AP Test Prep11:41
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Flipped Math

Calculus AB/BC - The Product Rule

For Students 10th - 12th
There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...
AP Test Prep9:36
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Flipped Math

Calculus AB/BC - The Quotient Rule

For Students 10th - 12th
Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...
AP Test Prep19:26
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Flipped Math

Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
Lesson Plan
Curated OER

NEXT GENERATION SPACECRAFT-Orion

For Teachers 11th - 12th
Students investigate the volume of a solid.  In this calculus lesson plan, students use integration to find the volume of a solid generated by a region, the Orion crew module. 
Interactive
Curated OER

Differentiation Using the Chain Rule

For Students 10th - 12th
In this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.
Interactive
Curated OER

Product Rule

For Students 9th - 10th
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
Worksheet
Curated OER

Differentiation Using the Quotient Rule

For Students 11th - 12th
In this calculus learning exercise, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Interactive
Curated OER

Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
In this calculus worksheet, learners solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
Interactive
Curated OER

Implicit Differentiation Problems

For Students 9th - 10th
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus worksheet, learners solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
Lesson Plan
Curated OER

One Revolution for Robot

For Teachers 8th - 12th
Learners calculate the revolution and circumference of circles. In this calculus lesson plan, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
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...
Activity
Houston Area Calculus Teachers

Collecting Driving Data

For Students 11th - Higher Ed
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...
Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Lesson Plan
Curated OER

The Intermediate Value Theorem

For Teachers 11th - Higher Ed
You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Activity
Houston Area Calculus Teachers

Polynomial Graphing

For Students 11th - Higher Ed Standards
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
Lesson Plan
Curated OER

Introduction To Calculus

For Teachers 11th - 12th
Students engage in a activity that is about an introduction to the course of calculus. They practice some of the basic concepts and solve some problems applying different principals of calculus. The teacher uses the sample problems...
AP Test Prep
College Board

Seeing Is Believing

For Teachers 11th - Higher Ed
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.

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