Worksheet
Curated OER

Lab 4: Integration by Substitution

For Students Higher Ed
For this integration worksheet, students transform antiderivatives and integrals by using substitution functions. They sketch graphs of two antiderivatives and describe their relationship. Students use trigonometric identities to find...
Worksheet
Curated OER

F(x)g(x): A Tale of Two Functions

For Students 10th - 12th
In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.
Worksheet
Curated OER

Definite Integrals

For Students 11th - 12th
In this calculus learning exercise, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
Worksheet
Curated OER

Get Smart!: Addition Tricks with Integrals

For Students 11th - 12th
In this definite integrals worksheet, students find the definite integrals of 16 functions.  Students find definite integrals for a given interval in order to find the name of Maxwell Smart's partner.
Worksheet
Curated OER

Applying Linear Functions

For Students 9th - 11th
In this algebra worksheet, students rewrite word problems using algebra and relate linear functions to real life scenarios. There are 2 questions with an answer key.
Worksheet
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Exponential Functions

For Students 9th - 11th
In this algebra worksheet, students evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.
Worksheet
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Composition of Functions

For Students 10th
In this composition of functions worksheet, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
Lesson Plan
Curated OER

Operations with Functions Including Composition

For Teachers 9th - 12th
Students explain functions.  In this function lesson plan, students solve functions.  Groups of students develop strategies to perform operations with functions.  They write test questions using functions which include all...
Worksheet
Curated OER

Integrated Algebra Practice: Exponential Growth

For Students 9th - 12th
In this exponential growth worksheet, high schoolers solve 10 multiple choice and short answer problems. Students find the interest of an amount of money given the rate, time, and times compounded.
Worksheet
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Integrated Algebra Practice - A.A.8 #1: Quadratic Word Problems

For Students 9th - 12th
In this quadratic word problems worksheet, students solve 6 short answer and multiple choice quadratic problems. Students write and solve quadratic equations given a word problem.
Lesson Plan
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Lewis and Clark Review

For Teachers 4th - 6th
Students play games.  In this comprehension and recall activity, students play Give Me A Break, Bingo and Jeopardy to reinforce the knowledge they've learned about Lewis and Clark.
Worksheet
Curated OER

Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Worksheet
Curated OER

Applications of Definite Integrals

For Students Higher Ed
In this definite integral activity, students explore different types of integrals and determine the length of a curve. This one-page activity contains eight multi-step problems.
Lesson Plan
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Living Integrity

For Teachers 6th - 8th
Young scholars analyze scenarios regarding integrity. In this character education lesson, students participate in group discussions. Young scholars analyze various scenarios regarding integrity and construct a written response in their...
Lesson Plan
Curated OER

Worksheet 5 - Integration

For Teachers Higher Ed
For this integration worksheet, pupils evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.
Interactive
Curated OER

The Method of Integration by Parts

For Students 11th - 12th
For this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Interactive
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The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
Interactive
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Integration of Trigonometric Integrals

For Students 9th - 10th
In this trigonometry instructional activity, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
Lesson Plan
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My Senator and Me: A Dog's-Eye View of Washington, D.C.

For Teachers 4th - 6th Standards
Although this legislative process instructional activity is designed to accompany a specific text, it is valuable independently. Young learners participate in a picture walk (worksheet included) through My Senator and Me:...
Worksheet
Curated OER

Sentence Patterns I: Locating Subjects and Verbs

For Students 7th - 9th
Tighten up your class's grammar with this straightforward activity on sentence patterns. After a short review about sentence patterns, clauses, and subjects and verbs, ten questions prompt young writers to identify the parts of the...
Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....
AP Test Prep
College Board

2001 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
Worksheet
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Indefinite Integral

For Students Higher Ed
In this indefinite integral worksheet, students find the indefinite integral and differentiate functions. This one-page worksheet contains ten problems.
Worksheet
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Average Value of Functions

For Students 10th - Higher Ed
In this integrals and average value worksheet, learners problem solve thirty equations or word problems involving average value of functions, volume and integrals.