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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

Fundamental Theorem of Calculus

For Students 11th - 12th
In this calculus worksheet, students observe the graph the function and identify the interval as increasing or decreasing. They identify the critical points and perform integration. There are 4 questions.
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Lesson Plan
Curated OER

Integrals with Secant Powers of Secant Tangent

For Teachers 12th
Twelfth graders integrate trig functions with even powers. For this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
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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
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The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Learners define integrals and explore how they relate to the areas under a curve. In this calculus instructional activity, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for...
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Lesson Plan
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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
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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
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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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Worksheet
Curated OER

Functions Defined by Integrals

For Students 9th - 11th
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
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Worksheet
Curated OER

AP Calculus

For Students 12th - Higher Ed
In this calculus worksheet, students answer questions about integrals, trig functions and natural logs. There are 20 questions mixed with multiple choices and free responses.
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Lesson Plan
Curated OER

Evaluating Definite Integrals with Substitution

For Teachers 11th - 12th
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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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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Lesson Plan
Curated OER

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...
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Worksheet
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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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Worksheet
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AP Calculus Practice Exam

For Students 12th - Higher Ed
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Lesson Plan
Curated OER

Video on Integration and Quiz on Induction

For Teachers 11th - Higher Ed
Students investigate proofs through practice and example. In this calculus instructional activity, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
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Lesson Plan
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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
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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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Worksheet
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Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
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Lesson Plan
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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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