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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. For 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, 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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Limit of a Sequence
Young scholars solve problems using limits in this calculus activity. 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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Convergence of Taylor Series
Learners analyze taylor series for convergence. In this calculus lesson, 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. In 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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Sequences
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.
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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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Is There a Limit to Which Side You Can Take?
Calculus learners 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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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The activity provides examples with solutions and practice problems.
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Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math lesson plan, 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...
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Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
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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 activity. 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
High schoolers investigate derivatives. In this calculus lesson, 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 lesson, 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. They investigate the cost of a new car by calculating depreciation and payments.
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Checking Equivalence
Young scholars solve equations. In this calculus lesson, students compare equations and identify equivalencies. They compare and approximate fractions and decimals.
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Local Linearity
In order to investigate local linearity, young scholars graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.