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Sum rule Teacher Resources
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Students explore the area under a curve. In this calculus lesson, students investigate Riemann sums as they employ technology to discover that if enough Riemann sums are used. Students then determine whether the area under a curve can be calculated with the required degree of precision. TI-nspire and appropriate applications are required.
Twelfth graders explore the Computer Algebra System of a calculator. In this calculus instructional activity, 12th graders investigate the capabilities of a graphing calculator to assist with explorations into calculus principles and proof.
Students find patterns in a sequence. In this sequences and series lesson, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series.
In this numerical integration worksheet, 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.
Students read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in the real world.
Twelfth graders explore the concept of limits. In this calculus instructional activity, 12th graders investigate the limit rules for both finite and infinite limits through the use of the TI-89 calculator. The worksheet includes examples for each rule and a section for students to try other examples.
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Students investigate the capabilities of the TI-89 calculator. In this Calculus lesson, students explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and trigonometry.
In this calculus worksheet, 11th graders integrate functions using the different methods of integration. They solve functions using the trigonometric functions. There are 45 problems with an answer key.
Students use the derivative and integral to solve problems involving areas. In this calculus lesson, students calculate the area under a curve as they follow a robot off road making different curves along the drive. They use Riemann Sums and Trapezoidal rules to solve the problem.