Curated OER
Discussion Sheet 2: Indefinite Integrals
In this indefinite integral worksheet, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...
College Board
2003 AP® Calculus AB Free-Response Questions
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
Curated OER
The AP Calculus Problem Book
Are you always looking for extra problem resources to incorporate in your classes? A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
Curated OER
How Many Letters Are In Your Name?
Students discover how to make a graph that represents the number of letters in their names. In this early childhood math lesson plan, students collect data, categorize data, and develop skills to analyze the pieces of data.
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...
Curated OER
Melodies and Math: Creating Music with Non-Traditional Instruments
Review the 4/4 and 2/4 time signatures in music with a helpful music theory lesson plan. Young musicians experiment with electronic sounds and create their own musical performance using instruments made from materials found in the...
Curated OER
The Good, The Bad, The Ugly
Sixth graders examine the causes of the stock market crash of 1929. In this integrated math/history unit on the stock market, 6th graders study, research, and read stocks, visit a local bank, and create a PowerPoint to show the...
Curated OER
Dance Challenge: Calculate and Compare Speed by Measuring a Series of Dance Movements
Really neat! Kids choreograph a dance phrase and then measure the distance and speed of the phrase using a timer and a meter stick. They collect the data on a table which they use to determine an average. A series of observation and...
Curated OER
Complex Analysis: Contour Integration
In this contour integration learning exercise, students integrate formulas, sketch the contour and evaluate the integral. This two-page learning exercise contains approximately eight problems.
Curated OER
Complex Analysis: Applications and Implications of Cauchy's Integral Formula
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
Curated OER
Eight Integration by Part Review Problems
In this integration by parts worksheet, students integrate eight integrals by parts. Some of the problems involve trigonometric integrals and exponential integrals.
Curated OER
Integration Computations
In this college level Calculus instructional activity, students evaluate indefinite and definite integrals. The two page instructional activity contains ten problems. Answers are not provided.
Curated OER
Integration by Parts Review 1
In this college level calculus worksheet, students evaluate the given integrals using integration by parts. The one page worksheet contains six problems. Answers are not provided.
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
ESP Quiz 5
Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.
Curated OER
Basic Calculus II: Numerical Integration
In this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
Curated OER
Integration of Functions
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
Curated OER
Worksheet 7
In this integral learning exercise, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
Curated OER
Average Value of Functions
In this integrals and average value worksheet, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
Curated OER
Challenge Sheet 6: Fractions Decomposition
In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
Curated OER
Discussion Sheet 8: Area
In this area worksheet, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
Curated OER
ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This activity is intended to be used as a quiz, but could be used a review.
Curated OER
Discussion Sheet 3
In this math activity, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.
Curated OER
Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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