Texas Instruments: Approximating Integrals With Riemann Sums

There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...

Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...

This site discusses a Riemann Sum and how it relates to Integral Calculus. Includes definitions, graphs, and a customizable database for figuring a Riemann Sum.

Young scholars calculate the area under a curve. For this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.

In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...

Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.

In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...

Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the...

Students will learn how to program the TI 83/84 Plus graphing calculator to approximate the area under a curve using Left,Right,Midpoint Riemann Sums, and Trapezoid Rule, and Simpson's Rule.

In this activity, students use various features of the calculator to investigate some of the fundamental concepts of integral calculus. They study Riemann Sums and explore limitations of numerical integration.