Texas Instruments
Texas Instruments: Approximating Integrals With Riemann Sums
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
Texas Instruments
Texas Instruments: Sums of Rectangle Areas: Approximate Integrals
This activity will show a function with rectangle areas on the graphing calculator.
Texas Instruments
Texas Instruments: Exploring Taylor's Integrals
In this activity, the students will learn the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They learn this by completing a series of calculations that vary from integrating to finding a...
TeachEngineering
Teach Engineering: Build an Approximate Scale Model of an Object
Students will create a model of an object of their choice, giving them skills and practice in techniques used by professionals. The students will use sketches as they build their objects. This activity will facilitate a discussion on...
TeachEngineering
Teach Engineering: Discovering Phi: The Golden Ratio
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...
TeachEngineering
Teach Engineering: Exploring Acceleration With an Android
Students conduct an experiment to study the acceleration of a mobile Android device. During the experiment, they run an application created with MIT's App Inventor that monitors linear acceleration in one-dimension. Students use an...
TeachEngineering
Teach Engineering: Conduction, Convection, and Radiation
With the help of simple, teacher-led demonstration activities, students learn the basic concepts of heat transfer by means of conduction, convection, and radiation. Students then apply these concepts as they work in teams to solve two...
TeachEngineering
Teach Engineering: Android Acceleration Application
This unit includes two sequential lessons. In the first, students create mobile apps that collect data from an Android device's accelerometer and then store that data to a database. This lesson provides practice with MIT's App Inventor...
TeachEngineering
Teach Engineering: Bernoulli's Principle
Bernoulli's principle relates the pressure of a fluid to its elevation and its speed. Bernoulli's equation can be used to approximate these parameters in water, air or any fluid that has very low viscosity. Students learn about the...
Shodor Education Foundation
Shodor Interactivate: Inte Great!
This activity allows the user to visually explore the idea of integration through approximating the integral value with partitions. The user controls the number of partitions, the upper and lower limits, and the method used to estimate...
Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...
TeachEngineering
Teach Engineering: Hot Cans and Cold Cans
Students apply the concepts of conduction, convection, and radiation as they work in teams to solve two problems. One problem requires that they maintain the warm temperature of one soda can filled with water at approximately body...
TeachEngineering
Teach Engineering: Bury Your Trash!
This activity will allow students to bury various pieces of trash in a plotted area of land outside. After approximately two to three months, the trash will be uncovered to allow the students to investigate what types of materials...
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Graphing Calculator Programs
The resource is a graphing calculator program used for numerical integration. The program uses trapezoid and Simpson approximations. Instructions on how to use the programs are included.
Washington State University
Washington State University: Estimate the Area Under a Curve
You can have a good time with this java applet that lets you place adjustable shapes under a curve and then sums the areas to approximate the area of the curve.
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 38 [Pdf]
The exercise examines the relationship between a differential equation, a point, and a slope field. Students sketch two approximate solutions and use integration to find the particular solution. The practice problem is available in PDF...
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 39 [Pdf]
The exercise examines the relationship between a differential equation, a point, and a slope field. Students sketch two approximate solutions and use integration to find the particular solution. The practice problem is available in PDF...
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 44 [Pdf]
Learners use integration and a slope field to find particular and approximate solutions of a given differential equation. The handout is available in PDF format and includes a slope field.
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 45 [Pdf]
Learners use integration and a slope field to find particular and approximate solutions of a given differential equation. The handout is available in PDF format and includes a slope field.
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 40 [Pdf]
Students investigate how to use a differential equation, point, and slope field to find approximate and particular solutions of a given differential equation. The handout consists of an enlarged printable version of a slope field in PDF...
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 41 [Pdf]
Students investigate how to use a differential equation, point, and slope field to find approximate and particular solutions of a given differential equation. The handout consists of an enlarged printable version of a slope field in PDF...
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 42 [Pdf]
Students find approximate and particular solutions of a given differential equation. The resource consists of an enlarged printable version of a slope field available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Solutions on a Slope Field 43 [Pdf]
Students find approximate and particular solutions of a given differential equation. The resource consists of an enlarged printable version of a slope field available in PDF format.