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Texas Instruments

Sands of Time

For Teachers 9th - 12th
Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice.  Using data relating to the solstices at...
Lesson Plan
Curated OER

Evaluating Definite Integrals with Substitution

For Teachers 11th - 12th
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
AP Test Prep
College Board

Why We Use Theorem In Calculus

For Teachers 11th - Higher Ed
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
Lesson Plan
Curated OER

Numerical Methods of Integration

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson plan, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
Activity
Mrs. Burke's Math Page

Let Them Eat Pi

For Teachers 7th - 12th Standards
Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...
Lesson Plan
Curated OER

Summary of Techniques of Integration

For Teachers 11th - 12th
Students define and review techniques for integration by parts. In this calculus lesson, students solve rational expression using integration and apply the partial fraction rule. They practice solving  problems online. 
Lesson Plan
Curated OER

Definite Integral

For Teachers 9th - 12th Standards
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
Lesson Plan
Curated OER

The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson plan, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Lesson Plan
Curated OER

Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
Curated OER

Integration By Substitution

For Teachers 9th - 12th Standards
Young scholars calculate the solution using integrals in this calculus lesson plan. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Lesson Plan
Texas Instruments

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Lesson Plan
Curated OER

Elevator Height as Integral of Velocity

For Teachers 9th - 12th Standards
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
Lesson Plan
Curated OER

Solids of Revolution - Disks

For Teachers 9th - 12th Standards
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
Lesson Plan
Curated OER

The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Learners discuss the importance of fundamental theorems in math. In this calculus instructional activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to...
Lesson Plan
Curated OER

Integration by Parts

For Teachers 11th - 12th
Students explore integration by parts and use it to solve equations. For this calculus lesson, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals and discuss when...
Lesson Plan
Curated OER

Integrals with even Powers of Sine and Cosine

For Teachers 12th
Twelfth graders define integrals and solve equations with trig functions. In this calculus instructional activity, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 11th - 12th
Students define integrals and list the trig values. In this calculus instructional activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
Lesson Plan
Curated OER

Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. In this caclculus instructional activity, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
Lesson Plan
Statistics Education Web

It Creeps. It Crawls. Watch Out For The Blob!

For Students 9th - 12th Standards
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
Lesson Plan
Curated OER

Area Under A Curve

For Teachers 9th - 11th
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
Lesson Plan
Curated OER

MVT for Integrals

For Teachers 10th - 12th
Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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.