Curated OER
Evaluating Definite Integrals With Substitution
Students investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The instructional activity includes example problems for the...
Curated OER
Social Studies: Character and Integrity
Students discover and discuss qualities that build character and integrity. Once they identify the influences involved in labeling and stereotyping, they examine various handouts involved in self-management and increasing their...
Curated OER
Integrals with Odd Powers of Secant and Tangent
Pupils discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They work...
Curated OER
Integral Worksheet
In this college level calculus worksheet, students evaluate the given definite integrals. The three page worksheet contains eight problems. Solutions are not provided.
Curated OER
Introduction to Integration
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how...
Curated OER
Review of Techniques of Integration
Twelfth graders review techniques of integration. In this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle puzzle...
Curated OER
Integration Review
For this calculus worksheet, 10th graders integrate derivatives using close integration rules. There are 4 problems to be solved.
Curated OER
Integration Formulas
Twelfth graders review differential formulas and find their corresponding integration formula. In this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems. They...
Curated OER
Summary of Techniques of Integration
Students define and review techniques for integration by parts. In this calculus lesson, students solve rational expression using integration and apply the partial fraction rule. They practice solving problems online.
Curated OER
Calculus Test: Integral
In this integral instructional activity, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page instructional activity contains 10...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
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...
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...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
College Board
2008 AP® Calculus AB Free-Response Questions Form B
How would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...
College Board
2004 AP® Calculus BC Free-Response Questions Form B
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
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...
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
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...
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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