Lesson Plan
Curated OER

Definite Integral

For Teachers 9th - 12th Standards
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.
Lesson Plan
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Shortest Path

For Teachers 9th - 12th
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
Lesson Plan
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The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
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...
Lesson Plan
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The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Young scholars define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area...
Lesson Plan
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Evaluating Definite Integrals with Substitution

For Teachers 11th - 12th
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
Activity
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Texas Instruments

Sands of Time

For Teachers 9th - 12th
Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice.  Using data relating to the solstices at...
Lesson Plan
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The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
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...
Lesson Plan
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MVT for Integrals

For Teachers 10th - 12th
Students identify the meaning of the Mean Value Theorem. For this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
Lesson Plan
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Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
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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 plan, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Lesson Plan
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The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
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.
Lesson Plan
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Disc/Washer Method

For Teachers 8th - 10th
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...
Lesson Plan
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Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Students 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.
Lesson Plan
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Solids of Revolution - Disks

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

Quartic Regions

For Teachers 9th - 12th Standards
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Lesson Plan
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What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Students take the derivative of a function. In this calculus activity, students define slope fields and what they are used for. They relate slope fields to the real world.
Lesson Plan
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Riemann Sums

For Teachers 10th - 12th Standards
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Lesson Plan
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Slope Fields

For Teachers 9th - 12th Standards
Students 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.
Lesson Plan
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Trapezoid and Midpoint Rule

For Teachers 9th - 11th
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.
Lesson Plan
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Exploring the FTC using the TI

For Teachers 11th - 12th
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.
Lesson Plan
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Graphs and Data

For Teachers 7th - 10th
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.
Lesson Plan
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Unit Circle Lesson Plan

For Teachers 11th - 12th
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...