Probability Practice Produces Perfection ... Probably

As promised here is a little extra probability practice for you ...



And some links for learning ...
Take this quiz on Probabilities of Compound Events.

Take this quiz on Conditional Probability.

Take this quiz on The Binomial Theorem and Probability.

Take this test on Combinatorics and Probability.

Take Harry Potter's quiz on Combinatorics. Try not to run into any walls. ;-)

Try this Probability quiz.

Photo source: Harry Potter's Platform 9 3/4!!!

A Transformations Video Lesson

Craig emailed me. I recorded this video minutes afterwards. It's taken me a while to compress it and get it published online. This is the first time I've ever done this. I learned a few things I would do differently to improve it next time. Your feedback is welcome and encouraged. ;-)

I tried to collapse the better part of two classes into this 16 minute, 20 second video. After watching this you should be able to do almost all the questions in exercises #8 and #9.

Two things: For some reason the video is about 12 seconds ahead of the audio. Also, at one point I misspoke and described y=f(-x) as a reflection over the x-axis. That's not right, it's a reflection over the y-axis. Everything else I said about that transformation is correct.

Here's the Google video ...



A lot of the video quality was lost. There's a better (not best) version here. Click that link to see a much better quality video.

A nice thing about video ... you can [pause] [rewind] [repeat] as often as you like until you "get it." Nonetheless, feel free to ask questions ... in the comments to this post or when I see you on Monday.

You may also find these links helpful ...








All about vertical reflections

and horizontal reflections.

And you can find a tutorial and interactive java applet here to review and learn all about vertical and horizontal stretches, compressions and reflections.

Let me know which link you liked the best. ;-)

Getting Ready For The Test ...

Assume this clock is mathematically correct, i.e. 0 is at the right and the hands move around counterclockwise ... What time is it in radian hours and minutes? ;-)

Some Reviews
What's the connection between circles and triangles? That's what we've been talking about in class.

Trigonometry has something to do with it. I found an excellent site that allows you to play and learn all about it.

I found a really neat site that illustrates the geometric interpretation of sine, cosine, tangent and cotangent that we've talked about in class. Check it out! You can change the lengths of the lines in the figure by clicking on the point on the circle where the "sin x" and "cos x" lengths intersect.

You can do a little review here about how to graph the sine, cosine and tangent functions.

Here is where you can find some excellent interactive review exercises. Try Topics #30, 31, 32 and 34. Omit Topic #33; we'll be covering that material in our next unit.

And finally here are some review questions (and their answers) to help you prepare for the test.





Learn Hard!! ;-)