Curated OER
Noisy Nora, Studious Students: Story Elements
Alliterative adjective nicknames generate stories inspired by Rosemary Wells' book Noisy Nora (also a thematic complement to any class with children who make a ruckus to get attention). Class members explore basic story elements --...
CK-12 Foundation
Work and Force: Lifting a Bucket
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
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...
Flipped Math
Calculus AB/BC - Selecting Techniques for Antidifferentiation
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
Math Wire
Gingerbread Man Chain
Plan ahead with a holiday-themed math word problem. Pupils read a description of a gingerbread chain, including measurements and connections, and decide how long the chain should be to cover the top and bottom of a 72 inch bulletin board.
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...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Baylor College
Air: The Math Link
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic...
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Curated OER
Evaluate Integrals
In this evaluate integrals worksheet, learners solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
Curated OER
Calc 2 Review Problems - Integral
In this integral worksheet, students review finding integrals by using various methods from Biller, Blaski, Fuentes, Juarez, Piazza, Salazar, Smith, and Youn. This two-page worksheet contains approximately 16 problems.
Curated OER
Calc 3 Review Problems - Function
In this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
Curated OER
Worksheet 13: Integrals
In this integral worksheet, students evaluate integrals, determine the constant density and variable density of given problems. This two-page worksheet contains sixteen problems.
Curated OER
Improper Integrals
In this improper integral worksheet, students evaluate the improper integral, draw pictures of improper integrals, and identify the limits. This four-page worksheet contains fifteen problems.
Curated OER
Worksheet 4: Evaluating Integrals
In this integral worksheet, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page worksheet contains approximately...
Curated OER
Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
For this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, learners are given the graph of a functions and asked to...
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
Practicing Integration by Substitution
In this integration worksheet, students evaluate integrals using integration by substitution. This two-page worksheet contains explanations, examples and six problems to solve.
Curated OER
Setting Up Definite Integrals Using Local Approximations First
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
Curated OER
Worksheet 8 - Double Integrals
In this double integral activity, students compute the antiderivatives, explore the order of integration, and determine the double integrals of given functions. They sketch the volume of a solid represented by double integrals. This one...
Curated OER
Challenge Sheet 9: Improper Integrals
In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Curated OER
Math 312 Spring 2004 Bonus Quiz. Integrals
In this integral worksheet, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page worksheet contains five problems.