barbara kane patrick gierut j. sterling morton east high school cicero, il morton east high school...
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Barbara KanePatrick Gierut
Making AP Calculus as Easy as 3,4,5
J. Sterling Morton East High SchoolCicero, IL
Mor
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East
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ierutAP Calculus…
as easy as 3, 4, 5
Collaboration & Support
Vertical Teaming
Calculus at Morton Today
2013-2014
Everyone Takes the AP Test
2004-2005
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ierutAP Calculus…
as easy as 3, 4, 5Ten Year Timeline
Daily Homework
AP Review Sessions
Apply skills to new
situations
Summer Work
AP Calculus…as easy as 3,4,5Expectations of Students
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as easy as 3, 4, 5
Summer WorkExpectations of Students
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Summer WorkSummer WorkExpectations of Students
Mor
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Summer WorkExpectations of Students
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ierutAP Calculus…
as easy as 3, 4, 5
Apply Skills to New SituationsSkill: Chain Rule
New Situation: Apply knowledge of the chain rule using a table of values instead of functions.
x
0 1 1 5.6 8.2
1 3.75 –4.2 –7.9 –5.3
Suppose that the functions f and g and their derivatives with respect to have the following values at and . If , evaluate .
Expectations of StudentsM
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AP
Cons
ortiu
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Skill: Definite Integral, Increasing/Decreasing, Average Value, Average Rate of Change
Apply Skills to New SituationsExpectations of Students
Mor
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14 A
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AB Review SessionsDATE Time Type of Test Length of Test
Thurs, March 20 3pm-5pmM/C Non-Calculator 55 min
(plus 60min discussion)Sat, March 22 8am-10am
Thurs, March 27 3pm-5pmM/C Calculator 50 min
(plus 60min discussion)Sat, March 29 8am-10am
Thurs, April 10 3pm-5pmFRQ Calculator 45 min
(plus 60min discussion)Sat, April 12 8am-10am
Thurs, April 17 3pm-5pm FRQ Non-Calculator 45 min(plus 60min discussion)
Wed, April 238am-9:30am
M/C Calculator 50 min(plus 40min discussion)9:30am-11am
Sat, April 26 8am-10am FRQ Non-Calculator 45 min(plus 60min discussion)
Expectations of StudentsM
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AP
Cons
ortiu
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
BC Review SessionsDATE Time Type of Test Length of Test
Sat, March 2210am-12pm
M/C Non-Calculator 55 min(plus 60min discussion)12pm-2pm
Sat, March 2910am-12pm
M/C Calculator 50 min(plus 60min discussion)12pm-2pm
Sat, April 1210am-12pm
FRQ Calculator 45 min(plus 60min discussion)12pm-2pm
Wed, April 238am-9:30am
M/C Calculator 50 min(plus 40min discussion)9:30am-11am
Sat, April 2610am-12pm
FRQ Non-Calculator 45 min(plus 60min discussion)12pm-2pm
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ierutAP Calculus…
as easy as 3, 4, 5Expectations of Students
Daily Homework(Notation, Notation, Notation)
Expectations of StudentsM
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AP
Cons
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Teach Calculus & prepare for
AP Test
Unit/Year Schedules
Consistent Teaching
Teacher Availability
AP Calculus…as easy as 3,4,5M
orto
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AP
Cons
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Expectations of Ourselves
Teacher Availability
Tutoring/Homework Help: Before & After School every day
AP Review Sessions: After School & Saturdays
Collegial Support: Before & After School, Lunch/Prep Time, Weekends, Summer
Mor
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ierutAP Calculus…
as easy as 3, 4, 5Expectations of Ourselves
Consistent Teaching: Planning
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ierutAP Calculus…
as easy as 3, 4, 5Expectations of Ourselves
Consistent Teaching: RubricsQUESTION: Find the volume of the solid formed by revolving the region bounded by the graphs of and about the x-axis. SOLUTION:
Volume = 1.324
Score Qualifications0 No work or washer method never used or
used incorrectly1 Outer radius incorrect, limits incorrect2 Inner radius incorrect3 Error in computation. (AP-style answer)4 Error in notation.5 Proper notation used throughout problem.
Expectations of OurselvesM
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n Ea
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AP
Cons
ortiu
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Consistent Teaching: Strategies
In Calculus, everything comes in 3’s• AP-Style Answer
• Continuity • Differentiability• Derivatives• Riemann Sums• Value Theorems• Critical Points• Volume• BC Topics
Expectations of OurselvesM
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n Ea
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AP
Cons
ortiu
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Unit/Year SchedulesExpectations of Ourselves
Mor
ton
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14 A
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Teach Calculus & Prepare for the AP TestExpectations of Ourselves
Mor
ton
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
Growing the Program
AP Calculus
PreCalculus
Adv Alg
Geometry
Algebra (8th grade)
AP Calculus
PreCalculus
Summer Adv Alg
Geometry
Algebra
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ierutAP Calculus…
as easy as 3, 4, 5
Math Course Sequences for AP Calculus
Growing the Program
School Year
# Students in Calculus
2013-14 97
2012-13 82
2011-12 64
2010-11 41
2009-10 38
2008-09 49
2007-08 40
2006-07 29
2005-06 32
2004-05 25
36 BC
61 ABAP Calculus
PreCalculus
Summer Adv Alg
Geometry
Algebra
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ierutAP Calculus…
as easy as 3, 4, 5
Effect on the # of AP Calculus Students
AP Calculus
PreCalculus
Adv Alg
Summer Geometry
Algebra
AP Calculus
PreCalculus
Summer Adv Alg
Geometry
Algebra
Mor
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ierutAP Calculus…
as easy as 3, 4, 5
Additional Course Sequence for Summer 2013 & 2014
Growing the Program
• Unit Circle/Trig Review
• Rational Expressions (including factoring)
• Solving/Simplifying Logs/Exp
• Solving/Simplifying Polynomials
• Calculator Usage (graphing functions, solving equations, etc)
Mor
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
ABBoot Camp
• Limits & Continuity
• Parametric Functions
• Vectors
• Polar Functions
• Partial Fractions
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ierutAP Calculus…
as easy as 3, 4, 5
BC
Boot Camp
AP Calculus
PreCalculus
Math 2/3
Summer Math 2
Math 1
AP Calculus
PreCalculus
Math 2/3
Math 1/2
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ierutAP Calculus…
as easy as 3, 4, 5
CCSS Integrated Math Course Sequencesfor AP Calculus
The Future
2005 2006 2007 2008 2009 2010 2011 2012 20130
10
20
30
40
50
60
70
80
90
Score 5Score 4Score 3Score 2Score 1
Years
# of
stu
dent
s in
AP
Calc
ulus
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ierutAP Calculus…
as easy as 3, 4, 5
AP Calculus AB Scores from 2005 to 2013
Avg Score: 3.427
Global Avg: 2.96
3 or Higher: 75.61%
Avg Score: 1.880Global Avg: 2.94
3 or Higher: 20%
Data
Particle
Motion
Area & Volume
Modelin
g Numeric
ally/A
nalytica
lly
Modelin
g w/D
iff Eq
Graphica
l Analy
sis of F
,F',FT
C01234567
2010201120122013
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14 A
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning ReportData
Mor
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East
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14 A
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning Report 2013Data
Lowest 4th Second 4th Third 4th Highest 4th0
5
10
15
20
25
30
35
40
45
Multiple-Choice
2010201120122013
% o
f stu
dent
s
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning ReportData
Lowest 4th Second 4th Third 4th Highest 4th0
5
10
15
20
25
30
35
40
45
Free-Response
2010201120122013
% o
f stu
dent
s
Mor
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East
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14 A
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning ReportData
Mor
ton
East
Hig
h Sc
hool
∫20
14 A
P Co
nsor
tium
∫∫ ∫∫
∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning Report 2013Data
Mor
ton
East
Hig
h Sc
hool
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14 A
P Co
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tium
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∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5
AP Instructional Planning Report 2013Data
BC Calculus
The Birth of BC
Calculus Teacher
Student Interest
PreCalc Teachers
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ierutAP Calculus…
as easy as 3, 4, 5
Attended College Board AP Summer Institute with Ruth Dover (IMSA)• Arc Length, Parametrics, Vectors• L’Hôpital’s Rule, Improper Integrals• Sequences & Series• Convergence of Series• Taylor Series• Euler’s Method• Differential Equations, Logistic Graphs• Polar graphs
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ierutAP Calculus…
as easy as 3, 4, 5
1st StepsBC Calculus
Planned out the schedule for the year
• Ends 1st week of schoolChapter 2Limits &
Continuity• Includes Vectors, Parametric
& Polar Functions• Ends early October
Chapter 3 Derivatives
• Ends early NovemberChapter 4
Applications of Derivatives
• Includes integration by parts, partial fractions
• Ends mid-December
Chapter 5 Definite Integral
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as easy as 3, 4, 5
1st StepsBC Calculus
• Includes Euler’s method & Logistic Growth
• Ends January, before Finals
Chapter 6Slope Fields
• Includes polar curves, lengths of curves, parametric curves, distance traveled in vector
• Ends mid-February
Chapter 7 Applications of
Definite Integrals
• Ends late-February
Chapter 8 L’Hôpital’s Rule &
Improper Integrals
• Ends late-MarchChapter 9 Infinite Series
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ierutAP Calculus…
as easy as 3, 4, 5
1st StepsBC Calculus
Planning Lessons
Guided Notes
Wolfram Demonstrations
Videos & Website
Resources
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as easy as 3, 4, 5
Picking Up SpeedBC Calculus
Mor
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as easy as 3, 4, 5
Guided NotesPicking Up Speed
Wolfram Demonstrations
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as easy as 3, 4, 5
demonstrations.wolfram.com
Picking Up Speed
Videos & Websitewww.mathkanection.com
Mor
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ierutAP Calculus…
as easy as 3, 4, 5Picking Up Speed
• Remind 101 www.remind101.com
• Math Is Fun www.mathsisfun.com/calculus/index.html
• AP Calculus Stillwater apcalculusstillwater.wordpress.com/ap-calculus-videos/
• Mr. White’s AP Calculus AB https://sites.google.com/a/lusherschool.org/mrwhitecalc/
• Mr. Landry’s Online Learning Math Center www.deeringmath.com/Calculus/calculusbc/
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as easy as 3, 4, 5
ResourcesPicking Up Speed
Collegial Support
55 students
36 students
Frozen Days
Review Days
3 preps
Videos35 students
Series
Mor
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ierutAP Calculus…
as easy as 3, 4, 5Reflections
More AB & BC
Student Buddy System
More Vertical Teaming
100% success rate
More Teachers Involved
Mor
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ierutAP Calculus…
as easy as 3, 4, 5What Will the Next 10 Years
Look Like?
Barbara KanePatrick Gierut
Making AP Calculus as Easy as 3,4,5
J. Sterling Morton East High SchoolCicero, IL
Mor
ton
East
Hig
h Sc
hool
∫20
14 A
P Co
nsor
tium
∫∫ ∫∫
∫Kane and G
ierutAP Calculus…
as easy as 3, 4, 5