unit 1 - Integration & Limit Techniques
Essential Understandings (Students will understand that …)
1.1 The concept of a limit can be used to understand the behavior of functions.
1.2 Continuity is a key property of functions that is defined using limits.
2.2 A function’s derivative, which is itself a function, can be used to understand the behavior of the function.
(Higher – order Derivatives & 2nd Derivative Applications)
2.3 The derivative has multiple interpretations and applications including those that involve instantaneous rates of change. (Particle Motion, Slope Fields, & Euler's Method)
3.2 The definite integral of a function over an interval is the limit of a Riemann sum over the interval and can be calculated using a variety of strategies.
3.3 The Fundamental Theorem of Calculus, which has two distinct formulations, connects differentiation and integration. (Integration By Parts & Partial Fractions)
3.4 The definite integral of a function over an interval is a mathematical tool with many interpretations and applications involving accumulation.
3.5 Anti-differentiation is an underlying concept involved in solving separable differential equations. Solving separable differential equations involves determining a function or relation given the rate of change.
(Logistic Growth and Growth Rates)
1.1 The concept of a limit can be used to understand the behavior of functions.
1.2 Continuity is a key property of functions that is defined using limits.
2.2 A function’s derivative, which is itself a function, can be used to understand the behavior of the function.
(Higher – order Derivatives & 2nd Derivative Applications)
2.3 The derivative has multiple interpretations and applications including those that involve instantaneous rates of change. (Particle Motion, Slope Fields, & Euler's Method)
3.2 The definite integral of a function over an interval is the limit of a Riemann sum over the interval and can be calculated using a variety of strategies.
3.3 The Fundamental Theorem of Calculus, which has two distinct formulations, connects differentiation and integration. (Integration By Parts & Partial Fractions)
3.4 The definite integral of a function over an interval is a mathematical tool with many interpretations and applications involving accumulation.
3.5 Anti-differentiation is an underlying concept involved in solving separable differential equations. Solving separable differential equations involves determining a function or relation given the rate of change.
(Logistic Growth and Growth Rates)
Due Dates, HW Assignments, & Extra Practice Problems
Calculus Recipes - Blueberry Pancakes, Chocolate Studded Cookies, & Brownies
(Solve the problems and bake the treats!)
Please sign - into the following link and
JOIN the AP Calculus On-line Class.
Link --> AP College Board Online AP Calculus Class Code --> 2PPR6Y
Google Classroom Code --> 7iowcbd
Calculus Recipes - Blueberry Pancakes, Chocolate Studded Cookies, & Brownies
(Solve the problems and bake the treats!)
Please sign - into the following link and
JOIN the AP Calculus On-line Class.
Link --> AP College Board Online AP Calculus Class Code --> 2PPR6Y
Google Classroom Code --> 7iowcbd
Unit 1 Due Dates
Student Info Sheet = Jan 31st Multiple Intelligence Recording Sheet - Jan 31st Graded HW - Bio-Glyph = Google Classroom = Feb 7th Graded CW # 1 = Feb 7th AP Central On-line Quiz - due before - Feb 12th Kaleidoscope Link Google Classroom Upload(s) - Feb 19th by 7am Kaleidoscope Project Presentations - TBD Unit Test 1 - Feb 14th |
Unit 1 - Integration & Limit Techniques
Day 1 "It's All About The Brain" - Video Clip Bio - glyph using Desmos or Word - Upload into Google Classroom = Feb 3rd HW # 1 Highlight the Previously Covered Topics Integration Summary Pages Multiple Intelligence Survey & Multiple Intelligence Recording Sheet ________________________________________ Day 3 Kaleidoscope Project Rubric Group Project Presentation Info Feedback Form For Group Presentations -------------------------------------------------------------------------- Day 6 Geogebra Inter-active Tool Demo Class Video # 1 - 2004 AB 6 Class Video # 2 - 1998 AB 6 HW # 5 - On - line Slope Field Quiz -------------------------------------------------------------------------- Day 9 HW # 3 - Read about Slope Fields (aka Solution Fields & Direction Fields) HW # 4 - Euler's Method ----------------------------------------------------------------------------Day 10 HW # 5 - Slope Fields HW # 6 - Separation of Variables ----------------------------------------------------------------------------Day 13 HW # 7 - Sequence & Series Review (Click the Arrow on Sequences & Series and take the 6 Different Quizzes) |
Unit 1 Review
Separating the Variable Review Implicit Differentiation Integration By Parts Examples Trig Inverse Integral Review L'Hopital's Rule Practice Problems w/Solutions Integral Proofs Logistic Growth Additional Unit 1 review material links On - line Calculus Textbooks & Video Clips Classroom Activities -1- -2- -3- -4- -5- |
Continued
Partial Fractions Exponential, Log Functions, & Inverse Notes Inverse Trigonometric Practice Timed Practice Problems Trig Power Examples Trig Product Examples Trig Substitution Examples Area Song Review Area, Volume (D, W, CC, & S), Arc Length, Surface Area, & Work Review Review - Activity FR # 2 Review - Area & Volume Logistic Growth Logistic Growth - University Version L'Hopital's Rule |