Curated OER
ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
Orange County Department of Education
Integrity and "Thank You, M'am"
Ninth graders explore the definition of integrity through a class discussion. They provide positive/negative examples from the story and their own experiences. Students determine character traits by analyzing the dialogue in a short...
Curated OER
Exploration 3: Introduction to Definite Integrals
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
Curated OER
Worksheet 29 - Interval
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
Curated OER
Worksheet 34 - Antiderivatives
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Curated OER
Evaluating Definite Integral Using Anti-Derivatives
In this integral worksheet, students compute the exact value of given functions. They specify the definite integral and antiderivatives. This two page worksheet contains five multi-step problems.
Curated OER
Complex Analysis: Cauchy's Integral Formula
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
Curated OER
Math 312 Spring 2004 Bonus Quiz. Integrals
In this integral instructional activity, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page instructional activity contains five problems.
Curated OER
More Integral Exchange: Integration By Parts
For this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
Curated OER
Trigonometric Examples of Integration by Substitution
In this integration instructional activity, students use trigonometric identity and integration by substitution to solve given integrals. This two-page instructional activity contains three problems.
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam. Problems include limits, derivatives, and integrals. The four page worksheet contains twenty-eight problems. Answers are not...
Curated OER
Integrations Applications
For this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
Curated OER
Integration
In this calculus worksheet, students solve problems by integration and taking the derivatives. There are 34 integration problems to review for major concepts in calculus.
Curated OER
Why Plus C is important.
In this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
Curated OER
Area Under A Curve
Calculus young scholars use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal...
University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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, graphing in...
Curated OER
Barehands Integration
In this calculus learning exercise, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.