Ms. O'Malley
Madison HS
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Day 6 (Mon Sept 15) *Q#1*
Day 11 (Thu/Fri Sept 25,26) *Q#2*
Day 13 (Tue/Wed Sept 30, Oct 1) *Test #1*
Day 1
(Sept 2,3)
Unit 1 - Limits & Continuity
What happens to the value of a function as x approaches a specific number?
How about when x approaches positive or negative infinity?
How can limits describe asymptotes?
What is continuity?
What does it mean to show that a function is continuous?
In class
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Discuss syllabus
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Watch Part 1: Knocking Down the Myths about Math of the Stanford "How to learn math" videos (you will need to make an account to watch these at home)
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Classwork 1.1 - Day 1 Activity / What is this "Calculus" of which you speak?
Homework
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HW 1.1 - Intro to limits, limits from graphs and tables
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Videos (Khan Academy):
Self-Checks are online practice problems to make sure you understand the concepts. Do more practice than Khan Academy requires if you need it!
Homework
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HW 1.2 - Finding limits algebraically
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Videos (Khan Academy):
Note the short length of the videos this time! This is difficult material, and I expect you may need to watch the videos more than once.
Be sure to take notes and write down any questions you have.
Day 2
(Sept 4,5)
Homework
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HW 1.3 - Continuity
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Videos (Khan Academy):
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Fancy algebra to find a limit and make a function continuous (5:20)
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Defining a function at a point to make it continuous (4:57)
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Self-Check: Continuity
Take notes, watch the videos more than once if you need to, and write down any questions you have.
Day 3
(Sept 8)
Homework
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HW 1.4 - Limits at vertical asymptotes (no worksheet)
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Videos (Khan Academy):
Take notes, watch the videos more than once if you need to, and write down any questions you have.
**Amnesty next class** Usually I don't accept late HW for credit. Next class, you can earn points for any HW you haven't turned in yet!
In class
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Check/discuss HW 1.3
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Notes / finish Classwork 1.2
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Classwork 1.3 - algebraic limits
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Classwork 1.4 - limits & continuity
Day 4
(Sept 9,10)
Homework
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HW 1.5 - Limits at horizontal asmptotes (no worksheet)
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Videos Khan Academy):
Take notes, watch the videos more than once if you need to, and write down any questions you have.
In class
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Check HW, CW
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Finish Classwork 1.4
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Activity - limits from a graph
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Classwork 1.5 - more limits
Day 5
(Sept 11,12)
Homework
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HW 1.6 - Squeeze Theorem & (no worksheet)
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Videos - Khan Academy. Take notes, watch the videos more than once if you need to, and write down any questions you have.
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At the end of your notes, write in your own words what each of these says and how it works:
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the Squeeze Theorem
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the Epsilon-Delta definition of limits
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In class
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Quiz #1 - Limits (numerical, graphical, algebraic)
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Check HW, CW
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Go over Classwork 1.5
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Classwork 1.6 - AP test questions & exploring horizontal asymptotes
Day 6
(Sept 15)
Homework
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HW 1.7 - WORKSHEET: Unit 1 Review *Part 1*
(you can wait on #13-15 if you like)
In class
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Finish Classwork 1.6
Day 7
(Sept 16,17)
Homework
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HW 1.7 - WORKSHEET: Unit 1 Review *Part 2*
In class
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Go over CW 1.6
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Classwork 1.7 - continuity & infinity
Day 8
(Sept 18,19)
Homework
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Work on HW 1.7
In class
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Return / go over Quiz #1
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Radians & Trig Values activity
Day 9
(Sept 22)
Homework
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Finish HW 1.7 Parts 1 & 2
In class
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Finish Radians & Trig Values activity
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Finish Classwork 1.7 - continuity & infinity
Day 10
(Sept 23,24)
Homework
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Study for the test! Use HW 1.7 and all the CW's as a guide.
In class
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Check HW & CW
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Go over Classwork 1.7
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CW 1.8 - trig & proving continuity
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Quiz #2 - proving continuity & trig
Day 11
(Sept 25,26)
In class
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Review Parts 1, 2, 3 questions & answers
Day 12
(Sept 29)
Homework
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HW 2.1 - WORKSHEET - Average and instantaneous rate of change
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Videos - Khan Academy
MAKE SURE YOU ARE SIGNED IN YOUR KHAN ACADEMY ACCOUNT BEFORE WATCHING THE VIDEOS!
Take notes, watch the videos more than once if you need to, and write down any questions you have.
Slope of a line secant to a curve (7:17)
Optional: Examples 1, 2, 3
Approximating instantaneous rate of change word problem (6:41)
In class
Test #1 - Limits & Continuity
Limits
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tables
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graphs
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finding left/right limits
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finding limit at a point
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function value vs. limit
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drawing graphs that meet a description
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direct substitution (just plug in)
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algebraic - simplify first
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factoring
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synthetic or polynomial division
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conjugate (square roots)
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common denominator (fractions)
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as x approaches infinity
Continuity
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using the 3-part definition to prove continuity/discontinuity
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finding values to make a function continuous
Day 13
(Sept 30,
Oct 1)