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...
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...
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
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.
Curated OER
Day One Dance Workshop
Fifth graders complete a unit of lessons on the definition of dance. They view videos of various dances, compare/contrast the dances viewed, categorize a list of words about dance on a handout, write journal responses, and perform dance...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
Curated OER
Riemann Sums and the Definite Integral
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
Curated OER
Acting on Integrity
Students explore philanthropy and integrity. In this philanthropy lesson, students define the word "integrity," and role play various scenarios to demonstrate integrity.
Curated OER
Timed Caluculus Exam
In this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
Curated OER
Barehands Integration
For this calculus worksheet, 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.
Curated OER
Numerical Integration
For this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
Curated OER
Numerical Methods of Integration
Students review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...
Curated OER
Active Reading with American History
Explore connections within and between informational texts with this lesson about encyclopedia articles. Middle schoolers write encyclopedia articles focusing on topics in American history. They discuss how to determine credibility...
Curated OER
Complex Analysis: Residues and Real Integrals
For this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Curated OER
And Others?
Having integrity is often easier said than done. After completing the first lesson in a unit on being true to themselves and their values, learners engage in a discussion about three different people in difficult situations that call for...
Curated OER
Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
Curated OER
Multivariable Calculus: Multiple Integration
In this multiple integration activity, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves. ...
Curated OER
Introduction to Integration by Substitution
In this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
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