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Advanced Academic Programs (AAP)
Reply to "Algebra I, geometry, algebra 2"
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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]Yes, you should complement. Have your child enroll in RSM or AoPS either concurrently or shortly before. That's what we did. School instruction is insufficient in multiple ways. First, students aren't doing any problem solving in school (all they do is textbook worksheets and SOL prep); second, they don't do any mathematical writing in school; third, the school curriculum is abridged for an advanced student [b](e.g., no complex numbers in Algebra 1, no linear programming[/b]). Fourth, school math is much less fun. In short, if your child is gifted and interested in math then you cannot rely on the school curriculum.[/quote] Is this a joke? Why would there be complex numbers in Algebra I? You sound nutty.[/quote] When covering math at a level appropriate for mathematically gifted students you introduce complex numbers before the quadratic formula. For instance, AoPS's [url=https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/intro-algebra/toc.pdf]textbook does so in Chapter 12[/url]. [/quote] That's not The Correct Way handed down from God. Chapter 10 is factoring, which has the same problem (some problems don't have solutions) that the quadratic formula has (chapter 13), until i is introduced. i is very much a teaser in AoPS Algebra 1. Algebra 2 reintroduces i and covers it in a lot more detail. [/quote] I know :-) Still, one of the last writing problems in Algebra 1 was factoring z^4+1=0 using elementary means. Which I thought was really cool. [/quote] do you mean z^4 - 1 = 0? That can be factored using alg1 and introduces imaginary numbers. z^4 + 1 is much harder to factor.[/quote]
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