Day 1: Functions, Domain, Range and STRESS (35)
READ Chapter 1 Section 1
COMPLETE Chapter 1 Section 1: #2, 5-8, 19, 23-27, 31-36, 39, 40, 42
Answer Keys
Homework Requests
Hopefully we can get our books next week... I'll let you know when I know.
Day 3: Homework Requests, Parametric Functions
Try the Canvas Quiz Online (Hopefully it will work... I'm learning)
Video 3: First Example - Graphing by hand, Eliminate the Parameter to find the Cartesian Equivalent
Day 4: Intro to The Game! (Not Much Fun...)
Live Video
Be sure to try the Canvas Quiz "The Game" later today
Video 5: Intro Evaluating a Limit at Level 2 (More on Day 5)
Video 6: Evaluating a Limit at Level 3: The REAL Definition of a Limit as x Approaches a
Day 5: More Practice with the Game, Recall How to Solve Algebraically
Video 2: More Practice with The Game (won't be fun): Example 1 Intro and Level 1
Find a friend that you don't mind losing (like Rahul ) and play THE GAME an infinite number of times
Video 12: Evaluating Limits at Level 2 Example 5 The Squeeze Theorem
Day 6: Workday as The Game is New this Year
Get Caught Up
Day 7: A New Game (Still Not Fun) and Proofs!
Video 3: Another Example of Level 4
Create and practice an infinite number of linear proofs for delta and epsilon
Textbook (Do you have it yet?) Appendix D: #1, 5, 9, 10, 13, 14, 15b
Video 8: A Second Chance to Play a New Game that is NOT Fun
Play THE GAME as x approaches infinity. Play this game twice as many times as you have the previous game.
Video 12: Another Example Level 3 and 4
Create and practice an infinite number of rational polynomial (linear over linear) proofs for N and epsilon
FriDay 8: More Algebraic Methods, Quick Continuity and IVT Recap
Canvas Quiz The Game Quiz #2
Redo 2.3: #2, 8, 9-19, 20-28 even, 29-32, 34, 43?
Create and practice an infinite number of linear proofs for delta and epsilon
Video 1: One More Level 3 and Level 4 Example
Create and practice an infinite number of rational polynomial (linear over linear) proofs for N and epsilon
First FRQ drops today!
Video 2: Evaluating Limits at Level 2 Buchanan's Way vs Book's Way
MonDay 9: The Difference Quotient Day 1
AP Collegeboard Join Code Period 3: 3X4JG6
For CHS students: "Here is the exam-only join code for the CHS students attending AP Calc BC at CV. They join your teacher's AP classroom, but not the exam at CV. They enter this code instead: 7ZKNE3 "
Canvas Quiz on 2.5
Day 10: The Difference Quotient Day 2 (extra day added so we can "breathe")
Live Video: An Example of Stuff We Skipped Last Year (RPF)
READ 2.7
2.7: #3-5, 10, 13-23 odd, 31
Canvas Quiz
After finishing 2.6 and 2.7, complete FRQ 2
Day 11: The Derivative Graphically, Multiple Derivatives in Physics (Don't Call me a Jerk!)
This could take a few days...
Video 1: More Crazy Piecewise Graphs
Make up more like these and practice
Video 6: Drawing Derivatives Example 3
Practice an infinite number of problems like the 3 important examples above.
READ 2.8
2.8: #1-11 odd, 19-25 odd, 30ab, 32, 33, 36, 41, 49
30ab (see Live Video Day 12)
Day 12: Workday as Graphing Derivatives are New This Year
Get Caught Up
Bunch of New Canvas Quizzes
Live Video: Started the recording late. I blame my son. And Rahul.
Video 1: Crazy Piecewise Backwards
Build a graph, ID some interesting stuff, give it to Ethan and make him try to reproduce the graph
Video 6: A Second Example of Drawing an Antiderivative
READ 2.10
Start 2.10: #2, 6, 8-12, 15-20, 24-26, 29, 30
MonDay 14: More on the Antiderivative
Graphs Handout - Given a graph of f'(x), draw f(x) such that f(0) = 1
2.10: #2, 6, 8-12, 15-20, 24-26, 29, 30
Start the Day 12 homework?
Day 15: Final Requests/Work Day
Host/attend a math party. It is best to study math with friends and pizza
Exact Values... Radian emphasis
Know that the "fog" notation is an annoying alternative to f(g(x))
Practice a few Domain and Range Problems from Chapter 1 Section 1
Look at Parametric equations again
Sketch a graph
Eliminate the parameter to find the Cartesian equation (RARELY a function... don't feel the need to solve for y)
Finding inverses
Practice an infinite number of proofs for linear functions, limit as x approaches a
Practice an infinite number of proofs for rational polynomial functions with linear numerator and denominator, limit as x approaches infinity
Play THE GAME as x approaches a an infinite number of times
Play THE GAME as x approaches infinity. Play this game twice as many times as the previous game.
Do a bunch of 2.3 algebra type problems
Do a bunch of 2.5 algebra type problems
Remind yourself about the squeeze theorem and find some HW problems related to it.
Remind yourself about the intermediate value theorem (IVT) and find some HW problems related to it.
Eat some pizza
Know what it means for a function to be continuous at a
Know what it means for a function to be differentiable at a
Find some slopes using the "difference quotient" (that thing with h going to 0) at given "a" values (like a=2)
Find equations of lines tangent to a given curve at a given point using the difference quotient. Feel free to do an infinite number of these
Using the definition of a derivative (that h to 0 thing again), calculate f'(x) by hand.
Given a graph of f(x), be able to sketch a graph of f'(x). Use Graphs Handout
Given a graph of f'(x), be able to sketch a family of graphs of f(x) and a specific f(x) through a given point. Use Graphs Handout
Eat some more pizza
Take a problem from 2.7 like #13-18 or 2.8 like #19-25. Calculate the derivative using the definition of a derivative. Using your graphing calculator, graph the original function. Using a magic pen, draw a graph of f'(x) on top of the graph of f(x). Graph your result from the definition of the derivative and see if the graphs of f'(x) line up.
Draw a graph, ID some important facts, give the facts to Simone and make her draw the graph. Try to use all types of facts from chapter 2 including limits of all kinds, continuity, differentiability, intervals of increasing/decreasing, extrema, concavity and points of inflection. See p. 180, #15-19 for ideas.
Do 2.10 #11 and #12 again.
Give Audrey a High Five
I HIGHLY recommend printing this FRQ out before attempting it. But I'll be as flexible as possible scoring this assignment for those of you who cannot print. Graph paper would be better than lined paper, but do what you can.