Curated OER
Numerical Integration
In this math instructional activity, learners practice using the concept of numerical integration. They also practice the approximation for the unit circle.
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Lab 3: Length as an Application of Integration
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
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Math 224 Multivariable Calculus Quiz
In this math worksheet, students practice the concept of multiple integration. They take a quiz based on applying the concept and show all their work for the two problems.
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Introduction to Integration by Substitution
In this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
College Board
2009 AP® Calculus AB Free-Response Questions
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
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We Are a Fact Family! Integration Is the Key!
Students practice addition and subtraction. In this fact families unit, students practice finding sums and differences for fact families. This unit includes ten lessons with science and social studies integration.
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The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students 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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Integration by Parts
Students explore integration by parts and use it to solve equations. In this calculus instructional activity, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals...
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Integration By Parts and Quiz on Basic Integration Formulas
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...
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Integrals with Secant Powers of Secant Tangent
Twelfth graders integrate trig functions with even powers. In 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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Integration
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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The Definite integral and Area Under a Curve
Students 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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Integrals with even Powers of Sine and Cosine
Twelfth graders define integrals and solve equations with trig functions. In this calculus instructional activity, 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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Integrals involving Trig Substitution
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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Integration Involving Inverse Trig Functions
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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Evaluating Definite Integrals with Substitution
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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Integration By Parts
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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Integrals with odd powers of secant and tangent
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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Integration: Geometry - The Pythagorean Theorem
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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Regents High School Examination: Integrated Algebra
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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Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. In this trigonometry instructional activity, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving...
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Integrate Algebra Regents Exam Bimodal Questions Worksheet #1
In this Integrated Algebra worksheet, learners solve problems that reflect the topics covered during the course of work. The answer key identifies each question by standard and topic. The twenty-four page worksheet...
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Shortest Path
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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Regents High School Examination Integrated Algebra
For 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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