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1,215 reviewed resources for integration of functions

4:26
Lesson Planet

Average Value of a Function

For Students 11th - Higher Ed
Viewers learn how to find the average of a variable density with a video made for AP Calculus. The presenter applies the formula to find the average value of a function with an example that provides a density function for a rod. The...
10:02
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Probability Density Functions

For Students 7th - 11th
Beat the weatherman at his own game with this probability video! Sal shows students how to use probability density functions to predict random occurrences (such as rain). Probability problems - and inclement weather - are no match for...
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Integrating Special Functions

For Students 11th - Higher Ed
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Exploring Function Graphs

For Teachers 9th - 11th
This is comprehensive lesson that explores different types of function graphs. Young mathematicians graph each data set, describe the characteristics of the graph, and identify the type of function represented, Students also identify the...
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More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
20:45
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Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

For Students 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
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Sets, Relations, and Functions

For Students 9th - 11th
Sets, relations, functions, and graphing linear equations are practiced in this challenging learning exercise. The class determines if a relation is a function or not and find the functional value of a domain element. The one page...
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Polar Functions

For Teachers 9th - 12th
Explore the concept of polar functions and learn how to determine the length around a function using polar coordinates. High schoolers use their Ti-calculators to determine the length of a function that looks like a five-leaved rose....
1 In 1 Collection
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Derivative and Integral Rules

For Teachers 10th - Higher Ed
Your calculus learners will enjoy this handy reference sheet containing the most used derivative and integral formulas.
2:54
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Solving Integrals Using Substitution

For Students 11th - Higher Ed
The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...
7:54
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Properties of the Definite Integral

For Students 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
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Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Module 5: Features of Functions

For Teachers 8th - 10th Standards
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
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Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
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Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
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Linear Function Machine

For Students 6th - 10th Standards
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
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Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations, then apply these...
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Worksheet 7 - Integral Test

For Teachers Higher Ed
In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
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Worksheet One - Definite Integral

For Teachers Higher Ed
For this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
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Worksheet 4 - function

For Teachers Higher Ed
In this function worksheet, pupils identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
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Properties of Definite Integrals

For Students 11th - Higher Ed
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
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Integration

For Students 11th - Higher Ed
In this integration worksheet, learners solve and complete 30 various types of problems. First, they evaluate the indefinite and definite integrals in each equation. Then, students evaluate the integrals by u-substitution. They also...