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[quote=pettifogger][quote=Anonymous][quote=Anonymous][quote=Anonymous]Do you know who the instructor will be? I find that to be the single most important factor. My DD took geometry in 8th grade, and her teacher was excellent. The course work was difficult, much different than my high school geometry days! I can’t imagine squeezing it into a summer session. My DD’s friends are taking geometry now in 9th grade and it’s a breeze. Different teacher, not as in depth. It would be fine in the summer. [/quote] If both classes were honors level, FCPS has a standard curriculum. Maybe one was honors and one wasn’t? Maybe teachers allowed more retakes or granted partial credit?[/quote] I'm a HS math teacher. The standards are the same, but the implementation can be completely different. [b]"Find the area of a regular hexagon with side length 5" "Find an expression for the area of a regular hexagon with side length x+5" "Find the area of a regular hexagon with side length x+5 if it is equal to the area of a right triangle with side lengths 2x+3 and x-7"[/b] All meet the same standard. All are drastically different levels of difficulty.[/quote] I would argue they are not really different, at least not conceptually. #1 and #2 are both the same thing, just a different expression for the side length. #3 is just not a very good question because it tries to superficially complicate things without adding any extra geometric insight: Students should already know how to write an expression for the area of a right triangle if given both legs; it's just the triangle area formula. Then equate that to the area of the hexagon, which the problem statement makes obvious. As for the messy resulting algebraic equation, it's just a quadratic with radicals and certainly not worth solving by hand. Sure, maybe #3 is more tedious, but I would not call it any deeper conceptually than the others.[/quote]
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