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The Second Fundamental Theorem of Calculus
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
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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The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
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Calculus Inverse Derivative
Students 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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Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus lesson, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom. This assignment...
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The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
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Calculus at the Battle of Trafalgar
Students read an article on how calculus is used in the real world. In this calculus instructional activity, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses...
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Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
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Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create...
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One Revolution for Robot
Students calculate the revolution and circumference of circles. In this calculus lesson plan, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
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Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Integral Calculus
From derivatives to antiderivatives and back again. Building on the second activity of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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Maxima and Minima Problems
Learners calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...
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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. 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
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
Learners investigate the slopes and parametric equations. For 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.
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A Tale of Two Lines
Learners 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. In this calculus activity, 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
High schoolers 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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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus instructional activity. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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