In this numerical integration learning exercise, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

In this Simpson's Rule instructional activity, 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...

Students research Riemann Sums. In this area lesson plan 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.

Students apply their knowledge of integration on this test. For this calculus lesson, students answer question about, riemann sums, integrals and calculate area under a curve. This lesson review these concepts and includes a test for the...

Students calculate the area under a curve. In this calculus instructional activity, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.

Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...

In this math learning exercise, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.

Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...

In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...

In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.

Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...

In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.

In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.

In this math worksheet, learners examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.

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.

Word intensive and detailed site explaining the Riemann Sums.

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...

This site explains the fundamental theorem of calculus with examples.

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,...

In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...

The applet examines the definition of the definite integral.

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.

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...