Curated OER
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.
Texas Instruments
Mean Value Theorem
Students 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.
Curated OER
Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson plan, high schoolers identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Curated OER
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.
Curated OER
Filling The Urn
High schoolers 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.
Curated OER
Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.
Texas Instruments
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...
Curated OER
Derivative Analysis
Students analyze the derivative of a graph. In this calculus activity, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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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.
Texas Instruments
Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson plan. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Curated OER
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 instructional activity. 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. For this calculus lesson, young scholars solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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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.
Curated OER
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...
Curated OER
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.
Curated OER
Infestation to Extermination
Students 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.
Curated OER
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.
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson plan. 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.
Curated OER
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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