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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.
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Derivative Grapher
Learners graph the derivative of functions in this calculus lesson plan. 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
Students solve equations using a given derivative. In this calculus lesson plan, 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 plan. 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.
Texas Instruments
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 instructional activity, 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 lesson, students 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 instructional activity. 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
Students calculate the area under a curve. In this calculus lesson,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 plan, high schoolers 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, high schoolers create a visual of what is happening with the equation.
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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, 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 lesson. 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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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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Riemann Sums
Learners calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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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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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
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Torricelli's Law
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...