This site provides users with interactive applet for practicing the construction of the graph of a function f when given the derivative f'.
Type of Material:
Simulation
Recommended Uses:
The material is well suited to use for in-class demonstrations, inclusion in group activities, and individual homework assignments and Handouts for Calculus I.
Technical Requirements:
Any Browser.
Identify Major Learning Goals:
The main goal of this site is to allow users to make connections between the graph of a function and its derivative by practicing constructing the graph of a function f from the graph of f’.
Students can follow all instructions to construct their graphs.
Target Student Population:
High School, College Lower Division, Calculus I students
Prerequisite Knowledge or Skills:
College Algebra
Content Quality
Rating:
Strengths:
This site provides an interactive applet to construct the graph of function when giventhe graph of its derivative. Students can check the accuracy of their graphs and compare it with the result by just clicking on the available options: “check accuracy” and “show results”. This site offers a great help for students of Calculus I who want to practice graphing functions using their derivatives’ graphs. This site can be included as a part of lecture or as an extra online tutorial for students.
The applet is interactive and user friendly. It would be very nice to use in an in-class demonstration or group activity to help students think about how they would construct the graph of a function from the derivative. Exploratory questions are provided to aid students as they investigate.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This applet is a great tool for helping students to visualize the relationships between a function and its derivative. It allows users to check the accuracy of their constructed graphs and to reset the graph for continued practice. It could easily be incorporated into a homework assignment or group activity.
Both instructor and student can use this site in the Calculus I class in lectures or assignments related to graphing functions using the graphs of their derivatives .
Ease of Use for Both Students and Faculty
Rating:
Strengths:
Students and instructors can access this applet easily, and they can choose one of the available options in this applet. Clear instructions for using the applet are provided via a set of exploratory steps/questions.
Creative Commons:
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