# Real-World Calculus Teacher Resources

Find Real-World Calculus lesson plans and worksheets
Showing 1 - 24 of 102 resources
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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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#### Vector and Parametric Models of Projectile Motion

For Teachers 9th - 12th
High schoolers explore the vector model of projectile motion and then derive the parametric model from the vector model. Many formulas will be explored and used to solve a real-world situation. The class will be guided through solving a...
12:38
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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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#### 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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#### 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...
22:19
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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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#### Applications of Parabolas

For Students 11th
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
1 In 1 Collection
EngageNY

#### 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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#### Using a "Natural Function" not a equation to discuss derivatives

For Students 12th - Higher Ed
In this derivative learning exercise, 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...
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#### Introduction to Calculus

For Teachers 10th - Higher Ed Standards
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
1 In 1 Collection
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For Teachers 9th - 12th Standards
If you are navigating to find a terrific lesson on GPS (global positioning system) that incorporates math, geography, and science, then you have finally arrived! This is an ideal STEM lesson in which high schoolers learn the history of...
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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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#### 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...
Lesson Planet

#### Exploration of Periodic Phenomena

For Teachers 10th - 12th Standards
Learners apply many hands on materials as they study sinusoidal waves. In this calculus lesson, students relate periodic waves, to guitar string, microwave and many other real world materials. They create a link to the real world using...
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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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#### Measuring Up

For Teachers 6th - 8th
Proportional reasoning, ratio, and indirect measurement come to life in a series of seven lessons. Learners will convert measurements into customary and metric units. They also use real-world examples to solve problems involving scale as...
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#### Influenza epidemic

For Teachers 8th - 12th Standards
This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since the...
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#### Calculus at the Battle of Trafalgar

For Teachers 12th - Higher Ed
Students 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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#### What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Learners take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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#### Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
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#### Tides

For Teachers 7th - 9th Standards
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...