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We are currently working through BA 3 with my 8 year old and loving it!!!

My older children don't love AOPS, but I'd like to have them experience some of the best chapters of BA even though they are in higher math. I think there would be value in learning some of the unique BA approach. So far I'm planning on having them complete the squares chapter in 3b.

For those who are farther along in BA, what pages/chapters do you think would benefit older students even if they don't do the whole program or are in a much higher level of math?

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The logic chapter was a hit here.

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Shapes in 3A!

And we're not there yet, but all of 4B looks to me like it would be a worthwhile supplement for older kids. And estimation. I think it's in 3D.

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Oooh and factors in 4C.

You're getting me excited!

(We're only in 3B, hehe.)

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The logic chapter was a hit here.

Here, too... I think it was in 4B?

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Here, too... I think it was in 4B?

Yes, 4B.  And agreeing with someone upthread, the chapter on Multiples and Factors was REALLY well done. When we started AoPS pre-algebra, we were totally prepared (and maybe over prepared if that's a thing). Book 5B

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My LEAST favorite chapter was measurement in 3D. There was nothing wrong with it, it just seemed so....normal. Like basic, here's a ruler, here's a clock, add it up. Usually in BA you only get a few pages of that before things go crazy, but that chapter never went crazy. It was a bit of a let down, especially since it finished the book and grade level.

My kid did do the calculations by running the numbers through base 12 or base 60, but that wasn't in the book.

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The logic chapter.