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Preview of AP Calculus Volumes with Cross Sections: 3D Print Models Bundle

AP Calculus Volumes with Cross Sections: 3D Print Models Bundle

Created by
Mr Buck
Students often find it challenging ot visualize volumes in calculus classes. This is a file to 3D print 5 models of volumes whose cross sections are perpendicular to the x-axis, between the curves y=x^2 and y=sqrt(x). These reflect examples found in online free flipped classroom resources and YouTube videos. The 6th volume graph models an example from AP Calculus unit 8.7 examples and is of a volume whose cross sections are squares, within a circle with radius 4. The download is for a ZIP file
Preview of Curve Your Thinking

Curve Your Thinking

In this Generations Skeptics bellringer, students cut out and compare a single curve, confidently judging whether it is longer or shorter than others as they move around the room. When they discover all curves are the same length, they confront how context distorts perception. The lesson uses this shared error to spark reflection on flawed thinking, misinformation, and the importance of intellectual humility across disciplines. For all free materials related to this lesson, click here: Curve Yo
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