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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Sunday, February 26, 2006

Let It Grow Sunday!

This week's game is called Grow.



Draw each item to the center of the ball to Grow it. If you drag them in the right order you will reach the maximum growth level for each object -- that's the challenge and it's not easy. ;-) Lots of trial and error. The number of different ways to play this game is 479 001 600. Can you find the winning strategy?

The Applied Math class will learn how to figure this out this week. Pre-Cal will learn it in about two more months and the AP Calculus students should remember from the Pre-Cal class. Do you?

Have Fun!



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Tuesday, February 21, 2006

Tell Your Parents the Blog is Multilingual!

You'll notice that all posts on our blog now have a series of flags automatically added to the bottom. Click on a contry flag to have the blog translated into that country's language. You can choose from:

French, German, Italian, Portugese, Spanish, Japanese, Korean, Chinese and Filipino

If you speak any of these languages, let me know if they work well enough to be understood. And tell your parents all about it! ;-) Encourage them to leave comments on the blog as well.



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Sunday, February 19, 2006

Chinese? Checkers? Chess?



Chinese Checkers it is called in England. Kinasjakk (Chinese Chess) in Norway. The truth is that it has nothing to do with neither checkers, chess, nor China.

'The Chinese Checkers game board is in the shape of a six pointed star and is playable with two up to six people at the same time. Each player uses pegs or markers of a different color placed within one of the points of the star. The object is to move all your ten pegs across the board (move one step at the time or jump over adjacent pegs) to occupy the star point directly opposite. The player getting all pegs across first wins.' - More.

You can play it here.

(Thanks again to Think Again!)



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Sunday, February 12, 2006

A Prisoner's Sunday Dilemma

This week it's a logic puzzle ... we look in on a prisoner with a problem ....




For the last trial, the king used not two, nor three, but nine rooms! The prisoner was told that one room contained a Lady and the other eight were either empty or filled with a tiger. The sign on the Lady's door was true, the signs on room with tigers were false, and empty rooms had signs that were either true or false.

These were the signs:

  1. The lady is in an odd-numbered room.

  2. This room is empty.

  3. Either sign 5 is right or sign 7 is wrong.

  4. Sign 1 is wrong.

  5. Either sign 2 or sign 4 is right.

  6. Sign 3 is wrong.

  7. 7. The lady is not in room 1.

  8. This room contains a tiger and room 9 is empty.

  9. This room contains a tiger and 6 is wrong.


The prisoner studied the nine signs for a while and came to the conclusion that the problem was unsolvable. The king admitted his mistake and told the poor prisoner if room eight was empty or not.

The prisoner needed no more help. He deduced where the Lady was. What about you?

Problem source: The Lady or the Tiger and other Logic Puzzles by Raymond Smullyan. (With thanks to Think Again!)



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Friday, February 10, 2006

Antiderivatives Review

You can find a good review with a little practice on antiderivatives here. It covers substitution but not inegration by parts. You can also try your hand at a true or false quis over here and some review exercises there.

You can review and practice your Integration by Parts skills here. (The flash animations are really cool!)

You can review Numeric Integration here and there (More flash and animations!).

Lots of practice antidifferentiating using the arc trig functions can be found here. (You may find the solutions provided a little confusing as we used a slightly different technique to solve these problems. If you read it through carefully though you might learn something new!)

You can find LOTS of practice for using Substitution by taking this quiz. There are 50 questions but you can check your answer as you do each one.

There is a whole lot more you can review and learn with this COW (Calculus On the Web). The stuff you're looking for will be in the Calculus Book II link.

Study Hard! Remember, luck has nothing to do with it. It's all about how much effort you're willing to put in. ;-)

Cheers!



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