Calculus: Graphs of the Derivatives Task Cards , PowerPoint, and Graphic Organizer.
Students practice discerning Between the Graphs of f, f ', and f ''.
This innovative resource is designed for Calculus 1 or AP Calculus AB. This topic is found in Unit 3, Applications of the Derivative. Students examine three graphs, one blue, one black, and one red, superimposed on the same coordinate grid to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative, using their knowledge about derivatives, increasing and decreasing functions, max's and min's, points of inflection, etc.
The activity can be done in a number of ways. The sixteen problems come on task cards and students can work in groups or you can use as stations. I have also included a PowerPoint of the same problems which you can use instead of the task cards or in conjunction with them. You could possibly use slides 1 - 4 with the entire class, then split into groups for the rest. The PowerPoint can, of course, be used with a Smart Board.
Many of the examples will lead to great discussions.
*16 Task Cards
, each print on a half sheet of paper so students can see the graphs clearly.
with 32 slides
*Student Recording Sheets
for students' notebooks, to help with this activity. These are great printed on neon paper and pasted into the notebooks. They are approx 3.5'' x 3".
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Please look at my very popular •Ultimate Calculus Survival Kit,
an incredible 75 page resource for PreCalculus and Calculus teachers bundled together at a great discount.
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