Mine:

late in the first half of the year: factoring quadratic expressions, followed by solving quadratics by factoring

middle of the year, at the end of a graphing lines unit: a couple of days on “functions” including notation, and parabolas as an application. That’s it.

some time in May: working with radicals, working with square roots. Discussion limited to real numbers (including the phrase “no real…” an awful lot)

later in May:

Solving quadratics by taking square roots

Solving quadratics by completing the square

Deriving and using the quadratic formula

Discussing the discriminant (Case 3, negative, 0 real roots), discussion of relation to graph of parabola

Some applications

My book treats quadratics as the culmination of the course, everything leads there. Important pieces are put in place months in advance. The sort of tangent you describe running into, we would agree is unacceptable. The topic (complex numbers) does not belong here.

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