Download free 90-day trial versions of the most popular TI software and handheld emulators.
Check out TI Rover activities that put math, science and coding in motion.
Customize your summit experience with sessions on math, STEM, coding and more.
Students explore Riemann sums to find the approximate area under the graph of a parabola on the interval [0, 1].
Students focus on two questions that define the activity:
How can you use rectangles to approximate the area under the curve y=y 2 and above the x-axis.
Is there a way to use rectangles to find the exact area under the curve?
Students make use of five right-endpoint rectangles to find an approximation of the area under the curve.
Students will be introduced to the Riemann sum. They explore the Riemann sum with right-endpoints.
Next, students use five left-endpoint rectangles to find an approximation of the are under the curve.
Finally, students summarize their findings. They will notice that the concavity of a function and whether it is increasing or decreasing will determine which estimates are overestimates verses underestimates.
© Copyright 1995-2018 Texas Instruments Incorporated. All rights reserved.