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Lesson Plan
Curated OER

Test on sections 6.2-6.3

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule, and...
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Lesson Plan
Curated OER

Proof by Induction

For Teachers 12th
Twelfth graders define and prove theorems using induction. In this calculus instructional activity, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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Lesson Plan
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Differential Equations

For Teachers 11th - 12th
Students solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
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Lesson Plan
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Video on Integration and Quiz on Induction

For Teachers 11th - Higher Ed
Learners investigate proofs through practice and example. In this calculus lesson, 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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Slope Fields

For Teachers 12th
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the right...
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Lesson Plan
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The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Students 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 under...
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Lesson Plan
Curated OER

Test on Section 6.1-6.6

For Teachers 12th - Higher Ed
Students apply their knowledge of integration on this test. In this calculus instructional activity, students answer question about, riemann sums, integrals and calculate area under a curve. This instructional activity review these...
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Lesson Plan
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Average Value of a Function

For Teachers 11th - 12th
Students investigate the average value of a function given different interval values. In this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge to...
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Lesson Plan
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Evaluating Definite Integrals with Substitution

For Teachers 11th - 12th
Students evaluate and define limits using substitution. For 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
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Volumes of Solids and Revolution

For Teachers 12th - Higher Ed
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around x and...
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Lesson Plan
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Length of an Arc

For Teachers 12th
Twelfth graders define an arc and find its length. In this calculus instructional activity, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem...
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Lesson Plan
Curated OER

Test on Chapter 7

For Teachers 11th - Higher Ed
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
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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, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Lesson Plan
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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
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Integration By Parts and Quiz on Basic Integration Formulas

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

Test on Sections 9.1-9.3

For Teachers 11th - 12th
Students assess their mastery of integration techniques. In this calculus lesson, students solve problems by integration by parts, long division, and inverse trig.  There are 2 versions of the same test.  
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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 activity, 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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Integrals by Partial Fractions

For Teachers 11th - 12th
Young scholars solve integrals using partial fractions. In this calculus instructional activity, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in...
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Lesson Plan
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Summary of Techniques of Integration

For Teachers 11th - 12th
Students define and review techniques for integration by parts. In this calculus lesson plan, students solve rational expression using integration and apply the partial fraction rule. They practice solving  problems online. 
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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

Review of Techniques of Integration

For Teachers 12th
Twelfth graders review techniques of integration. In this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle puzzle...
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Lesson Plan
Curated OER

Test on Chapter 8

For Teachers 12th
Twelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....

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