Perhaps we should ponder the whole concept of teaching a separate precalculus course.

It's possible that students would benefit more from the introduction of precalculus topics as the concepts of limits, derivatives and integrals are being taught.

However, my personal opinion is that trigonometry should remain a separate course as a prerequisite for calculus.

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Donald Ransford

Professor

Florida SouthWestern State College

Fort Myers FL

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Original Message:

Sent: 02-09-2024 14:18:43

From: Matthew Watts

Subject: Graphing polynomial functions in Pre-Calculus

It is true that a complete graph of polynomials (third degree and higher) cannot be drawn analytically at this point, but there is still a lot of valuable learning in creating a sketch with what we can find. My methodology for graphing polynomial functions allows them to connect the concepts of intercepts, multiplicities (of zeros), and end behavior into a coherent procedure that leads to a stronger overall understanding of this important class of function. I take the same stance with Rational Function as their graphs are not going to be 100% accurate but a great way to unify the various concepts.

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Matthew Watts

Assistant Professor

Red Rocks CC

Lakewood CO

Original Message:

Sent: 02-08-2024 00:53:49

From: Tuyetdong Phan-Yamada

Subject: Graphing polynomial functions in Pre-Calculus

Dear all,

Why do Pre-Calculus students need to learn graphing polynomial functions? They cannot find the local max/min yet. Should we postpone this topic in Calculus?

Thank you for your feedback!

Sincerely,

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Tuyetdong Phan-Yamada

Lecturer, Cal State LA

Board Member, CMC^3 - South

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