5 results
High school calculus laboratories for Easel Activities
Calculus - Average Value of a Function - An Exploration
As part of the AP Calculus course description students need to understand what it means to find the average value of a function. This activity incorporates the graphing calculator to develop an understanding for the average value of a function. Students draw graph for four functions to view all the function values between two x values. Since students understand that they find an average for a set of numbers by dividing the sum of the numbers by the total number of numbers, this lesson begins by
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Bundled Lessons on The Average Value of a Function
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question.Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part III:
Grades:
10th - 12th, Higher Education
Types:
Calculus - Continuity
This activity engages the students in understanding the three parts of the definition for a continuous function at a point by asking a series of questions about several functions.You also might be interested in the Activity Sheet on Continuity and the Intermediate Value Theorem that is available in my store. A recent buyer said "Thank you for providing this resource. I appreciate your time and investment in creating a helpful resource."
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Also included in: Calculus - Continuity Bundle
Calculus - How Can One Graph Help Describe Another Graph?
This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questions a
Grades:
10th - 12th, Higher Education
Types:
Calculus - Slope or Derivative of Inverse Functions
This activity will engage students in discovering the relationship between the slope of two inverse functions. It is designed to be used with the TI84 graphing calculator.There are answers to the investigation and to the 5 problems included in the activity.You might be interested in the Activity Sheet with Derivatives of Inverse Functions that is available in my store.
Grades:
11th - 12th, Higher Education
Types:
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