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Lesson Plan
Curated OER

Integration By Substitution

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

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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Lesson Plan
Curated OER

Integration by Parts

For Teachers 11th - 12th
Students explore integration by parts and use it to solve equations. In this calculus lesson, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals and discuss when...
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Lesson Plan
Curated OER

AP Calculus Exam Prep

For Teachers 11th - 12th Standards
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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Lesson Plan
Curated OER

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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Lesson Plan
Curated OER

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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Lesson Plan
Curated OER

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.
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Lesson Plan
Curated OER

Integration By Parts and Quiz on Basic Integration Formulas

For Teachers 12th - Higher Ed
Students solve integrals using integration by parts. In this calculus instructional activity, students review problems using integration by parts, repeated integration by parts and constant integration. They take a Quiz after they solve...
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Worksheet
Curated OER

Integration

For Students 12th
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
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Lesson Plan
Curated OER

Integrals with even Powers of Sine and Cosine

For Teachers 12th
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 11th - 12th
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Lesson Plan
Curated OER

Integration Involving Inverse Trig Functions

For Teachers 12th - Higher Ed
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson plan, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Lesson Plan
Curated OER

Integration By Parts

For Teachers 12th
Twelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
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Worksheet
Curated OER

Calculus Exam

For Students 11th
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
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Lesson Plan
Curated OER

Integrals by Partial Fractions

For Teachers 11th - 12th
Students solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
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Worksheet
Curated OER

I Have Who Has Cards - Integration Formulas

For Students 11th - 12th
In this calculus instructional activity, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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Lesson Plan
Curated OER

Numerical Methods of Integration

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
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Lesson Plan
Curated OER

Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. For this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. In this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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Worksheet
Curated OER

Integrals

For Students 11th - 12th
In this Calculus activity, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations.  The two page activity contains sixteen problems.  Answers are not...
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Worksheet
Curated OER

Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
For this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Lesson Plan
Curated OER

Fun Times with Integrals

For Teachers 11th - 12th
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Worksheet
Curated OER

Eight Integrals Using Partial Fractions

For Students 12th - Higher Ed
In this integral activity, students integrate eight problems using partial fraction decomposition.  A review on partial fractions is included at the top of the activity.
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Worksheet
Curated OER

Multivariable Calculus Quiz 9

For Students 11th - Higher Ed
In this math worksheet, students practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.