Activity Description InteGreat! allows the user to visually explore the idea of integration through approximating the integral value with partitions. The activity integrates a function and displays the value of the definite integral as well as overlays the specified number of partitions on the graph of the function. The user controls the number of partitions and the upper and lower limits.

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InteGreat!

Place in mathematics curriculum:

This activity can be used to:

• learn about different integration techniques
• experiment with computational error

This activity allows the user to explore the meaning of an integral and how it can be approximated using different Riemann's sums. The user can adjust various settings and see how this affects the value of the integral. This activity would work well in small groups of one or two people for about 20-25 minutes if you use the exploration questions and 15-20 minutes otherwise.

Preparations for this activity:

• Explain what an integral is
• Explain the different integration techniques
• Explain Small-Number Addition Error
• Explain how the integral is related to area