Calculus AB 4th Six Weeks
Week 1, Jan 7 – 11, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal / 1 – D / 1 – D / 1 - D
CAL
C
U
L
U
S / Campus Waiver Day / District Waiver Day / II – E – 2 / II – E – 2 / II – E – 2
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
Solve applied minimum and maximum problems / Solve applied minimum and maximum problems / Quiz
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages / Text Pages / Text Pages
331-336 / Text Pages
331-336 / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Optimization / Optimization
Strategies / Strategies / Strategies / Strategies / Strategies
Use 1st and 2nd derivative to find optimized value of a function / Use 1st and 2nd derivative to find optimized value of a function / Administer quiz
Assessment / Assessment / Assessment
p. 336-341; 1-62 / Assessment
AP questions
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 4th Six Weeks
Week 2, Jan 14 – 18, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal / I-D / 1 – D / 1 – D
CAL
C
U
L
U
S / III-A-4 / III – E – 1 / III – E – 1 / II – E – 6 / II – E – 6
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
T.L.W:
Write the general solution of a differential equation
Use the indefinite integral for antiderivatives
Use the basic integration rules to find antiderivatives / T.L.W:
Write the general solution of a differential equation
Use the indefinite integral for antiderivatives
Use the basic integration rules to find antiderivatives
Find a particular solution of a differential equation / T.L.W:
Write the general solution of a differential equation
Use the indefinite integral for antiderivatives
Use the basic integration rules to find antiderivatives
Find a particular solution of a differential equation / T.L.W:
Use differential equations to draw slope fields
Use initial conditions to find particular solutions of differential equations / TEST
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
p.353-355 / Text Pages
p.355-358 / Text Pages
p. 353-358 / Text Pages
Teacher’s resources / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary
Integration
Antiderivative
Constant of Integration
Indefinite Integral / Differential equation
Separation of variables
Strategies / Strategies / Strategies / Strategies
Find the general solution of differential equations / Use the given conditions to find the particular solution for a differential equation / Use integration formulas to find the solution of differential equations involving trig functions / Use differential equations to draw slope fields
Use initial conditions to find particular solutions of differential equations / Administer test
Assessment
p. 358; 1-16,19-24 / Assessment
p. 358: 17, 18,25-77 / Assessment
p. 358: 1-62 / Assessment
Teacher’s resources / Assessment
Teacher’s resources
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 4th Six Weeks
Week 3, Jan 21 – 25
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal
CAL
C
U
L
U
S / II – E – 6 / II – E – 6 / II – E – 6 / II – E – 6 / II – E – 6
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
T.L.W:
Use initial conditions to find particular solutions of differential equations / T.L.W:
Use initial conditions to find particular solutions of differential equations / T.L.W:
Use differential equations to draw slope fields
Use initial conditions to find particular solutions of differential equations / Identify the slope field from a given differentiable equation / Quiz
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
Teacher’s resources / Text Pages
Teacher’s resources / Text Pages
Teacher’s resources / Text Pages
Teacher’s resources / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Differential equation
Separation of variables
Strategies / Strategies / Strategies / Strategies / Strategies
Solve differential equations by separating variables to determine a particular solution / Solve differential equations by separating variables to determine a particular solution / Use differential equations to draw slope fields
Use initial conditions to find particular solutions of differential equations / Use the differential equations rules to identify the graph of a given differentiable equation / Administer quiz
Assessment
Teacher’s resources / Assessment
Teacher’s resources / Assessment
Teacher’s resources / Assessment
Teacher’s resources / Assessment
Teacher’s resources
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 4th Six Weeks
Week 5 February 4 – 8, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal
CAL
C
U
L
U
S / III-A-1
IV-F / III – A - 3 / III – A - 3
III – F
III – B / III – A - 3
III – F
III – B / III – C – 1
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
T.L.W.
Approximate the area using right, left, and midpoint sum / T.L.W.
Use properties of definite integrals to evaluate definite integrals / T.L.W.
Use application of Reimann Sum
To approximate the area of a region / T.L.W.
Quiz / T.L.W.
Evaluate a definite integral using F.T.C.
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
Page 369-378 / Text Pages
Page 387-390 / Text Pages
AP resources / Text Pages / Text Pages
398-401
AP resources
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Lower sum
Upper sum
Midpoint sum / Definite integral / Reimann Sum / Fundamental Theorem of Calculus
Strategies / Strategies / Strategies / Strategies / Strategies
Approximate the area of a plane region / Evaluate definite integral / Use application of Reimann Sum
To approximate the area of a region / Administer quiz / Evaluate a definite integral using = f(b) – f (a)
Assessment
Page 378
#s 1 – 16
Teacher’s resources / Assessment
Page 392
#s 41-60 / Assessment
AP resources / Assessment
Teacher’s resources / Assessment
Page 402
# 19-42
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 4th Six Weeks
Week 6 February 11 – 15, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal
CAL
C
U
L
U
S / II – C – 3 / II – C – 3 / II – C – 3
III – C – 1 / III – C – 1
III – C – 2 / III – C – 1
III – C – 2
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
T.L.W.
Understand and use M.V.T. for Integral / T.L.W.
Apply M.V.T. / T.L.W.
Test / T.L.W.
Understand and use
2nd Fundamental theorem of Calculus / T.L.W.
Quiz
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
p. 464-466
AP resources / Text Pages
AP resources / Text Pages / Text Pages
396-398 / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Mean Value Theorem / 2nd Fundamental theorem of Calculus
Strategies / Strategies / Strategies / Strategies / Strategies
Understand and use M.V.T.
To find the area under the curve. / Use M.V.T. in application problems / Administer test / Explain and prove the 2nd Fundamental theorem of Calculus / Administer quiz
Assessment
Pg. 467, 1-22
AP resources / Assessment
AP resources / Assessment
Teacher’s resources / Assessment
Page 402
7-18
AP resources / Assessment
Teacher’s resources
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks
Week 1 February 18 – 22, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal
C
A
L
C
U
L
U
S
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
TLW review AP problems
(TAKS week) / TLW review AP problems
(TAKS week) / TLW review AP problems
(TAKS week) / TLW review AP problems
(TAKS week) / TLW review AP problems
(TAKS week)
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Teacher resources / Teacher resources / Teacher resources / Teacher resources / Teacher resources
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Strategies / Strategies / Strategies / Strategies / Strategies
Assessment / Assessment / Assessment / Assessment / Assessment
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks
Week 2 February 25 – 29, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal
CAL
C
U
L
U
S / III B / III B
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
TLW review AP problems / Benchmark test / TLW find the average value of a function over a closed interval / TLW find the average value of a function over a closed interval
Early Dismissal / Charro Days
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Teacher resources / Text Pages / Text Pages
464-466 / Text Pages
464-466
Vocabulary / Vocabulary / Vocabulary / Vocabulary
Closed interval
Average value of a function / Closed interval
Average value of a function
Strategies / Strategies / Strategies / Strategies
Applications of MVT / Applications of MVT
Assessment / Assessment / Assessment
Pg 467, 1-22 / Assessment
Pg 467, 1-22
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks
Week 3 March 3 – 7, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal / 1 C
CAL
C
U
L
U
S / III D-2 / III D - 2 / III - F
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
TLW use pattern recognition to find an indefinite integral
TLW use a change of variable to find an indefinite integral
TLW use the general power rule for integration to find an indefinite integral / TLW use a change of variable to evaluate a definite integral
TLW evaluate a definite integral involving an even or odd function / TLW review and administer quiz / TLW approximate a definite integral using the trapezoidal rule
TLW approximate using the trapezoidal rule in various application situations / TLW administer test
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
414-417 / Text Pages
417-420 / Text Pages / Text Pages
519
Teacher resources / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Integration by substitution
Change of variables / Integration of an even or odd function / Numerical integration
Trapezoidal rule
Strategies / Strategies / Strategies / Strategies / Strategies
Integration by pattern recognition and change of variables / Determine the limits of integration for the variable u / Review and administer quiz / Apply trapezoidal rule to real life situations
Use the trapezoidal rule to approximate the area under the curve / Administer test
Assessment
Pg 420, 1-48 / Assessment
Pg 421: 49-77 / Assessment
Quiz / Assessment
Pg 527, 1-18 / Assessment
Test
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks
Week 4 March 17 – 21, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal / D.1A, 2C, 3C / 1A, 2C, 3C / 2B
CAL
C
U
L
U
S / III D – 1 / III D - 1
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
TLW develop and use properties of the natural logarithmic function
Understand the definition of the number e / TLW use the log rule for integration to integrate a natural function
Integrate trigonometric functions / TLW verify that one function is the inverse function of another function
TLW determine whether a function has an inverse / TLW administer quiz / Easter
Break
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
422-429 / Text Pages
400 / Text Pages
63-67 / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
The number e
Natural logarithmic function / Log rule
Long division
Integrals of trig functions / Inverse function
One-to-one function
Strategies / Strategies / Strategies / Strategies / Strategies
Review properties of natural logarithms. / Use log rule for integration
Use long division to integrate / Review guidelines to find an inverse function / Administer quiz
Assessment
Pg 75, 33-54 / Assessment
Teacher resources / Assessment
pg 74, 1-32 / Assessment
Quiz / Assessment
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks
Week 5 March 24 – 28, 2008
Monday / Tuesday / Wednesday / Thursday / FridayPre Cal / 2B / 2B / 1A, 2B, 3B
CAL
C
U
L
U
S / III D - 1 / III D - 1
Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations / Learner Expectations
Easter Break / TLW find the derivative of an inverse function / TLW apply the derivative of an inverse function / TLW develop properties of the six inverse trigonometric functions / Review and administer quiz
Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources / Suggested Resources
Text Pages
Teacher Resources / Text Pages
Teacher resources / Text Pages
72-74 / Text Pages
Vocabulary / Vocabulary / Vocabulary / Vocabulary / Vocabulary
Derivative of an inverse function
Reciprocal slopes / Inverse trigonometric function
Strategies / Strategies / Strategies / Strategies / Strategies
Evaluate the derivative of an inverse / Apply the derivative to solve AP problems / Use inverse properties to solve equations
Assessment / Assessment
Pg 235, 67,68 / Assessment
Teacher resources / Assessment
Pg 77, 63-77 / Assessment
Quiz
Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions / Scaffolding Questions
Calculus AB 5th Six Weeks