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Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Infestation to Extermination
High schoolers solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson plan, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Sequences
Students solve problems using the TI. In this calculus lesson plan, students evaluate functions using sequences. They graph the functions on the TI and make observations.
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Convergence of Taylor Series
Students analyze taylor series for convergence. In this calculus instructional activity, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
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Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
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Listen and Line Up
High schoolers practice the derivative using an interactive activity. For this calculus lesson they explore the derivative by playing a game. Each student gets a turn at being the caller.
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Applied Maxim Mininmum Problems
Students define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle and analyze perpendicular lines intersecting the circle in only one place. This activity works best if...
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Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus instructional activity, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The instructional activity promotes the idea...
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Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
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Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
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The Derivative as a Limit
Students investigate derivatives. In this calculus lesson plan, students investigate the derivative as a limit through the use of the TI-89.
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NUMB3RS Activity: Narrowing the Search
Students explore the length of an n-dimensional vector. In this Algebra II/Pre-calculus instructional activity, students investigate an expansion of the Pythagorean Theorem to n-dimensional space.
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Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson plan. They investigate the cost of a new car by calculating depreciation and payments.
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Checking Equivalence
High schoolers solve equations. In this calculus lesson, students compare equations and identify equivalencies. They compare and approximate fractions and decimals.
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.