Sum Rule Teacher Resources

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Twelfth graders explore the concept of limits.  In this calculus lesson, 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. 
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.
Students explore the area under a curve.  In this calculus lesson plan, 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.
Young scholars 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.
In this numerical integration activity, 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.
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive worksheet contains fifty-two problems.  Answers are not provided. 
Twelfth graders explore differential equations.  For this calculus lesson, 12th graders explore Euler’s Methods of solving differential equations.  Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric solutions to a graphical solution. 
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 Algebra II/Pre-calculus worksheet, students examine a 10 X 10 array and determine the pseudotrace of the array.  The six page worksheet contains three problems.  Detailed solutions are provided. 
Students review integrals and how they apply to solving equations. In this calculus lesson plan, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the same test concept.    
Twelfth graders assess their knowledge of trig functions and their properties. For this calculus lesson, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the same test available.
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
In this Algebra II/Pre-calculus learning exercise, students analyze and build digital circuits.  The six page learning exercise contains eleven problems.  Answers not included. 
Students use the derivative and integral to solve problems involving areas. For 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.
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
Twelfth graders investigate derivatives.  In this calculus lesson plan, 12th graders use technology to explore the basic derivatives and how to choose the proper formula to use them.  The lesson plan requires the use of the TI-89 or Voyage and the appropriate application.
Students practice the concept of graphing associated to a function with its derivative. They define the concepts of increasing and decreasing function behavior and explore graphical and symbolic designs to show why the derivative can be used as an indicator for the behavior.
Students assess transformations to remove integral symbols as well as to simplify expressions. They explore the Symbolic Math Guide to assist them in solving indefinite integration by parts. This lesson includes partial fractions, sum/difference and scalar product transformations.
Here is a complete chapter on graphing linear equations and functions. Learners review graphing points on a coordinate plane, graph lines and functions, and write linear equations.

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