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 instructional activity 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
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 7 Views 32 Downloads
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them work their way up to more complicated integrations.
11th - Higher Ed Math 4 Views 24 Downloads
Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive feeling for indefinite integrals.
11th - Higher Ed Math 3 Views 11 Downloads
Lesson 33- Integration by Substitution continued
Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem. Six practice problems are included with space to do the work, as well as a suggestion of ten homework problems from the book.
11th - 12th Math 3 Views 10 Downloads
I'm Lovin' It: Finding Area Between Curves
Young scholars 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. Young scholars find functions to represent the logos.
11th - Higher Ed Math 5 Views 25 Downloads CCSS: Designed
Sum of Rectangle Areas to Approximate Integrals
Young scholars explore the concept of approximating integrals. In this approximating integrals lesson, students approximate integrals by finding the area of rectangles. Young scholars use a graphing calculator to find the left, right, and midpoint riemann sums.
11th - 12th Math 3 Views 13 Downloads
AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned topics.
11th - 12th Math 3 Views 49 Downloads CCSS: Designed
Introduction to Limits
Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes some of the reasoning that goes into the understanding of limits.
8 mins 11th - Higher Ed Math 3 Views 3 Downloads