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DIY Simulator of Left Riemann Sums

Page history last edited by LFS 9 years, 10 months ago

Home > Do Mathematics -> Calculus -> Integration -> DIY Simulator of Left Riemann Sums


Build your own Simulator:  DIY Left Riemann Sums - Own the Math with MadMath

Scenario:  A student of beginning calculus looks at the formulas for Riemann Sums.   Formulas

Formula       Formula      Formula

She says to herself - “More i’s than a fly. I can just have my calculator do this. But her teacher is MadMath who wants her to understand what is happening and tells her to make up a GeoGebra worksheet to show and do the calculations. She knows MadMath can change the function, change the interval and change the number of subintervals so she must be prepared.

 
YouTube Mathcast or ScreenCast Mathcast (if YT is blocked) (coming soon...)

 

Exploring Interactivity: Watch and then explore the construction Directions for InterActivity

Click on Play to see the construction unfold. These are the steps you will follow in the DIY.

1. To change the number of intervals, click and drag slider n.

2. To change interval of integration, type new values for a and b on the input line: example: a=0 (enter) and then b = 10 (enter).

3. To change the function, type new f(x) on input line.

4. Use ctrl+mouse scroll to zoom and shift +mouse drag to pan (or double-click to open in geogebra).

5. To turn off the Algebra view (at left), click on View -> Algebra View.

 
Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now) 
 

DIY GeoGebra Interactivity: Build your Own Left Riemann Sum Applet (Directions below)

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
 
 
Simulator Directions and Good Questions Worksheet
 

Metadata

Global Calculus with GeoGebra
Brief Build your own Left Riemann Sum Applet
Grade 11th-up
Strand Calculus
Standards CA - CAL 13
Keywords Riemann Sums, integral, approximation, calculus, simulator, madmath
Comments none
Download You can download everything; a zip is in progress ...
Author Terry Gastauer and LFS - contact
Type Freeware - Available for Offline and Online Use - Translatable (html)
Use Requires sunJava player
 

Related Topics: Riemann Sums Classroom Simulator


Home > Do Mathematics -> Calculus -> Integration -> DIY Simulator of Left Riemann Sums
 

Riemann Sums, integral, approximation, calculus, simulator, madmath, geogebra, application, geometry, program

 

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