AP Calculus AB
Name_______________________________________
Chapter 5: The Definite Integral
Period______________________________________
Date
Day 1
Topic
Assignment
pp. 270-3; 1-29 odd; 31-36 all
5.1 Estimating with finite sums
Distance traveled, rectangular approximation method (RAM), volume of a sphere,
cardiac output.
Day 2
pp. 282-3; 1-39 odd; 41-49 all
5.2 Definite Integrals.
Riemann sums, terminology and notation of integration, definite integral and are,
constant functions, integrals on a calculator, discontinuous integrable functions.
Day 3
pp. 290-2; 1-35 odd; 45-50 all
5.3 Definite integrals and antiderivatives.
Properties of definite integrals, average value of a function, mean value theorem
for definite integrals, connecting differential and integral calculus.
Day 4
5.4 Fundamental theorem of calculus.
p. 293 Quick Quiz 1-4 all
pp. 302-4; 1-61 0dd; 65-70 all
𝑥
Fundamental theorem pat 1, graphing the function ∫𝑎 𝑓(𝑡)𝑑𝑡, fundamental
theorem part 2, area connection, analyzing antiderivatives graphically.
Day 5
5.5 Trapezoid rule.
pp. 312-4; 1-27 odd; 31-36 all
Trapezoid approximations, other algorithms, error analysis.
Day 6
Chapter 5 Review
Day 7
Chapter 5 Test
I still have questions about:
p. 315 Quick Quiz 1-4 all
pp. 315-8; 1-51 odd; 46, 54
Score
Homework Rubric
Score: 0
Score: 2
Score: 4
I didn’t do the assignment or I didn’t complete
the assignment.
I completed the assignment by the day of the
unit exam.
I completed the assignment on the day it was
due.
I copied the answers from the back of the book.
I showed all of my work.
I showed all of my work.
I checked all my answers in the back of the
textbook.
I checked all my answers in the back of the
textbook.
If I had questions, I sought help.
If I had questions, I sought help, ie. I worked
backwards by knowing what the answer in the
back of the book.
Where can I get help?
My classmates. Form a study group! Get phone numbers or emails so
that you can phone a friend when you are in the hot seat.
My parents or other adults. They are smarter than you think! Besides, it
creates good bonding time.
My teacher. I’m usually in the Math Department Office (E200) from
7:00-7:30am and 1:50-2:30 pm. every day. I have 6th period planning so
I can help you. My advisory is in D 204 and you are encouraged to get
help from me during travel days.
The textbook and its tutorial website, www.interactmath.com. Select
Finney: Calculus: Graphical, Numerical, Algebraic (3e), then select the
current chapter and section. There are lots of practice problems here. Try
the Help Me Solve This button.
Free Tutoring. Let me know if you need a tutor.
The World Wide Web. Check out the documents and links at
http://teacher.edmonds.wednet.edu/edmondswoodway/wahbehs