Curated OER
Errors in Riemann Sums
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
Curated OER
Connecting Riemann Sums to the Definite Integrals
In this math worksheet, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
Curated OER
Simpson's Rule
For this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
Curated OER
Evaluating Definite Integral Using Riemann Sums
In this integral worksheet, students use the Riemann Sum to estimate the value of a function. This two-page worksheet contains two problems.
Curated OER
Summation Notation, Area, Riemann Sums
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
Curated OER
Worksheet 8 - Spring 1996
In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Curated OER
Riemann Sums
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
Curated OER
Riemann Sums
In this college calculus instructional activity, students write the Riemann Sum for the indicated partition and sub-intervals. The two page instructional activity contains five problems. Answers are not included.
Curated OER
Lesson #94 Exact Area Under a Curve
Students research Riemann Sums. In this area instructional activity students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
Curated OER
Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
Harvey Mudd College
Harvey Mudd College: Fundamental Theorem of Calculus
This site explains the fundamental theorem of calculus with examples.
Texas Instruments
Texas Instruments: Programming to Find Area Under a Curve
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.
Texas Instruments
Texas Instruments: Integral Calculus
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.
Texas Instruments
Texas Instruments: Riemann Sums
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches
Students learn how to evaluate the definite integral using numerical and graphical approaches. Topics examined are Riemann sums and the definite integral. The tutorial explores the calculus concepts through notes and examples. Review...
Texas Instruments
Texas Instruments: Approximating Integrals With Riemann Sums
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
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,...
Analyze Math
Analyze Math: Definition of Definite Integrals Riemann Sums
The applet examines the definition of the definite integral.
University of Texas at Austin
Net Math: Upper and Lower Riemann Sums
Word intensive and detailed site explaining the Riemann Sums.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Numerical Integration Utility
The integration tool integrates and graphs functions that student enter into the tool. The tool uses the trapezoidal rule, Riemann sums, and Simpson rule to integrate the function.