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Applied Maxim Mininmum Problems

For Teachers 12th - Higher Ed
Students define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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Lesson Plan
Curated OER

Rectilinear Motion

For Teachers 12th
Twelfth graders rewrite word problems using algebraic expressions. In this calculus lesson plan, 12th graders calculate the velocity, time and acceleration while analyzing real life scenarios. They solve problems related to when the...
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Lesson Plan
Curated OER

Rolle's Theorem and the Mean Value Theorem

For Teachers 12th
Twelfth graders investigate the applications of the mean value theorem. In this calculus activity, 12th graders apply the concepts of the mean value theorem to real life scenarios problems and relate it to Rolle's theorem. They continue...
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Lesson Plan
Curated OER

The Spider and the Fly

For Teachers 11th - 12th
Students investigate maxima and minima by finding the shortest distance. For this calculus lesson, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing minimum...
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Lesson Plan
Curated OER

Displacement, Velocity, Acceleration

For Teachers 12th
Twelfth graders solve problems of displacement, velocity and acceleration. In this calculus lesson, 12th graders are given the acceleration and asked to derive the formula for velocity. They work problems involving real life scenarios.
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Lesson Plan
Curated OER

Review for Test on sections 6.2-6.3

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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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 instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a curve,...
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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 lesson plan, 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
Learners 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
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
Curated OER

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
Curated OER

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
Curated OER

Test on Section 6.1-6.6

For Teachers 12th - Higher Ed
Learners 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
Curated OER

Average Value of a Function

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

Volumes of Solids and Revolution

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

Length of an Arc

For Teachers 12th
Twelfth graders define an arc and find its length. In this calculus lesson, 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 to some extent.  
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Lesson Plan
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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 plan, 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 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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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 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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