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Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
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Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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Lesson Plan
Curated OER

Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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Lesson Plan
Curated OER

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Lesson Plan
Curated OER

Definite Integral

For Teachers 9th - 12th Standards
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Young scholars 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...
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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

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

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

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

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

Elevator Height as Integral of Velocity

For Teachers 9th - 12th Standards
Pupils investigate integrals and their relationship to velocity in this calculus 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

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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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

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

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

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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