AP Test Prep
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Flipped Math

Calculus AB/BC - Unit 2 Review: Differentiation

For Students 10th - 12th
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Interactive
CK-12 Foundation

Vector Sum and Difference: The Country of Dreams

For Students 11th - Higher Ed Standards
Find your way around using vectors. Scholars use an interactive to learn about vector addition. They answer a set of questions about modeling a route on a map using vectors.
Lesson Plan
Curated OER

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
AP Test Prep
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Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Interactive
Curated OER

Review of Precalculus

For Students 11th - 12th
In this Pre-calculus worksheet, student’s knowledge of a wide variety of topics is assessed in this on-line review.  The one page interactive worksheet contains fifty problems.  Answers are not provided. 
AP Test Prep
College Board

1999 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
AP Test Prep14:45
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Flipped Math

Calculus AB/BC - Verifying Solutions for Differential Equations

For Students 10th - 12th
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
AP Test Prep10:22
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Flipped Math

Calculus AB/BC - Differentiating Inverse Functions

For Students 10th - 12th
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
AP Test Prep12:17
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Flipped Math

Calculus AB/BC - Solving Related Rates Problems

For Students 10th - 12th
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
AP Test Prep
College Board

2001 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
AP Test Prep7:06
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Flipped Math

Calculus AB/BC - Modeling Situations with Differential Equations

For Students 10th - 12th
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
AP Test Prep5:08
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Flipped Math

Calculus AB/BC - Connecting Multiple Representations of Limits

For Students 10th - 12th
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
AP Test Prep12:33
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Flipped Math

Calculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing

For Students 10th - 12th
Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...
AP Test Prep6:53
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Flipped Math

Calculus AB/BC - Rates of Change in Applied Contexts Other Than Motion

For Students 10th - 12th
Stay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...
Lesson Plan
Curated OER

Review of Techniques of Integration

For Teachers 12th
Twelfth graders review techniques of integration. For 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...
AP Test Prep
College Board

1998 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a test run. Pupils use the questions to practice taking the free-response section of the AP® Calculus BC exam. Teachers see the different ways questions appear on the exam to prepare individuals for whatever comes their way on...
Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
AP Test Prep12:31
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Flipped Math

Calculus AB/BC - General Solutions Using Separation of Variables

For Students 10th - 12th
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...
Interactive
Curated OER

Review of Calculus BC I

For Students 10th - 12th
In this review worksheet, learners match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, learners solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
Interactive
CK-12 Foundation

Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...