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.
Semester Review End first semester
Tech Show Project
Area under the curve: Company's Logo (Open in desmos.com)
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)
Desmos illustration of Hours of daylights for any location by Ander Switalla