Curated OER
Understanding the Fundamental Theorem of Calculus
For this Fundamental Theorem of Calculus worksheet, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page worksheet contains ten problems.
Curated OER
Graph Of The Derivative
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
Curated OER
Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
Curated OER
Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
Curated OER
Implicit Differentiation
In this calculus worksheet, students solve equations using implicit differentiation with respect to x. They find the slope givena specific point. There are 14 questions.
Curated OER
Product Rule
Students investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the instructional activity to help find the...
Curated OER
Eighteen Higher Order Derivative Problems
In this higher order derivatives worksheet, learners find the first, second, or third derivative in eighteen problems. Students also evaluate derivatives for given values.
Curated OER
Finding Derivatives of Twenty Trig Functions
In this derivatives activity, students take the derivative of fifty various trigonometric functions. These fifty problems vary in difficulty.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
College Board
2005 AP® Calculus AB Free-Response Questions
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
College Board
2008 AP® Calculus AB Free-Response Questions
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
College Board
2006 AP® Calculus BC Free-Response Questions
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
College Board
2005 AP® Calculus BC Free-Response Questions
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
Flipped Math
Calculus AB/BC - Solving Related Rates Problems
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
Flipped Math
Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Flipped Math
Calculus AB/BC - Verifying Solutions for Differential Equations
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
Flipped Math
Calculus AB/BC - Introduction to Optimization Problems
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
Curated OER
Proof That One Equals Zero (Using Calculus)
In this proofs worksheet, learners evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
Curated OER
Engineering in a Calculus Classroom
Learners solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.