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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

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.

YouTubeMathcastorScreenCast 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.

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

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