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Percent Increase and Decrease Quiz

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Preview of Calculus - How Can One Graph Help Describe Another Graph?

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 questi
Preview of Calculus-Making Observations about the Function and Its Derivatives from Graphs

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 II
Preview of Pre-Calculus - Maximizing the Volume of a Cone

Pre-Calculus - Maximizing the Volume of a Cone

This hands-on activity engages the students in constructing a cone from a circle,collecting data on the height and radius of the cone, creating a scatterplot, fitting a curve to the data and then estimating the maximum volume of the cone. Many students are surprised that the scatterplot indicates that the volume first slowly increases and then after a maximum volume occurs the volume quickly decreases. By working with a physical model helps students observe how the height, radius, and volume
Preview of Volumes of Solids with Known Cross Sections - An Exploration in Calculus

Volumes of Solids with Known Cross Sections - An Exploration in Calculus

One of the topics that is difficult for students to grasp is finding the volume of a solid with a known cross section. One reason is that students have difficulty with this topic is that they have difficulty drawing the solid. In this activity the students get to build eight different "solids.” This activity focuses on finding the volume of solids that are built on a two-dimensional surface when cross section cut perpendicular to a known shape. The activity uses the region bounded by the x-axis,
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