Unit 1
Math Bio [1) Last 4 math classes you've had and where, 2) strengths and weaknesses, 3) preferred classroom environment, 4) what else I need to know to be your teacher, 5) current future profession of choice]
Please send me a quick email with your name and any preferred pronouns if you want me to have them
Day 2: Domain, Range and FUNctions
READ and complete Chapter 1 Section 1: #2, 5-8, 19, 23-27, 31-36, 39, 40, 42, 58, 59
Day 3: Exponential and Logarithmic Functions (45)
1.5: #13, 15, 16
1.6: #18, 23-28, 35-38, 49-52
Create and Solve an Infinite Number of: Given an exponential function, find x, find y.
Create and Solve an Infinite Number of: Given an logarithmic function, find x, find y.
Day 4: Homework Requests, Parametric Functions
1.7: #6-8, 12-14, 16, 20, 26, 27, 30, 36, 37
Day 5: The Game! (Not Much Fun...)
2.2: #5, 6, 9, 10, 13, 15
In case "The Game" is new to you this year... these could help
Find a friend that you don't mind losing (Like Phillip) and play THE GAME an infinite number of times
Day 7: Recall How to Solve Algebraically
This Year's Classroom Code: 7LRD64
1. Sign up through CV to be in your class.
2. Sign up through the College Board.
3. Say “Yes” that you are taking the test. Or “No”. Once you do step 2, it defaults to “Undecided”. Doing step 3 saves student heartache. You can change your mind, but there can’t be any “Undecided”
2.3: #2, 8, 9-19, 20-28 even, 29-32, 34, 43
Day 8: A New Game (Still Not Fun) and Proofs!
Appendix D: #1, 5, 9, 10, 13, 14, 15b
Create and practice an infinite number of linear proofs for delta and epsilon
Create and practice an infinite number of rational polynomial (linear over linear) proofs for N and epsilon
Study Buddies Flyer (peer tutoring program... either become a tutor or utilize their help!)
Create and practice an infinite number of linear proofs for delta and epsilon
Create and practice an infinite number of rational polynomial (linear over linear) proofs for N and epsilon
Day 10: More Algebraic Methods, Quick Continuity and IVT Recap
2.5: #3-7 odd, 13-31 odd, 32, 35, 41, 46
2.4: #4, 15, 31, 33-39
Start 2.6?
FREE Test point on Synergy
Day 11: The Difference Quotient
2.6: #3-9 odd, 10, 12, 22ab
2.7: #3-5, 10, 13-23 odd, 31
Day 13: The Derivative Graphically, Multiple Derivatives in Physics (Don't Call me a Jerk!)
2.8: #1-11 odd, 19-25 odd, 30ab, 32, 33, 36, 41, 49
Practice an infinite number of problems like the 3 important in-class examples that began today's lesson
Graphs Handout - Given a graph of f'(x), draw f(x) such that f(0) = 1
Build a graph, ID some interesting stuff, give it to a "friend" and make them try to reproduce the graph (see example in the end of the Day ?? notes)
Start 2.10: #2, 6, 8-12, 15-20, 24-26, 29, 30
Day 15 More on the Antiderivative
2.10: #2, 6, 8-12, 15-20, 24-26, 29, 30
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 some kid from the OTHER BC class and make them 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 a High Five to one of your study partners.
3.1: #7-21 odd, 32-46 even, 52 (read 51), 56
Day 18: TYSKBN, Chapter 1 and Chapter 2 Test
3.1: #7-21 odd, 32-46 even, 52 (read 51), 56
Be prepared to prove any of the Rules of Differentiation outlined in the 3.1 reading