Curated OER
Higher Order Derivatives
In this math worksheet, students explore the concept of higher order derivatives. They also use the example to find the fourth order Taylor expansion.
Curated OER
Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
Curated OER
Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
Curated OER
Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
CK-12 Foundation
Antiderivative: Piecing it Together
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
CK-12 Foundation
Chain Rule
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Flipped Math
Calculus AB/BC - Modeling Situations with Differential Equations
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. ...
Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
Curated OER
A.P. Calculus Practice Exam AB Version- Section I- Part B
In this A. P. Calculus AB worksheet, students solve seventeen multiple-choice problems with a graphing calculator. This worksheet is designed as a practice test for the A.P. Exam and should be timed.
Curated OER
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
Curated OER
Multivariable calculus: Partial Derivatives
In this partial derivative worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
Curated OER
The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Curated OER
Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. For this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Twenty-Eight Multiple Choice No Calculator AP Calculus AB Problems
In this AP Calculus AB practice exam worksheet, students solve twenty-eight various multiple choice calculus problems without using a calculator.
Curated OER
AP Calculus Practice Exam AB Version-Section1-Part 1
In this calculus practice exam, learners select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
Curated OER
Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. In this calculus lesson, 12th graders explore the procedure for taking the derivative of logarithms to any base.
Curated OER
Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator. This worksheet should be completed in fifty-five minutes.
Curated OER
Seventeen Multiple Choice Calculator AP Calculus BC Practice Test
In this AP Calculus BC worksheet, students answer seventeen multiple choice questions with the use of a calculator. The questions are a fifty minutes times practice test for the AP exam.
Curated OER
AP Calculus Practice Exam BC Version- Section I -Part B
For this AP Calculus Practice Exam worksheet, students solve seventeen multiple-choice questions using a graphing calculator. This BC practice test is designed to be finished in fifty minutes.
Curated OER
A.P. Calculus Practice Exam BC Version Section I Part B
For this AP Calculus practice test worksheet, learners prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator. The test should be timed and 50 minutes in length.