Quizzes, Review, and Tests for optimization, 1st derivative test, 2nd derivative test, increasinganddecreasing intervals, extrema, critical points, concavity, points of inflection, and the mean value theorem -- Over 30 pages!
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
Students will be able to justify where a function is increasinganddecreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of IncreaseandDecrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
This is a short quiz asking students to display their knowledge of Rolle's and Mean Value theorems. They are asked to describe the difference between the two, and answer some questions that apply these theorems. 5 questions total.
Vanessa Moon
This is a quiz that I made for my students when I realized that they failed to recognize the limit definiton of derivative on their test. It has 4 questions that ask them to evaluate the limit and 2 questions that ask them to write the limit defintion given a function to find its derivative.
This identity sheet lists the major Trigonometric Identities that your students will need in class! This is a word document that you can edit. I place boxes over various identities and make the students fill them in for quizzes!
A small space is left to upload your own favorite you tube video explaining how to utilize the super hexagon or whatever else you decide to do. Use this template as a visual reminder to help yourself or students with homework, prepare for quizzes, tests and finals.
This is a one-page (front-to-back) TI-83 or 84 reference guide / manual for students taking AP Calculus AB or BC. It includes a list of several common error messages and how to fix them, as well as step-by-step instructions and examples for the four things students can let the calculator do on the AP test:
- Graph a function
- Solve equations / find roots / find intersections
- Find the derivative of a function at a point
- Find the value of a definite integral