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 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 lesson, 12th graders investigate the capabilities of a graphing calculator to assist with explorations into calculus principles and proof. 
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 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. 
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.
Twelfth graders assess their knowledge of trig functions and their properties. In 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.
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.    
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
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.
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 explore differential equations.  In 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. 
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
In this calculus lesson, students review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations.  The two page worksheet contains sixteen problems.  Answers are not provided. 
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. 

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