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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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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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The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. For this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
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Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. In this calculus lesson, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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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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MVT for Integrals
Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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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 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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Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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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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Riemann Rectangle Errors
Learners 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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Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus instructional activity, students define slope fields and what they are used for. They relate slope fields to the real world.
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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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Slope Fields
High schoolers create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus instructional activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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A.P. Exam Calculator Review
Learners review ways to use the calculator to graph a function, solve an equation, calculate a numerical derivative, and calculate a definite integral. They practice using their calculator to solve a set of sample exercises. Students...
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Graphs and Data
Students investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...