Tutorial:Creating Dynamic Worksheets

Creating Dynamic Worksheets

In this activity you will learn how to create a dynamic worksheet that illustrates how lower and upper sums can be used to approximate the area between a function and the x-axis.

Preparations

• Open a new GeoGebra window.
• Show the Algebra View, Input Bar and coordinate axes (View Menu).

Construction Steps

1		Enter the cubic polynomial f(x) = -0.5x³ + 2x³ – x + 1
2		Create two points A and B on the x-axis Template:Hint: These points will determine the interval.
3		Create a slider for the number n (interval 1 to 50; increment 1)
4		Create uppersum = uppersum[f, x(A), x(B), n] Hint: x(A) gives you the x-coordinate of point A.
5		Create lowersum = lowersum[f, x(A), x(B), n]
6		Insert dynamic text Upper Sum = and select uppersum from Objects