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The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. For this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Calculus Inverse Derivative

For Teachers 9th - 12th Standards
High schoolers 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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Disc/Washer Method

For Teachers 8th - 10th
Students calculate the volume of solids. In this calculus instructional activity, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation...
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Riemann Sums

For Teachers 10th - 12th Standards
Students 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

For Teachers 9th - 12th Standards
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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Polar Graphs

For Teachers 9th - 12th Standards
Students graph polar graphs. In this calculus lesson, 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

For Teachers 9th - 12th Standards
Learners investigate the slopes and parametric equations. In this calculus instructional activity, 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

For Teachers 9th - 12th Standards
Students graph functions and analyze them. In this calculus instructional activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
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Texas Instruments

A Tale of Two Lines

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
Learners calculate the limits of functions. In this calculus instructional activity, high schoolers 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

For Teachers 9th - 12th Standards
Students identify critical points on a graph. In this calculus lesson plan, 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

For Teachers 9th - 12th Standards
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.
Lesson Plan
Texas Instruments

Continuity and Differentiability 1

For Teachers 9th - 12th Standards
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...
Lesson Plan
Texas Instruments

Mean Value Theorem

For Teachers 9th - 12th Standards
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.
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Concavity of a Graph

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
Student approximate the roots of E using Newtons Method. In this calculus lesson plan, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
Lesson Plan
Texas Instruments

Minimums, Maximums and Zeroes

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
Students analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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Optimization

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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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