College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
College Board
Why We Use Theorem In Calculus
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
Curated OER
Higher Order Differentiation and Implicit Differentiation
For this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
Curated OER
Differential Equations
Students solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
Curated OER
Differentials
Students investigate Differential equations using derivatives. In this calculus lesson plan, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation. They define...
Curated OER
Integrals
In this integrals worksheet, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals by using substitution. Then, students solve each of the given differential equations when given the...
Curated OER
Integrals
In this integrals worksheet, learners solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting the...
Curated OER
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
Curated OER
AP Calculus Practice Exam
In this calculus activity, learners calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
Curated OER
Condensing Section 4.1
In this differential equations worksheet, students solve three sets of questions. The first section is titled "Existence and Uniqueness." The second section is titled "Linear Independence and Dependence," and the third section is about...
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus activity, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
Curated OER
Differentials
Students investigate Differential equations using derivatives. In this calculus instructional activity, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation...
Curated OER
Multivariable Calculus/ Bonus Quiz 11
In this math worksheet, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.
Flipped Math
Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Balanced Assessment
A Sharper Image
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, learners...
College Board
2006 AP® Calculus BC Free-Response Questions Form B
Go a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...
Flipped Math
Calculus AB/BC - Reasoning Using Slope Fields
Find a solution in the field. An informative video presentation shows pupils how to use the information from a slope field to sketch the graph of a particular solution to a differential equation. Individuals learn how to determine the...
Curated OER
Lab 5: Inverse Functions and Calculus
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
Curated OER
Worksheet 31
In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
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Worksheet 30
In this math worksheet, students solve the differential equation by means of a power series about the point x0 = 2. Then they find the recurrence relation and the first four terms.
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Worksheet 20
For this math worksheet, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.
Curated OER
Worksheet 13
In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
Curated OER
Worksheet 3
in this math worksheet, students define the meaning of a differential equation. Then they examine the method of solving a separable equation.