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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson plan, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in...
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Calculus Test
In this calculus activity, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page activity contains twenty-eight multiple choice questions. ...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
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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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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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Polar Graphs
Young scholars graph polar graphs. In this calculus lesson plan, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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Epsilon-Delta Window Challenge
Students graph functions and analyze them. In this calculus lesson, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
Texas Instruments
A Tale of Two Lines
Students 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 instructional activity, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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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.
Texas Instruments
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...
Texas Instruments
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.
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...
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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.