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Worksheet
Curated OER

Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value activity, students 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...
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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.
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Worksheet
Curated OER

Average Value of a Function

For Students 12th
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
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Lesson Plan
Curated OER

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
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Worksheet
Curated OER

Average Value of a Function

For Students 12th - Higher Ed
In this value worksheet, learners 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.
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Assessment
1
1
Balanced Assessment

On Averages and Curves

For Students 11th - 12th
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
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Lesson Plan
Curated OER

Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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Worksheet
Curated OER

Average Value of Functions

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

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
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Assessment
Mt. San Antonio Collage

Quiz 1: Functions, Domain and Range

For Students 9th - 12th Standards
Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.
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Lesson Plan
West Contra Costa Unified School District

Average Rate of Change

For Teachers 8th - 10th Standards
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
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Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
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...
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Worksheet
Curated OER

Lesson 25 - Applications of Logarithmic Functions

For Students 9th - 12th
in this applications of logarithmic functions learning exercise, students solve 11 short answer problems. Students use logarithms to find half lives, compound interest, and population growth given a word problem.
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Interactive
Curated OER

Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
In this calculus worksheet, learners solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
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Worksheet
Curated OER

Weighted Averages

For Students 8th - 11th Standards
Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.
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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.
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Activity
Illustrative Mathematics

Average Cost

For Teachers 8th - 11th Standards
Here is an activity that presents a good example of a function modeling a relationship between two quantities. John is making DVDs of his friend's favorite shows and needs to know how much to charge his friend to cover the cost of making...
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Worksheet
Curated OER

Fitting Periodic Functions-Distant Planets

For Students 7th - 9th
In this periodic functions worksheet, students use given data of the speed of a star and find the best fit periodic function that follows the trend in data. They determine the amplitude, offset phase and the formula for the angle. They...
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Lesson Plan
EngageNY

Euler’s Number, e

For Teachers 9th - 12th Standards
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. 
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Lesson Plan
Curated OER

Worksheet 3 - Velocity, Movement

For Teachers Higher Ed
In this velocity worksheet, students determine the distance traveled when an object is moving in a straight line. Students graph functions and determine the slope of the line. This two-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 
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Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
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Worksheet
MCAS Mentor

Number Sense and Operations

For Students 8th - 10th Standards
In this number sense and operations worksheet, learners solve 15 different types of problems that include reading number lines and solving inequalities. First, they write the scientific notation of various numbers given. Then, pupils...

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