Curated OER
Review Integration
In this integration instructional activity, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Shodor Education Foundation
Vertical Line Test
Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
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Functions
In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Curated OER
Sudoku Puzzle: Definite Integrals
In this Sudoku worksheet, students first solve 36 definite integral problems and then place them into the puzzle. The remainder of the Sudoku is left to solve.
Curated OER
Relations and Functions
In this Algebra I/Algebra II worksheet, students determine if a relation is a function or not and find the functional value of a domain element. The two page worksheet contains a combination of nine multiple choice and free response...
Curated OER
F(x)g(x): A Tale of Two Functions
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.
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
Exponential Functions
In this algebra learning exercise, students evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.
Curated OER
Lab 4: Integration by Substitution
In 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 the...
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Definite Integrals
In this calculus activity, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
Curated OER
Applying Linear Functions
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.
Curated OER
Get Smart!: Addition Tricks with Integrals
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.
Curated OER
Operations with Functions Including Composition
Students explain functions. In this function lesson, students solve functions. Groups of students develop strategies to perform operations with functions. They write test questions using functions which include all operations...
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Worksheet 5 - Integration
In this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.
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The Method of Integration by Parts
In 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.
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The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
The Method of Integration by Partial Fractions
For 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.
Curated OER
The Limit Definition of a Definite Integral
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
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Integration of Trigonometric Integrals
In this trigonometry worksheet, 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.
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
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Section 7.4 Practice: The Exponential Function
For this exponential functions worksheet, students solve 7 exponential function problems. Students find the integral and derivatives of various exponential expressions.
Curated OER
Evaluate Integrals
For this evaluate integrals worksheet, learners 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....
Curated OER
Composition of Functions
In this composition of functions instructional activity, 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...