Integration and Area Teacher Resources
Find Integration and Area lesson plans and worksheets
Showing 1 - 24 of 150 resources
Properties of the Definite Integral
8 mins 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
Trapezoidal and Midpoint Approximations: Area of a Skirt
11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8
21 mins 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
11th - 12th
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
The Second Fundamental Theorem of Calculus
2 mins 11th - Higher Ed
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...
I'm Lovin' It: Finding Area Between Curves
11th - Higher Ed CCSS: Designed
Students explore the concept of finding the area between two curves. In this finding the area between two curves lesson, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to represent the...
What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9
13 mins 11th - Higher Ed
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3
19 mins 11th - Higher Ed
Geometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.