD
December 15
December 16
 Goal(s): Use Euler’s method to
approximate solutions of
differential equations
 Goal(s): apply logistic growth to
 Goal(s): review unit goals
growth models, use slope fields of
logistic equations
Guiding questions:
 What concepts of differential
Guiding questions:
equations do you currently
 How do logistic differential equations
Guiding questions:
struggle with the most?
differ from other differential
 What is the purpose of Euler’s
 What can you do to improve
equations?
method?
upon those weaknesses?
 How does the process of partial
 How can Euler’s method be used

How can you study for a test in
fractions relate to logistic equations?
to approximate a solution?
math?
 How can the carrying capacity be
 How does Euler’s method
 What plan will you follow to
found from the equation and what
compare and relate to a tangent
succeed on this test?
purpose does it serve?
 How can a solution curve to a logistic
line approximation?
equation be drawn from the
 Can you predict the outcome if
Activities:
equation?
many steps are used in Euler’s
 Warmup
 How can you determine whether a
method?
Activities:
 Warmup
 Notes Euler’s method
 Independent/cooperative
practice WS 8.4 Euler’s
Method
Closure: Compare/ contrast
Euler’s method of approximation
to the tangent line approximation.
Assignment:
 Video: Video: Logistic
Equations
 Study for quiz
curve is increasing or decreasing and
whether it has an inflection point?
 Finish going over AP Questions
if not done
Activities:
 Quiz 8.1-8.3
 Notes logistic growth
 Independent/cooperative
practice WS 8.6 Logistic
Growth
Closure: Explain the importance of
 Review & answer questions
 Independent practice-work on
logistic equations compared to
exponential growth/decay.
 Study for test
Assignment:
 Study for quiz
 Review
review
Assignment:
 Review worksheet
December 17
December 18
 Goal(s): Demonstrate
understanding of objectives on
differential equations
 Goal(s): apply unit goals to AP Free
Response questions
Guiding questions:
 What concepts of differential
Activities:
equations do you currently
 Test Unit 8 Differential
struggle in the most?
Equations
 What can you do to improve
upon those weaknesses?
Assignment:
 How do the concepts in this unit
 Video: Distance/displacement
relate to AP questions?

Activities:
 Complete ap free response
questions in pre-arranged
groups –each group gets one
question-15 minutes time
limit.
 Groups present answers to
class
Assignment:
 Review Worksheet

CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
NISD
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
January 4
January 5
January 6
January 7
January 8
Staff Development
Student Holiday
 Goal(s): review for AP
assessment and semester
exams
 Goal(s): review for AP
assessment and semester
exams
 Goal(s): review for AP
assessment and semester
exams
Guiding questions:

Guiding questions:

Guiding questions:

Activities:
Activities:
 Review free response using
 Formula Test
written semester exam review  Review free response using
 Review
written semester exam review

 Review
Closure:

Closure:
Assignment:
 Review
Assignment:
Review
Activities:
 AP MC Assessment

 Review

Closure:
Assignment:
 Review
 Goal(s): assess for AP Multiple
Choice
Guiding questions:

Activities:
Review free response using
written semester exam review
Closure: .
Assignment:
 Review for semester exam
Worksheet
CALCULUS BC LESSON PLANS
LAST REVISED 03/22/16
January 11
 Goal(s): assess & review for
semester exams
NISD
January 12
January 13
January 14
January 15
 Goal(s): assess semester goals  Goal(s): assess semester goals  Goal(s): assess semester goals  Goal(s): assess semester goals
Activities:
Activities:
Semester exams
 Free Response semester exam Other classes Free response
 Review for semester exam

Activities:
Semester exams
Other classes Free response
Assignment:
 Review packet
January 18
 Holiday

January 19
January 20
Activities:
Semester exams
Other classes Free response
Activities:
Semester exams
Other classes Free response
 Early Release
 Early Release
 End of 6 weeks
January 21
 Goal(s): solve accumulation
problems
Guiding questions:
 What is the difference in
displacement and distance
traveled?
 Based on what you know, how
would you explain the difference
in finding displacement and
distance using integration?
 How would you justify the
calculations?
Guiding questions:
Guiding questions:
Guiding questions:
 What is net change?
 What steps are used to solve
 What process is used to find the
 What does an integral mean in
population density problems?
area between two curves?
terms of accumulation?
 How are linear population
 How can changing a function to
 How can you determine the unit
density problems different from
terms of y be helpful when
for the integral of a function?
circular population density
finding the area between curves?
problems?
Activities:
 Warmup
 Notes particle motiondisplacement and distance
 Independent practice WS 9.1
Distance & Displacement
Closure: Elaborate on why the
calculation for displacement
differs from distance.
Assignment:
 Video: accumulation
Activities:
 Warmup
 Notes accumulation and
integral as net change
 Independent/cooperative
practice WS 9.2 Accumulation
Closure: Explain what an integral
means in terms of accumulation.
Assignment:
 Video: Population Density
 Goal(s): solve population density
problems
January 22
 Goal(s): find displacement and
distance
Activities:
 Quiz Displacement and
distance
 Notes population density
 Independent/cooperative
practice WS 9.3 Population
Density
Closure: Describe how to solve a
circular population density
problem.

Assignment:
Video: Area between curves
 Goal(s): Find the area between
curves
Activities:
 Warmup
 Notes area between curves
 Activity: card match
 Independent/cooperative
practice WS 9.4 Area between
curves
Closure: Explain how to find the
area between curves for problem
2.
Assignment:
 WS 9.4