Real-World Calculus Teacher Resources
Find Real-World Calculus lesson plans and worksheets
Showing 91 resources
Illustrative Mathematics
Influenza epidemic
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...
Curated OER
Related Rates
Twelfth graders rewrite word problems using equations. For this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
Curated OER
Integration
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
College Board
Seeing Is Believing
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.
Curated OER
Applications of Parabolas
In this algebra instructional activity, 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...
Curated OER
Related Rates
Twelfth graders solve problems using related rates. For this calculus instructional activity, the students solve word problems following 8 different key steps. They solve 4 problems related to the real world.
Curated OER
Introduction to Applied Maximum Minimum Problems
Twelfth graders solve problems by finding the maximum and minimum. In this calculus instructional activity, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real...
Curated OER
Getting a Little "Lift"out of Calculus
Young scholars, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Curated OER
NUMB3RS - Season 2 - "Convergence" - Air Hockey
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
Curated OER
Exploration 1: Instantaneous Rate of Change Function
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.
Illustrative Mathematics
Tides
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...
Curated OER
Types of Functions and Composition of Functions
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
Curated OER
Beginning the Year with Local Linearity
Students investigate an article on local linearity. In this calculus instructional activity, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to...
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. For this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
Curated OER
Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus instructional activity, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in...
Texas Instruments
TI-Nspire™ CAS
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
Texas Instruments
TI-Nspire™
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...
Curated OER
Limits with a Calculator
Students investigate Limits using a graphing calculator or TI. In this calculus lesson, students solve limit problems through modeling and relation to the real world. They use correct notation and solve problems involving more than one...
Curated OER
Fun Times with Integrals
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between models...
Curated OER
Speaking Parametrically
Learners solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
Curated OER
River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...