# Real-World Calculus Teacher Resources

Find Real-World Calculus lesson plans and worksheets
Showing 65 resources
73 Items in Unit Module
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#### AP Calculus AB Unit 6: Integration and Accumulation of Change

For Teachers 11th - 12th
The 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...
46 Items in Unit Module
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#### AP Calculus AB Unit 4: Contextual Applications of Differentiation

For Students 11th - 12th
The eight lessons in AP Calculus AB Unit 4 focus on the contextual applications of differentiation. Each lesson includes an overview, an instructional video, practice problems, and solutions. Scholars first review the connection between...
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#### Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities can be...
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#### Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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#### 2004 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
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#### Calculus AB/BC - Exponential Models with Differential Equations

For Students 10th - 12th
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
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#### 2011 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
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#### 2003 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
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#### 2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
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...
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#### Calculus AB/BC - Interpreting the Derivative in Context

For Students 10th - 12th
Put math in a real-life context to increase connections to the concept. Pupils view a short video that first reviews the connection between derivatives and rates of change. They learn how to interpret the derivative in contextual...
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#### 2011 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
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#### 2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
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...
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#### What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9

For Students 11th - Higher Ed
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
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#### 2007 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
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#### 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...
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#### Take Your Medicine 2

For Teachers 9th - 12th
Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...
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#### Calculus at the Battle of Trafalgar

For Teachers 12th - Higher Ed
Learners read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in...
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#### 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,...
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#### 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...
22:20
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#### Taylor Series | Essence of Calculus, Chapter 10

For Students 11th - Higher Ed
Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.
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#### Promote Precalculus

For Teachers 10th - 12th
Use projects, real-world activities, and games to bring precalculus to life for students.
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#### End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
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#### 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...
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#### Using a "Natural Function" not a equation to discuss derivatives

For Students 12th - Higher Ed
For this derivative worksheet, students relate the concept of the derivative to the "real world" model of seasons.  Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this model. ...