Calculus AB First Six Weeks

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Monday
Tuesday
1C
Calculus AB First Six Weeks
Week 1 8/27/07 to 8/31/07
Wednesday
1D
Pre
- Cal
CA
L
1A
Learner Expectations
T.L.W:
Orientation
Class rules
Course expectations and
requirements.
Suggested Resources
Text Pages
1A
Learner Expectations
T.L.W:
Sketch the graph of an equation.
Find the intercepts of a graph.
Find the points of intersection of
two graphs.
Interpret mathematical models for
real –life data.
Suggested Resources
Text Pages
17 – 22
Vocabulary
Strategies
Assessment
Vocabulary
Functions.
Intercepts
Strategies
Analyze graph sketched both
manually and with calculator.
Finding points of intersection by
solving equations algebraically,
and graphically.
Assessment
23
1 – 16
27 – 30
52 - 66
Scaffolding Questions
Pages
Problems
Scaffolding Questions
Learner Expectations
T.L.W:
Find the slope of a line passing
through two points.
Write the equation of a line with a
given point and slope.
Interpret slope as a ratio or as a
rate of change in real –life
application.
Write equations of lines that are
parallel or perpendicular to a
given line.
Thursday
1A,B
2A,B
1A
1A
Learner Expectations
T.L.W:
Use function notation to represent
and evaluate a function.
Find domain and range of a
function.
Sketch the graph of a function.
Identify different types of
transformations of functions.
Suggested Resources
Text Pages
25 – 30
Suggested Resources
Text Pages
34 – 41
Vocabulary
Slope, Rate of change, Parallel,
Perpendicular.
Vocabulary
Parent Graph, Domain, Range,
Interval notation.
Strategies
Find slope of a line when given
two points.
Find equation of a line from
two points or one point and a
slope.
Discuss slope-intercept, and
standard form of an equation for a
line.
Relate slope to a rate of change
and its applications.
Strategies
Identify domain and range of a
function in both interval form and
set notation form.
Sketch parent graphs and
perform transformations.
Assessment
Pages
23 – 24
Problems 53 – 56
Pages
31
Problems 1 – 54
Scaffolding Questions
Friday
1A,B
2A,B
Pages
Problems
Assessment
42
1 – 42
Scaffolding Questions
Learner Expectations
T.L.W:
Classify functions and recognize
combinations of functions.
Test a graph for symmetry with
respect to an axis and the origin.
Suggested Resources
Text Pages
20 – 21
40 – 41
Vocabulary
Symmetry, Odd and Even
function
Strategies
Find composite and inverse
functions.
Recognize Even and Odd
functions.
Discuss tests for symmetry with
respect to axis and Origin.
Use properties of Odd, Even, and
Inverse function to complete the
graph of a function.
Assessment
Pages
23
Problems 17 – 26
Pages
43
Problems 53 – 56
Scaffolding Questions
Monday
2C, 3A
Tuesday
2C, 3A
Calculus AB First Six Weeks
Week 2 9/3/07 to 9/7/07
Wednesday
1A,B,C,D
Pre
Cal
1A
1A
1A
Thursday
1A,B,C,D
2A,B,C, 3A
1A
Friday
1A,B,C,D
2A,B,C, 3A
1A
CA
LC
Learner Expectations
T.L.W:
Review trigonometric identities.
Solve special right triangles.
Learner Expectations
T.L.W:
Graph trig. Functions.
Solve trig. Functions.
Learner Expectations
T.L.W:
Quiz over algebra review
Suggested Resources
Text Pages 45 – 52
Suggested Resources
Text Pages
45 – 52
Suggested Resources
Text Pages
Hand outs
Vocabulary
Standard position, Co terminal,
Special right triangles, Identities,
Period, Amplitude.
Strategies
Review basic trigonometric
identities including sum,
difference, double, and half
angles.
Review graphing of trig.
functions including reciprocal,
quotient, and Pythagoras.
Evaluate exact value of a trig.
Function using special right
triangle.
Solving trigonometric functions
algebraically and graphically.
Assessment
Page
53
Problems 13 – 46
Scaffolding Questions
Vocabulary
Strategies
Sketch all six trig. Function in
[ – 2 , 2 
Use graphing calculator to graph
trig. Functions.
Use special right triangle to solve
trig. Function.
Use graphing calculator to find
zeros of trig. Functions.
Assessment
Page
55
Problems 51 – 77
Scaffolding Questions
Vocabulary
Strategies
Answer student’s questions.
Learner Expectations
T.L.W:
Review last two weeks objectives
Suggested Resources
Text Pages
Hand outs
Vocabulary
Strategies
Answer student’s questions.
Assessment
Assessment
Scaffolding Questions
Scaffolding Questions
Learner Expectations
T.L.W:
Major assessment.
Chapter review test.
Suggested Resources
Text Pages
Hand outs
Vocabulary
Strategies
Assessment
Scaffolding Questions
Monday
Holiday
Tuesday
1D
Calculus AB First Six Weeks
Week 3 9/10/07 to 9/14/07
Wednesday
1D
Thursday
Friday
1D, 1E
Pre
-Cal
I–B–1
I–B–2
I–B–2
I–B–3
CA
LC
Learner Expectations
Holiday
Learner Expectations
T.L.W:
Estimate a limit using a
numerical or graphical approach
Learner Expectations
T.L.W:
Evaluate a limit using properties
of limits
Learn different ways that a limit
can fail to exist
I – B – 1, 2, 3
Learner Expectations
T.L.W:
Develop and use a strategy for
finding limits
Learner Expectations
T.L.W:
Evaluate a limit using properties
of limits
Evaluate a limit using dividing
out and rationalizing techniques
Develop and use a strategy for
finding limits
Evaluate a limit using dividing
out and rationalizing techniques
Suggested Resources
Text Pages
Suggested Resources
Text Pages
61-65
Vocabulary
Vocabulary
Limit
Strategies
Strategies
Find limits of functions through
table (as x approaches a value)
and graphically
Suggested Resources
Text Pages
70-74
Suggested Resources
Text Pages
76-79
Vocabulary
Scalar multiple
Vocabulary
Rationalization
Strategies
Find limits of function by
direct substitution
Strategies
Find limits by using algebra to
get equivalent expressions for
which limits are defined
Assessment
Assessment
p. 68: 1-18, 35, 36
Assessment
p.74: 1-34
Assessment
p. 82: 1-24
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Suggested Resources
Text Pages
Various AP questions from past
tests and other resources.
Vocabulary
Strategies
Quiz students over objectives
covered up to date over limits
Assessment
Teacher made quiz
Scaffolding Questions
Monday
Pre
Cal
CALC
Tuesday
1–D
1–D
I–B–1
I–B–2
I – B – 1, 2
Learner Expectations
T.L.W:
Evaluate a limit using properties
of limits
Calculus AB First Six Weeks
Week 4 9/17/07 to 9/21/07
Wednesday
1–D
I – B – 1, 2
Learner Expectations
T.L.W:
Evaluate a limit using the squeeze
theorem
Learner Expectations
T.L.W:
Evaluate a limit using properties
of limits
Develop and use a strategy for
finding limits
Develop and use a strategy for
finding limits
Evaluate a limit using dividing
out and rationalizing techniques
Evaluate a limit using dividing
out and rationalizing techniques
Thursday
1–D
E
B–2
C–3
I – B – 1, 2
Friday
1-D
I–D–3
Learner Expectations
T.L.W:
Review all objectives covered to
date
Learner Expectations
T.L.W:
Determine one-sided limits and
continuity on a closed interval
Suggested Resources
Text Pages
Various AP questions from
tests
Suggested Resources
Text Pages
86-87
Evaluate a limit using the squeeze
theorem
Suggested Resources
Text Pages
Vocabulary
Strategies
Correct Friday’s quiz, review
concepts of limits that were not
mastered
Suggested Resources
Text Pages
80-81
Vocabulary
Squeeze theorem
Strategies
Find limit as x approaches 0 of
sin x/x by applying squeeze
theorem
Suggested Resources
Text Pages
81-83
Vocabulary
Strategies
Review more trig concepts to
help find limits involving trig
functions.
Vocabulary
Strategies
Test students on objectives
covered up to this point
Vocabulary
One sided limits
Strategies
Find one sided limits using
previous objectives
Find all limits of a piece-wise.
Assessment
Oral evaluation
Assessment
p.82: 25-40
Scaffolding Questions
Scaffolding Questions
Review all function objectives on
limits covered to date.
Assessment
p.83: 43-48, 51-52
Scaffolding Questions
Assessment
Teacher made test
Scaffolding Questions
Assessment
p.92: 1-13
Scaffolding Questions
Monday
1–E
Tuesday
1–E
Pre
Cal
CALC
I–B–1
I–B–2
Calculus AB First Six Weeks
Week 5 9/24/07 to 9/28/07
Wednesday
1–E
2–B
I – D – 1, 2
Learner Expectations
T.L.W:
Determine continuity at a point
and continuity on an open interval
I – D – 1, 2
Learner Expectations
T.L.W:
Use properties of continuity
Determine one-sided limits and
continuity on a closed interval
Learner Expectations
T.L.W:
Determine continuity at a point
and continuity on an open interval
Thursday
Friday
1–E
2–B
1–E
3–C
I–D–3
I – D – 1, 2, 3
Learner Expectations
T.L.W:
Understand and use the
intermediate value theorem
Learner Expectations
T.L.W:
Determine continuity at a point
and continuity on an open interval
Determine one-sided limits and
continuity on a closed interval
Determine one-sided limits and
continuity on a closed interval
Use properties of continuity
Use properties of continuity
Understand and use the
intermediate value theorem
Suggested Resources
Text Pages
84-85
Suggested Resources
Text Pages
86-88
Suggested Resources
Text Pages
89-90
Vocabulary
Removable and non removable
discontinuities
Vocabulary
Removable and non removable
discontinuities
Vocabulary
Removable and non removable
discontinuities
Strategies
Discuss limits of functions by
examining functions graphically
Strategies
Discuss continuity of functions
by examining functions
graphically
Strategies
Use various methods to find
limits of functions including onesided and non-existent.
Suggested Resources
Text Pages
91-92
Vocabulary
Mean value theorem
Strategies
Discuss intermediate value
theorem and give applications
Assessment
p.93: 14-26
Assessment
p.93: 27-46
Assessment
p.93: 49-50
Assessment
p.93: 67-74
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Suggested Resources
Text Pages
Quiz
Vocabulary
Strategies
Give quiz over concepts covered
up to this point.
Assessment
Quiz
Scaffolding Questions
Monday
1–E
Tuesday
1–E
Calculus AB First Six Weeks
Week 6 10/1/07 to 10/5/07
Wednesday
1–E
Thursday
1–E
Pre
Cal
I – C – 1, 2
I – C – 1, 2
I–B
I – C – 1, 2
CALC
Learner Expectations
T.L.W:
Determine infinite limits from
the left and from the right
Find and sketch the vertical
asymptotes of the graph of a
function
Learner Expectations
T.L.W:
Determine finite limits at infinity
Determine the horizontal
asymptotes, if any, of the graph
of a function
Vocabulary
Vertical asymptote
Strategies
Relate infinite limits to vertical
asymptote
Suggested Resources
Text Pages
198-201
Vocabulary
Horizontal asymptote
Strategies
Find limits as x approaches
infinity and relate to horizontal
asymptote
I–B
I – C – 1, 2
I – B, C, D
Learner Expectations
T.L.W:
Determine infinite limits from
the left and from the right
Learner Expectations
T.L.W:
Determine infinite limits
from the left and from the right
Learner Expectations
T.L.W:
Determine infinite limits from
the left and from the right
Find and sketch the vertical
asymptotes of the graph of a
function
Find and sketch the vertical
asymptotes of the graph of a
function
Find and sketch the vertical
asymptotes of the graph of a
function
Determine finite limits at infinity
Determine finite limits at
infinity
Determine finite limits at infinity
Determine the horizontal
asymptotes, if any, of the graph
of a function
Suggested Resources
Text Pages
96-100
Friday
1–E
1–D
Suggested Resources
Text Pages
102-103
Vocabulary
Strategies
Review all methods of finding
limits discussing continuity,
finding vertical and horizontal
asymptotes
Determine the horizontal
asymptotes, if any, of the graph
of a function
Suggested Resources
Text Pages
Test
Determine the horizontal
asymptotes, if any, of the graph of
a function
Suggested Resources
Text Pages
Test
Vocabulary
Strategies
6 week test
Assessment
p.101: 9-42
Assessment
p.203: 1-30
Assessment
p.102: 1-40
Assessment
Test
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Vocabulary
Strategies
6 week test
Assessment
Test
Scaffolding Questions
Monday
Pre
Cal
CALC
Tuesday
Calculus AB Second Six Weeks
Week 7 10/8/07 to 10/12/07
Wednesday
1–E
Thursday
1–E
II – A – 1
II – A – 3
II – A – 2
II – A – 4
Learner Expectations
T.L.W:
Find the slope of the tangent line
to a curve at a point
Learner Expectations
T.L.W:
Find the slope of the tangent line
to a curve at a point
Learner Expectations
T.L.W:
Find the slope of the tangent line
to a curve at a point
Learner Expectations
T.L.W:
Find the slope of the tangent line
to a curve at a point
Learner Expectations
T.L.W:
Find the derivative of a function
using the constant rule.
Use the limit definition to find the
derivative of a function
Use the limit definition to find the
derivative of a function
Use the limit definition to find the
derivative of a function
Use the limit definition to find the
derivative of a function
Find the derivative of a function
using the power rule.
Understand the relationship
between differentiability and
continuity
Understand the relationship
between differentiability and
continuity
Understand the relationship
between differentiability and
continuity
Find the derivative of a function
using the sum and difference rule.
Suggested Resources
Text Pages
110-112
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Teacher made test
Suggested Resources
Text Pages
105-110
Vocabulary
Secant line
Tangent line
Derivative
Rate of change
Strategies
Find slopes of secant lines then
relate to slope of tangent line
using limits
II – A – 1, 2, 3, 4
Vocabulary
Differentiability
Differentiable
Differentiation
Strategies
Discuss derivatives of functions
with sharp turns, vertical tangent
lines, and discontinuities
Vocabulary
Instantaneous rate of change
Strategies
Answer questions.
1–E
Friday
1–E
1–E
II – A – 1, 2, 3, 4
Vocabulary
Strategies
Administer test over intro to
derivatives
Incorporate calculators to discuss
continuity and differentiability
Define the derivative of a
function
II – A – 1
Suggested Resources
Text Pages
115-117
Vocabulary
Constant rule
Power rule
Sum and difference rules
Strategies
Demonstrate constant rule, basic
power rule, and sum/difference
rules.
Have students relate back to
definition of a limit with limits to
compare answers with rules.
Assessment
p.112: 1-16
Assessment
p.113: 17-32
Assessment
p.114: 39-65
Assessment
Test
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Assessment
p.123: 1-12, 17-28
Scaffolding Questions
Pre
Cal
Monday
Professional
Development
Day
Tuesday
2–B
Calculus AB Second Six Weeks
Week 8 10/15/07 to 10/19/07
Wednesday
2 – B, 2 – C
II – A – 1
II – F – 1, 2
CALC
Learner Expectations
Professional development day
Learner Expectations
T.L.W:
Find the derivatives of the sine
and cosine function
II – A – 2
II – B – 1, 2
II – F – 1, 2
Learner Expectations
T.L.W:
Use derivatives to find rates of
change
Thursday
2 – B, 2 – C
II – A – 2
II – B – 1, 2
II – F – 1, 2
Learner Expectations
T.L.W:
Use derivatives to find rates of
change
Friday
2 – B, 2 - C
II – A – 2
II – B – 1, 2
II – F – 1, 2
Learner Expectations
T.L.W:
Find the slope of the tangent line
to a curve at a point
Use the limit definition to find the
derivative of a function
Understand the relationship
between differentiability and
continuity
Find the derivatives of the sine
and cosine functions
Suggested Resources
Text Pages
Vocabulary
Suggested Resources
Text Pages
p. 120
Vocabulary
Strategies
Strategies
Derive formulas for derivatives of
sine and cosine and apply to
various functions
Assessment
Assessment
p.123: 13-16, 29, 30, 41, 47
Scaffolding Questions
Scaffolding Questions
Suggested Resources
Text Pages
p. 121
Vocabulary
Linear approximations
Strategies
Find equation of tangent and
normal lines, points with
horizontal tangent lines, apply
linear approximations
Assessment
p.124:43-59
Scaffolding Questions
Suggested Resources
Text Pages
p. 121
Vocabulary
Average rate of change
Strategies
Compare average rate of
change to instantaneous rate of
change
Assessment
p.124: 61-70
p.126: 81-88
Scaffolding Questions
Use derivatives to find rates of
change
Suggested Resources
Text Pages
Quiz
Vocabulary
Strategies
Administer quiz
Assessment
Quiz
Scaffolding Questions
Monday
Pre
Cal
1–D
1–E
II – E – 5
CALC
Learner Expectations
T.L.W:
Use derivatives to find rates of
change
Suggested Resources
Text Pages
p.122
Vocabulary
Calculus AB Second Six Weeks
Week 9 10/22/07 to 10/26/07
Tuesday
Wednesday
1–D
1–D
1–E
1–E
2–B
2–B
II – A – 2
II – A – 2
II – B – 1
II – B – 1
II – C – 2
II – C – 2
II – E – 5
II – E – 5
II – F – 1, 2
II – F – 1, 2
Learner Expectations
Learner Expectations
T.L.W:
T.L.W:
Find the slope of the tangent line
Find the slope of the tangent line
to a curve at a point
to a curve at a point
Use the limit definition to find the
derivative of a function
Use the limit definition to find the
derivative of a function
Understand the relationship
between differentiability and
continuity
Understand the relationship
between differentiability and
continuity
Find the derivatives of the sine
and cosine functions
Find the derivatives of the sine
and cosine functions
Use derivatives to find rates of
change
Suggested Resources
Text Pages
p.161
Use derivatives to find rates of
change
Suggested Resources
Text Pages
Vocabulary
Vocabulary
Free fall
Strategies
Discuss free fall formula and
apply to various situations (metric
and customary)
Assessment
p.125: 71-79
Scaffolding Questions
Strategies
Review all concepts of
differentiation up to this point
Assessment
Oral evaluation
Scaffolding Questions
Strategies
Administer test
Assessment
Teacher made test
Scaffolding Questions
Thursday
Friday
2–B
1
II – F – 2
II – F – 1, 2
Learner Expectations
T.L.W:
Find the derivative of functions
using the product and quotient
rules
Learner Expectations
T.L.W:
Find the derivative of functions
using the product and quotient
rules
Find the derivative of
trigonometric functions
Suggested Resources
Text Pages
p.127-130
Suggested Resources
Text Pages
p.131-132
Vocabulary
Product and quotient rules
Vocabulary
Secant, cosecant, tangent,
cotangent
Strategies
Use rules to find derivatives of
trig functions other than sine and
cosine with product and quotient
rules
Strategies
Use quotient and product rule
to find derivatives
Assessment
p.134: 1-20
Scaffolding Questions
Assessment
p.134: 21-56
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 10 10/29/07 to 11/2/07
Wednesday
Thursday
Friday
Pre
Cal
II – F – 1
II – F – 3
Learner Expectations
T.L.W:
Find the derivative using the
general power rule
Learner Expectations
T.L.W:
Find the derivative of a function
using the chain rule
Simplify the derivative of a
function using algebra
Simplify the derivative of a
function using algebra
II – F – 1, 3
II – F – 1, 3
II – F – 1, 3
CALC
Suggested Resources
Text Pages
139-141
Vocabulary
General power rule
Strategies
Find the derivative of functions of
the form y = (f(x))n
Suggested Resources
Text Pages
137-138
Vocabulary
Chain rule
Strategies
Find the derivative of functions
using the chain rule
Learner Expectations
T.L.W:
Find the derivative of
trigonometric functions using the
chain rule
Simplify the derivative of a
function using algebra
Suggested Resources
Text Pages
142
Vocabulary
Strategies
Find the derivatives of functions
of higher power trig functions
Learner Expectations
T.L.W:
Find the derivative using the
general power rule
Learner Expectations
T.L.W:
Find the derivative using the
general power rule
Simplify the derivative of a
function using algebra
Simplify the derivative of a
function using algebra
Find the derivative of a function
using the chain rule
Find the derivative of a function
using the chain rule
Find the derivative of
trigonometric functions using the
chain rule
Find the derivative of
trigonometric functions using the
chain rule
Suggested Resources
Text Pages
137-142
Suggested Resources
Text Pages
137-142
Vocabulary
Strategies
Use the chain to find rate of
change in application problems
Vocabulary
Strategies
Teacher made quiz on general
power rule, chain rule, and trig
rules
Quiz on product and quotient
rules and trig derivatives
Assessment
p.143: 7-30
Quiz
Scaffolding Questions
Assessment
p.144: 53-62
Scaffolding Questions
Assessment
p.143: 1-6
p.144: 39-52
Scaffolding Questions
Assessment
p.145: 79-91
Scaffolding Questions
Assessment
Quiz
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 11 11/5/07 to 11/9/07
Wednesday
Thursday
Friday
Pre
Cal
II – F – 3
II – F – 1, 2, 3
Learner Expectations
T.L.W:
Distinguish between
functions written in implicit
form and explicit form
Learner Expectations
T.L.W:
Distinguish between
functions written in implicit
form and explicit form
Use implicit differentiation
for find the derivative of a
function
Use implicit differentiation
for find the derivative of a
function
Suggested Resources
Text Pages
146-149
Suggested Resources
Text Pages
150
II – F – 1, 2, 3
II – F – 1, 2, 3
CALC
Vocabulary
Implicit functions
Strategies
Discuss differences between
implicit and explicit functions
Vocabulary
Strategies
Find 2nd derivatives implicitly
being sure to substitute y into
the first derivative
Learner Expectations
T.L.W:
Review all derivative rules
covered up to this point
Learner Expectations
T.L.W:
Administer test
II – E – 3
II – E – 5
Learner Expectations
T.L.W:
Find a related rate
Use related rates to solve real
life problems
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Vocabulary
Strategies
Review all derivative rules
covered up to this point
Vocabulary
Strategies
Administer test
Suggested Resources
Text Pages
153-156
Vocabulary
Related rate
Strategies
Find rate of change of
functions with 2 or more
variables
Find derivatives implicitly
Assessment
p.151: 1-34
Scaffolding Questions
Assessment
p.151: 35-52
Scaffolding Questions
Assessment
Assessment
Test
Scaffolding Questions
Scaffolding Questions
Assessment
p.158: 11-21
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 12 11/12/07 to 11/16/07
Wednesday
Thursday
Friday
Pre
Cal
CALC
II – E – 3
II – E – 5
II – F – 1, 2
I–D–3
Learner Expectations
T.L.W:
Find a related rate
Learner Expectations
T.L.W:
Develop and use properties of the
natural logarithmic function
Learner Expectations
T.L.W:
Develop properties of the natural
exponential function
Find derivatives of functions
involving the natural logarithmic
function
Differentiate natural exponential
functions
Use related rates to solve real life
problems
Suggested Resources
Text Pages
153-156
Vocabulary
Strategies
Find rate of change of functions
with 2 or more variables
Assessment
p.159: 22-46
Scaffolding Questions
Suggested Resources
Text Pages
317-323
Vocabulary
Natural logarithm
II – F – 1, 2
I–D–3
Suggested Resources
Text Pages
344-347
Learner Expectations
T.L.W:
Answer questions and review
related rates and natural
logarithmic and exponential
functions
Suggested Resources
Text Pages
Vocabulary
Natural exponential
Strategies
Review properties of natural logs
Strategies
Review properties of exponents
Find derivative of functions
involving natural logarithm
Find derivative of functions
involving eu
Assessment
p.324: 13-66, 77-85
Assessment
p.350: 1-52
Scaffolding Questions
II – E – 3
II – F – 1,2
Scaffolding Questions
II – E – 3
II – F – 1, 2
Learner Expectations
T.L.W:
Review and administer quiz
Suggested Resources
Text Pages
Vocabulary
Strategies
Vocabulary
Review
Strategies
Review and administer quiz
Assessment
Oral evaluation
Quiz
Scaffolding Questions
Assessment
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 13 11/19/07 to 11/23/07
Wednesday
Thursday
Friday
Pre
Cal
Benchmark
Benchmark
Learner Expectations
T.L.W:
Benchmark
Learner Expectations
T.L.W:
Benchmark
II – C – 2
II – C – 2
CALC
Suggested Resources
Text Pages
Vocabulary
Strategies
Benchmark
Assessment
Benchmark
Scaffolding Questions
Suggested Resources
Text Pages
Vocabulary
Strategies
Benchmark
Assessment
Benchmark
Scaffolding Questions
Learner Expectations
T.L.W:
Understand the definition of
extrema of a function on an
interval
Learner Expectations
T.L.W:
Understand the definition of
extrema of a function on an
interval
Understand the definition of
relative extrema of a function
on an open interval
Understand the definition of
relative extrema of a function
on an open interval
Find the extrema on a clased
interval
Find the extrema on a clased
interval
Determine intervals on which
a function is increasing or
decreasing
Determine intervals on which
a function is increasing or
decreasing
Apply the first derivative test
Apply the first derivative test
to find relative extrema of a
to find relative extrema of a
function
function
Suggested Resources
Suggested Resources
Text Pages
Text Pages
165-169
165-16179-185
179-185
Vocabulary
Vocabulary
Extrema
Increasing
Absolute minimum
Decreasing
Absolute maximum
Critical values
Relative minimum
First derivative test
Relative maximum
Strategies
Find maximum and minimum
(absolute and relative) on
open and closed intervals via
the first derivative
Assessment
p.170: 1-38
Scaffolding Questions
Strategies
Find maximum and
minimum (absolute and
relative) on open and closed
intervals via the first
derivative
Assessment
p.186: 1-56
Scaffolding Questions
II – D – 2,3
II – E – 1
Learner Expectations
T.L.W:
Determine intervals on which
a function is concave upward
or concave downward
Find any points of inflection
of the graph of a function
Apply the second derivative
test to find relative extrema of
a function
Suggested Resources
Text Pages
189-193
Vocabulary
Concavity
Inflection point
Second derivative test
Strategies
Find intervals of cancavity
and points of inflection on
open and closed intervals via
the second derivative
Assessment
p.194: 1-66
Scaffolding Questions
Monday
Pre
Cal
CALC
1–D
Tuesday
Calculus AB Second Six Weeks
Week 14 11/26/07 to 11/30/07
Wednesday
Thursday
Friday
1–D
II – C – 1, 2
II – C – 1, 2
II – D – 1, 2, 3
II – D – 1, 2, 3
II – E – 1
II – E – 1
Learner Expectations
Learner Expectations
T.L.W:
Understand the definition of extrema of a function on an
interval
Learner Expectations
Thanksgiving
Learner Expectations
Thanksgiving
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Learner Expectations
Thanksgiving
Understand the definition of relative extrema of a function on
an open interval
Find the extrema on a clased interval
Determine intervals on which a function is increasing or
decreasing
Apply the first derivative test to find relative extrema of a
function
Determine intervals on which a function is concave upward or
concave downward
Find any points of inflection of the graph of a function
Apply the second derivative test to find relative extrema of a
function
Quiz on Tuesday
Suggested Resources
Text Pages
AP released tests
Vocabulary
Strategies
Use first and second
derivative to analyze the
graphs of f, f’. and f’’
Assessment
AP released tests
Scaffolding Questions
Suggested Resources
Text Pages
AP released tests
Vocabulary
Strategies
Use first and second
derivative to analyze the
graphs of f, f’. and f’’
Assessment
AP released tests
Quiz
Scaffolding Questions
Suggested Resources
Text Pages
Vocabulary
Vocabulary
Vocabulary
Strategies
Strategies
Strategies
Assessment
Assessment
Assessment
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Monday
PreCa
l
CALC
1–D
II – C – 1, 2
II – D – 1, 2, 3
Learner Expectations
T.L.W:
Understand the definition of
extrema of a function on an
interval
Understand the definition of
relative extrema of a function on
an open interval
Tuesday
1–D
II – C – 3
Calculus AB Second Six Weeks
Week 15 12/3/07 to 12/7/07
Wednesday
1–D
1–D
II – C – 3
Learner Expectations
T.L.W:
Understand and use Rolle’s
Theorem
Learner Expectations
T.L.W:
Understand and use Rolle’s
Theorem
Understand and use the Mean
Value Theorem
Understand and use the Mean
Value Theorem
Thursday
II – E – 2
Learner Expectations
T.L.W:
Quiz
Friday
1-D
II – E – 2
Learner Expectations
T.L.W:
Solve applied minimum and
maximum problems
Solve applied minimum and
maximum problems
Find the extrema on a clased
interval
Determine intervals on which a
function is increasing or
decreasing
Apply the first derivative test to
find relative extrema of a
function
Determine intervals on which a
function is concave upward or
concave downward
Find any points of inflection of
the graph of a function
Apply the second derivative test
to find relative extrema of a
function
Suggested Resources
Text Pages
AP released test
Vocabulary
Strategies
Use graph of f’(x) to graph
f(x)
Use information about f’ and
f’’ to graph f
Assessment
AP released test
Scaffolding Questions
Suggested Resources
Text Pages
173-174
Vocabulary
Rolle’s Theorem
Strategies
Understand and apply Rolle’s
Theorem in application
problems
Assessment
p.: 1-24
Scaffolding Questions
Suggested Resources
Text Pages
175-176
Vocabulary
Mean Value Theorem
Suggested Resources
Text Pages
213-218
Vocabulary
Optimization
Strategies
Understand and apply MVT
in application problems
Strategies
Use 1st and 2nd derivative
to find optimized value of a
function
Assessment
p.177: 25, 57
Scaffolding Questions
Assessment
p. 218: 1, 17
Scaffolding Questions
Suggested Resources
Text Pages
213-218
Vocabulary
Optimization
Strategies
Use 1st and 2nd derivative to
find optimized value of a
function
Assessment
Scaffolding Questions
Monday
Pre
Cal
1–D
Tuesday
1–D
II – E – 2
Calculus AB Second Six Weeks
Week 16 12/10/07 to 12/14/07
Wednesday
1–D
1–D
III – A – 4
Thursday
Friday
1–D
III – E – 1
III – E - 1
CALC
Learner Expectations
T.L.W:
Solve applied minimum and
maximum problems
Suggested Resources
Text Pages
213-218
Learner Expectations
T.L.W:
Test
Suggested Resources
Text Pages
Vocabulary
Strategies
Optimize real world situation
Assessment
p.219: 18, 33
Scaffolding Questions
Vocabulary
Strategies
Administer test
Assessment
Test
Scaffolding Questions
Learner Expectations
T.L.W:
Write the general solution of a
differential equation
Learner Expectations
T.L.W:
Write the general solution of
a differential equation
Learner Expectations
T.L.W:
Write the general solution of
a differential equation
Use the indefinite integral for
antiderivatives
Use the indefinite integral for
antiderivatives
Use the indefinite integral for
antiderivatives
Use the basic integration rules
to find antiderivatives
Use the basic integration
rules to find antiderivatives
Use the basic integration
rules to find antiderivatives
Find a particular solution of a
differential equation
Find a particular solution of a
differential equation
Suggested Resources
Text Pages
249-253
Vocabulary
Integration
Antiderivative
Constant of integration
Indefinite integral
Strategies
Find the general solution of
differential equations
Assessment
p.256: 1-26
Scaffolding Questions
Suggested Resources
Text Pages
p.254-255
Vocabulary
Strategies
Use the given conditions to
find the particular solution for
a differential equation
Assessment
p.257: 41, 42, 44, 60
Scaffolding Questions
Suggested Resources
Text Pages
p.251
Vocabulary
Strategies
Use integration formulas to
find the solution of
differential equations
involving trig functions
Assessment
p.256: 27, 35, 43, 48
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 17 12/17/07 to 12/21/07
Wednesday
Thursday
Friday
Pre
Cal
CALC
III – A – 4
III – E – 1
III – E - 1
Learner Expectations
T.L.W:
Test
II – E – 6
Learner Expectations
T.L.W:
Use differential equations to
draw slope fields
II – E – 6
II – E – 6
Learner Expectations
T.L.W:
Use initial conditions to find
particular solutions of
differential equations
Learner Expectations
T.L.W:
Use initial conditions to find
particular solutions of
differential equations
Suggested Resources
Text Pages
Teacher’s resources
Suggested Resources
Text Pages
Teacher’s resources
II – E – 6
Learner Expectations
T.L.W:
Quiz
Review for final
Use initial conditions to find
particular solutions of
differential equations
Suggested Resources
Text Pages
Vocabulary
Slope field
Suggested Resources
Text Pages
Teacher’s resources
Vocabulary
Differential equation
Vocabulary
Vocabulary
Suggested Resources
Text Pages
Teacher’s resources
Vocabulary
Separation of variables
Strategies
Administer test
Strategies
Use differential equations to
draw slope fields
Use initial conditions to find
particular solutions of
differential equations
Assessment
Test
Scaffolding Questions
Assessment
Teacher’s resources
Scaffolding Questions
Strategies
Solve differential equations
by separating variables to
determine a particular
solution
Strategies
Solve differential equations
by separating variables to
determine a particular
solution
Assessment
Teacher’s resources
Assessment
Teacher’s resources
Scaffolding Questions
Scaffolding Questions
Strategies
Solve differential equations
by separating variables to
determine a particular
solution
Assessment
Teacher’s resources
Scaffolding Questions
Monday
Tuesday
Calculus AB Second Six Weeks
Week 18
Wednesday
Pre
Cal
CALC
Thursday
Teacher work day
All topics covered this
semester
All topics covered this
semester
All topics covered this
semester
Learner Expectations
T.L.W:
Final exam
Learner Expectations
T.L.W:
Final exam
Learner Expectations
T.L.W:
Final exam
Learner Expectations
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Suggested Resources
Text Pages
Vocabulary
Vocabulary
Vocabulary
Strategies
Administer final exam
Strategies
Administer final exam
Strategies
Administer final exam
Assessment
Final exam
Assessment
Final exam
Assessment
Final exam
Scaffolding Questions
Scaffolding Questions
Scaffolding Questions
Friday
Holiday
Learner Expectations
Suggested Resources
Text Pages
Vocabulary
Vocabulary
Strategies
Strategies
Assessment
Assessment
Scaffolding Questions
Scaffolding Questions
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