Worksheet
Curated OER

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

For Students 12th - Higher Ed
In 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. ...
Activity
Illustrative Mathematics

#### 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...
Lesson Plan
Curated OER

#### Related Rates

For Teachers 12th
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
Worksheet
Curated OER

#### Integration

For Students 12th
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.
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.
Worksheet
Curated OER

#### Applications of Parabolas

For Students 11th
For 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.
Lesson Plan
Curated OER

#### Related Rates

For Teachers 12th - Higher Ed
Twelfth graders solve problems using related rates. For this calculus lesson, the students solve word problems following 8 different key steps. They solve 4 problems related to the real world.
Lesson Plan
Curated OER

#### Introduction to Applied Maximum Minimum Problems

For Teachers 12th
Twelfth graders solve problems by finding the maximum and minimum. In this calculus lesson, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real world application...
Lesson Plan
Curated OER

#### Getting a Little "Lift"out of Calculus

For Teachers 11th - 12th
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Lesson Plan
Curated OER

#### NUMB3RS - Season 2 - "Convergence" - Air Hockey

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

#### Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
For this function worksheet, learners read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Lesson Plan
Illustrative Mathematics

#### 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...
Lesson Plan
Curated OER

#### Types of Functions and Composition of Functions

For Teachers 10th - 12th
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 plan by...
Lesson Plan
Curated OER

#### Beginning the Year with Local Linearity

For Teachers 12th - Higher Ed
Young scholars investigate an article on local linearity. In this calculus lesson, 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 the real...
Lesson Plan
Curated OER

#### What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Students 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.
Lesson Plan
Curated OER

#### Exploring the FTC using the TI

For Teachers 11th - 12th
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
App
Texas Instruments

#### TI-Nspire™ CAS

For Students 8th - Higher Ed Standards
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...
App
1
1
Texas Instruments

#### TI-Nspire™

For Students 6th - Higher Ed Standards
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...
Lesson Plan
Curated OER

#### Limits with a Calculator

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

#### Fun Times with Integrals

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

#### Limits of Trigonometric Functions

For Teachers 11th - 12th
Pupils 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...
Lesson Plan
Curated OER

#### Cutting Corners - Parts 1 and 2

For Teachers 9th - 12th
Young scholars use optimization concepts to design their own container. For this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Lesson Plan
EngageNY

#### Newton’s Law of Cooling

For Students 9th - 10th Standards
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...
Lesson Plan
Curated OER

#### Speaking Parametrically

For Teachers 9th - 11th
Students solve equations by taking the derivative. In this calculus instructional activity, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.