Integrals Teacher Resources
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The Fundamental Theorems of Calculus
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The calculus controversy paper is not included but one can find a number of good resources on the Internet regarding the development of calculus and the role of Newton and Leibnez.
11th - Higher Ed Math 21 Views 78 Downloads
Riemann Sums and the Fundemental Theorem of Calculus
Students explore the Fundamental Theorem of Calculus. In the Calculus lesson, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus.
11th - 12th Math 10 Views 50 Downloads
Why we Use Theorem In Calculus
Students read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
12th - Higher Ed Math 3 Views 20 Downloads
Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. For this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
12th Math 3 Views 13 Downloads
Definite Integrals and Area Under a Curve
Students explore the concept of definite integrals. In this definite integrals lesson, students find the area between two curves. Students use the Ti-Nspire to find the definite integrals of curves such as sine and cosine.
11th - Higher Ed Math 6 Views 32 Downloads
Students use a graphing calculator to do calculations and edit their calculations using script. In this graphing calculator lesson plan, students compute the length of intervals given in parametric form. Students verify the results for specific given functions and define the critical points where the first derivative is found.
12th - Higher Ed Math 3 Views 19 Downloads
Sum of Rectangle Areas to Approximate Integrals
Students explore the concept of approximating integrals. In this approximating integrals instructional activity, students approximate integrals by finding the area of rectangles. Students use a graphing calculator to find the left, right, and midpoint riemann sums.
11th - 12th Math 3 Views 13 Downloads
Approximating Integrals with Riemann Sums
Students practice calculating and analyzing Riemann sums and illustrate when Riemann sums will over/under-approximate a definite integral. They view how the convergence of Riemann sums as the number of subintervals get larger.
9th - 12th Math 4 Views 14 Downloads
Applications of Integrals
Twelfth graders investigate applications of integration. In this Calculus lesson, 12th graders use the TI-89 to explore various problem solving techniques including symbolic, graphical, and numeric methods of solving applications of integrals.
12th Math 6 Views 15 Downloads
Calculus Practice Test: Velocity, Functions
For this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This five-page worksheet contains 14 problems.
10th - 11th Math 5 Views 19 Downloads