# is it xmas yet?

One more week and then Winter Break! All of my students have their finals in January so this week is filled with lots of chapter tests and quizzes. I know it’s a busy time for all of you…and not just in math!

My AB Calculus students have been studying the relationship between position, velocity and acceleration. They have been working on word problems involving all three which can definitely be confusing. Hopefully this example will help you sort through similar problems. I’m planning on doing another video on this same subject next time too. It’s just too much to cover in only one video!

My BC Calculus students recently learned integration by parts. This is a method that helps you take a very difficult integral and rewrite it as a much easier one instead. I’ve shown two very frequent types of integration by parts…the tabular method where you keep taking the derivative of “u” until you get 0 and a wrap-around problem where you eventually get the same integral that you started with (which doesn’t seem like something that would be very helpful, but it is!)

Have a great week! Just keep looking forward to winter break, and I know you can make it!!

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# linear programming

TGIF! To finish off the week I’ve worked through a dreaded linear programming word problem. Depending on your Algebra class, you might not have to write the inequalities yourself…which would make it MUCH easier! Just in case some of you have to do this type of problem from scratch however, I’ve shown you how I typically organize the numbers in a chart. I’ve found this makes the whole process a lot easier

I also gave out my very first #mathsaverfavor this week! It was a Statistics question from a college Statistics student which involved comparing the difference between two means by running a hypothesis test and creating a confidence interval. I didn’t make a video for it, but I’ve included the notes that I wrote out and sent to that student earlier this week! I don’t regularly post on my blog regarding Statistics questions, but I do tutor several AP Statistics students each week so those types of questions are always welcome here!!

Here’s the original question:

And here is my worked out solution:

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# tired of factoring yet?

I think my Advanced Algebra Trig students are going to cry if they see anymore factoring, but here it is again! They just finished the whole chapter on quadratics and thought factoring was in the past, but now it’s everywhere…with polynomials of even higher degrees!! Yikes!

Well that’s why I’m here. My regular AND honors students are synced up in the same chapter right now so these videos are only about factoring. This first video would be useful for both levels of Advanced Algebra Trig. It is a little lengthier than normal, but I wanted to explain everything thoroughly because factoring is SO important.

And this second video is geared for honors Advanced Algebra Trig. It contains many special cases and very challenging factoring problems…ones that my honors students will be faced with.

Hang in there…you can do it!!

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# law of cosines…caution

Hello everyone! I missed posting yesterday, but it was for a good reason. I was giving out my first #mathsaverfavor! It was for a college stats student, and I will post the problem and explanation this Friday.

For today I decided to show why you should use caution when starting a law of cosines problem. I always tell my students to solve for the largest angle FIRST (using the law of cosines) when it’s an SSS triangle. That is because they ALWAYS like to switch over to the law of sines to find the second angle…which is fine! But if they haven’t planned ahead by finding the largest angle first, then the law of sines is not going to give them the correct answer if the second angle happens to be obtuse!!

So avoid all potential problems in SSS triangles by finding the largest angle first. I think that’s pretty easy to remember, and it will save you a lot of headaches down the road

My regular Precalc students are moving right along with double and half-angle trig identities. I’ve worked through two common problems using those identities in this video…

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# happy friday

I don’t know why, but this has felt like the LONGEST week! Whew…at least it’s Friday!

My Algebra students are working on solving systems of equations so I thought it would be helpful to pick one problem and show how solving it by graphing, by substitution and by elimination will get you to the same exact answer!

I hope you have a great weekend! See you next week

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