Calculus: Curve Sketching Task Cards with QR Codes

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This set of 20 task cards is divided into 5 different sets of 4 cards.

Cards 1-4: Students are given different information about the function, its derivative, and its second derivative. From the information the students should draw a sketch. The solutions show a possible sketch of the function and also a list of how the collected data was used to complete the sketch.

Cards 5-8: Students are given graphs of the derivative of a function. Students are asked to draw a sketch of the function. The solutions show sketches of the function and a list of statements used to complete the graph.

Cards 9-12: Students are given charts of information about the sign of the derivative, the graph of the derivative, the sign of the second derivative. They are asked to draw a sketch of the original function from the given information. The solutions show sketch of the original function and a list of statements that led to the sketch.

Cards 13-16: Students are given a algebraic expression for the derivative of a function. Students must describe where the graph of the original function is increasing, decreasing, has a slope of zero, where the original function is concave up and concave down, and any point of inflection. Then students are asked to draw a sketch of the original function.

Cards 17-20: Students are given an algebraic expression for the derivative of a function. Students are asked to locate the x values where the absolute minimum and maximum occur, draw a sketch of the original function, and show the absolute minimum and maximum on the sketch.
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15
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Calculus:  Curve Sketching Task Cards with QR Codes
Calculus:  Curve Sketching Task Cards with QR Codes
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