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Sequence Lesson Plans
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Learners investigate sequences and series numerically, graphically, and symbolically. In this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence.
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.
Learners explore the concept of differential calculus. In this differential calculus lesson, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions. Learners use their Ti-89 to find the gradient of the secant and tangent.
Twelfth graders investigate slope fields and Euler’s Method. In this calculus lesson plan, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential equations.
Students investigate the capabilities of the TI-89 calculator. In this Calculus instructional activity, 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.
Students solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.
Pupils solve problems using limits. In this calculus lesson, students calculate the solution to a problem by substituting in positive integers. They relate the sequence output as it relates to the limit of a function.
Students complete calculus calculations involving the structure and properties of matter and determining the center of gravity.
Young scholars compute the longest piece of furniture that can be taken around a corner. In this application of calculus problem, students use their TI-84 calculator to compute the size of the largest piece of furniture that can be taken around two corners. They first ignore all measurements except length, then compute allowing for depth of an object. There are ten exercises with varying degrees of directions that lead the student through the process.
Twelfth graders explore differential equations. In this calculus lesson plan, 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.
