Curated OER
Average Value of Functions
In this integrals and average value worksheet, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
Curated OER
Challenge Sheet 3: Average Value of a Function
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...
Curated OER
Instantaneous Rate of Change of a Function
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...
Balanced Assessment
On Averages and Curves
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.
Curated OER
Average Value of a Function
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.
Curated OER
Find the Average Value of a Function
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.
Curated OER
Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, young scholars answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Curated OER
Average Value of a Function
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.
Curated OER
Exploration 1: Instantaneous Rate of Change Function
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.
West Contra Costa Unified School District
Average Rate of Change
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.
Mt. San Antonio Collage
Quiz 1: Functions, Domain and Range
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.
Curated OER
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
Lesson 25 - Applications of Logarithmic Functions
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.
Curated OER
Graphing of Functions Using First and Second Derivatives
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.
Curated OER
Weighted Averages
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.
Illustrative Mathematics
Average Cost
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...
Curated OER
Fitting Periodic Functions-Distant Planets
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...
EngageNY
Euler’s Number, e
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.
Curated OER
Worksheet 3 - Velocity, Movement
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.
Curated OER
Week in Review 3
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.
Curated OER
AP Calculus Practice Exam
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.
Curated OER
Converging Series
For this functions worksheet, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
EngageNY
Analyzing a Graph
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.
Virginia Department of Education
Linear Modeling
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...