Worksheet
Curated OER

Week in Review 3

For Students 11th - Higher Ed
In this advanced math worksheet, students calculate work, average value of a function, and integrate various functions with respect to x. There are 16 questions.
Worksheet
Curated OER

Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
Worksheet
Curated OER

Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value worksheet, learners determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
Worksheet
Curated OER

Average Value of a Function

For Students 12th - Higher Ed
For this value worksheet, students determine the average amount of money in an account at various period of time. This one-page worksheet contains one multi-step problem. An example and explanation is provided.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals

For Students 9th - 10th
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Activity
Texas Instruments

Texas Instruments: Average Value

For Teachers 9th - 10th
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
Whiteboard
ClassFlow

Class Flow: The Fundamental Theorem of Calculus

For Teachers 9th - 10th
[Free Registration/Login Required] Although inverse operations, the two major branches of calculus- differentiated calculus and integrated calculus- are closely related. This connection was discovered by Isaac Newton and Gottfried...
Activity
Interactive Mathematics

Interactive Mathematics: Even Crash Test Dummies Use Calculus

For Students 9th - 10th
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Activity
Interactive Mathematics

Interactive Mathematics: The Definite Integral

For Students 9th - 10th
This demonstration allows you to see the process of finding the definite integral of a function, then put that process to practice in several examples. The definite integral is applied to real world situations such as work and average...
Activity
Interactive Mathematics

Interactive Mathematics: Average Value of a Function

For Students 9th - 10th
Examples demonstrate how integrals are used to find the average value of a function. Check out the Head Injury Criterion link for an interesting application of average value.