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Lesson Plan
Alabama Learning Exchange

I'm Lovin' It: Finding Area Between Curves

For Teachers 11th - Higher Ed Standards
Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...
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Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Learners 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...
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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

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
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 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
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

Integrals with Secant Powers of Secant Tangent

For Teachers 12th
Twelfth graders integrate trig functions with even powers. In this calculus lesson plan, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the...
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Lesson Plan
Curated OER

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.
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Lesson Plan
Curated OER

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

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 instructional activity, students apply their knowledge of integration to inverse trig function. Students review their trig and...
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Lesson Plan
Curated OER

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
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

Integrals with odd powers of secant and tangent

For Teachers 12th
Twelfth graders solve equations containing powers of sec and tan. In 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

Integration: Geometry - The Pythagorean Theorem

For Teachers 8th - 9th
In this math worksheet, students are given that c is the hypotenuse of a right triangle. Students must find 12 sets of missing measures. Students also use the Pythagorean Theorem to determine whether a given set of measures would form a...
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Lesson Plan
Curated OER

Regents High School Examination: Integrated Algebra

For Teachers 9th - 12th
In this integrated algebra worksheet, students answer 39 questions in preparation for the Regents High School Examination.  Students solve problems about various topics in algebra and algebra II including quadratics, systems of...
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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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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 instructional activity. 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

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...
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Lesson Plan
Curated OER

Regents High School Examination Integrated Algebra

For Teachers 9th - 12th
In this integrated algebra worksheet, high schoolers complete 39 multiple choice problems. This is a copy of the 2009 State of New York exam.
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Lesson Plan
Curated OER

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
Curated OER

Integrals by Partial Fractions

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

Integration: Statistics

For Teachers 9th - 10th
For this math worksheet, students find the mean, median and mode for 6 number sets. Students then find the median and mode for data found in 2 stem-and-leaf plots.

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