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A Tale of Two Lines
High schoolers graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Limits at Infinity
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
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Basic Limits
Learners calculate the limits of functions. For this calculus lesson, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
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Critical Points
Students identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry instructional activity, students create secant lines on the navigator to analyze the derivative. They move the lines around and make...
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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Local Linearity
In order to investigate local linearity, students 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.
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Derivative Grapher
Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Calculus Inverse Derivative
Young scholars solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
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Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Graphical Derivatives
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
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Mean Value Theorem
High schoolers calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Concavity of a Graph
Learners explore the graph of a function. In this calculus activity, high schoolers identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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Position, Distance, Velocity
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
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Filling The Urn
Learners calculate the area under a curve. In this calculus lesson plan,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus lesson, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, learners create a visual of what is happening with the equation.
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Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
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Derivative Analysis
High schoolers analyze the derivative of a graph. In this calculus instructional activity, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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Optimization
Learners identify the critical points to a function. In this calculus lesson plan, students perform optimization of functions. They use the TI to create a visual of the graph.
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Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
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Integration By Parts
Pupils solve problems using integration by parts in this calculus instructional activity. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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