Integrals Teacher Resources

Find Integrals educational ideas and activities

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Students explore the concept of arc length.  In this arc length instructional activity, students find the arc length of a sine curve over a specific interval using integrals.  Students use their Ti-Nspire to determine the integrals of sine curves.
Eleventh and twelfth graders find the volume of figures using cross sections. They use their Ti-Nspire to find the volume of a solid formed by cross sections of a function. Pupils find the integrals of the shapes using cross sections. 
Twelfth graders explore an application of the definite integrals.  In this calculus lesson, 12th graders graph three functions on the same domain and each goes through the same three points.  Students use the symbolic capacity of their calculator and calculus to find the shortest of each of the paths through these points.  Students explore the piece-wise linear function which also goes through the three points. 
Twelfth graders investigate an application of definite integrals.  In this Calculus lesson, 12th graders use the symbolic capacity of the TI-89 calculator and the concept of the definite integral to explore the area bounded by a function and the x-axis. 
Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for each block. When the blocks are removed, what appears to be a graph of an integral function, a natural logarithm, is left behind. Really revealing! 
Students explore Riemann Sums.  In this Calculus lesson, students investigate Riemann Sums as an approximation of the value of the definite integral.
Pupils explore natural logarithms.  In this calculus lesson, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Pupils solve problems involving exponential growth. 
Twelfth graders investigate convergence of an infinite series.  In this Calculus lesson, 12th graders apply the integral test to determine convergence of an infinite series. 
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
In this integral activity, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
In this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains ten problems. Answers are not provided. 
In this college level calculus instructional activity, students evaluate the given integrals using integration by parts.    The one page instructional activity contains six problems.  Answers are not provided. 
In this college level calculus worksheet students apply various integrations techniques and use integration to determine the area bounded by curves. The three page worksheet contains eight problems  Answers are not provided. 
Students explore the concept of finding the area between two curves. For 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 logos. Students find the area between two curves of each logo by taking the integrals of the functions.
Students calculate area under a curve using Riemann Sums. In this calculus lesson, students investigate the integral through estimation and calculation. They compare their approximate answer to their true answer.
In this college level calculus worksheet, students evaluate the given integrals and compute the given limits or show that the limit does not exist.  The three page worksheet contains ten problems.  Answers are not provided. 
In this college level calculus worksheet, students review various integration techniques.  The one page worksheet contains three problems.  Answers are not provided. 
In this circuits activity students complete a series of questions on equations, robotics and integration.  There is an answer sheet. 
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.
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.

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