Text book: Calculus (AP) Finney ... 5th Edition
The Concept Outline
Big Idea 1: Limits
EU 1.1: The concept of a limit can be used to understand the behavior of functions.
EU 1.2: Continuity is a key property of functions that is defined using limits.
Big Idea 2: Derivatives
EU 2.1: The derivative of a function is defined as the limit of a difference quotient and can be determined using a variety of strategies.
EU 2.2: A function’s derivative, which is itself a function, can be used to understand the behavior of the function.
EU 2.3: The derivative has multiple interpretations and applications including those that involve instantaneous rates of change.
EU 2.4: The Mean Value Theorem connects the behavior of a differentiable function over an interval to the behavior of the derivative of that function at a particular point in the interval.
Big Idea 3: Integrals and the Fundamental Theorem of Calculus
EU 3.1: Antidifferentiation is the inverse process of differentiation.
EU 3.2: The definite integral of a function over an interval is the limit of a Riemann sum over that interval and can be calculated using a variety of strategies.
EU 3.3: The Fundamental Theorem of Calculus, which has two distinct formulations, connects differentiation and integration.
EU 3.4: The definite integral of a function over an interval is a mathematical tool with many interpretations and applications involving accumulation.
EU 3.5: Antidifferentiation is an underlying concept involved in solving separable differential equations. Solving separable differential equations involves determining a function or relation given its rate of change.
Big Idea 4: Series (BC)
EU 4.1: The sum of an infinite number of real numbers may converge.
EU 4.2: A function can be represented by an associated power series over the interval of convergence or the power series.
Participate / Behavior 5%
Homework 10% Textbook HW are on Google Classroom. Need invitation to sign in
Quiz / Test 45%
1. Warm Up class quiz on Google Classroom - No retake
2. Paper test after a Unit lesson done (Sometime onlines)
3. Exam by end of Semester
Click on the link to download paper.
Cheat sheet: Limit cheatsheet Derivative cheatsheet Integral cheatsheet
WS1 WS2 WS3 WS4 WS5 WS6 WS7 Test on Limit Concept
WS8 WS9 WS10 WS11 WS12 WS13 WS14 WS15 Test on Derivative Skills
Project: Take a ride WS20 WS21 WS22 WS23 WS24 WS25 WS26 WS27
Semester Review End first semester
WS31 WS32 WS33 WS34 WS35 WS36 WS37
WS38 WS39 WS40 WS41 WS41 lab WS42 WS43 WS44 WS45
Tech Show Project
Area under the curve: Company's Logo (Open in desmos.com)
Apple by Tazwell Borquist Nike by Griffin Brandstetter
Twitter by David Dinh McDonald by Caleb Ohryn
Sprint by Alexander Elliott Safeway by Vincent Vaughn
Target by Kaily Malynowski Motorola by Tobias Mick
Startrek by Cole Failing Snap by Cleda Hodes (pre-work)
Volume by slicing project End second semester
Scratch Programming Project http://scratch.mit.edu/users/BensonScratch/
College Board website:
Roll down; click on Past Exam Question and choose Free-Response Questions.
Below are video created by students (served as teaching materials)
Synthetis Division by Echo Nguyen Tangent equation to a curve by Beson Ton
L'Hospital basic by Benson Nguyen About differenciation by Allen Lam
Desmos illustration of Hours of daylights for any location by Ander Switalla
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