It’s another super cold day here in Chicago!

My regular Advanced Algebra Trig students have been graphing polynomial functions of higher degrees using zeros and end behavior. The graphs have also had “bounces” and “flattening”. Here’s a video demonstrating those types of problems…

My honors Advanced Algebra Trig students are wrapping up the semester by solving radical equations. Here is one of the hardest problems I could find to show you for those!

# one more night

I only have one more night of tutoring before I’m on Winter Break, yay! I’m going to do my best to stay focused though and help my students make it through this Thursday and Friday of tests!!

My Advanced Algebra Trig students, both honors and regular, are doing synthetic division to find the factors and zeros of polynomials. Teachers definitely vary when they teach this topic to students. Most of my students however are asked to make a list of p/q’s which tells them the possible rational zeros, and then they are allowed to look at the graph on a calculator to find a few zeros that they then use in synthetic division. At least that way they don’t have to sit there and guess and check every p/q until they find one that gives them a zero remainder, but they are still showing the work and not just writing down all of the answers straight from the graph on the calculator! Whew…it’s still a lot to understand and can for sure be confusing. Here are two examples (one of them even has imaginary zeros):

Stay tuned for Geometry tomorrow! Even though it’s my Winter Break, I’m still planning to post to my blog!!

# 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 challengingÂ factoring problems…ones that my honors students will be faced with.

Hang in there…you can do it!!

# snow!

Haha…yesterday sunshine, today snow! That’s Chicago for ya đÂ I’m writing a quick post today because I’m about to go over to my daughter’s school to run their School Store during the lunch hour!

My regular Advanced Algebra Trig students are just starting the chapter on polynomials which means the first section they did was on simplifying exponents. Everyone always has a difficult time with exponents so this video has 5 common types of problems that you’ll come across.

My honors Advanced Algebra Trig students are wrapping up their chapter on logarithm so I’ve shown how to solve the two main types of logarithm equations. You will find that they always either have a log on both sides or a log on only one side. I’ve shown both!

Have a great day, and I’ll see you tomorrow for some Geometry!

# splitting the middle term : how kids can see a connection in precalc and calculus

If students will hear me out, I usually show them how to factor quadratics that have a leading coefficient by splitting the middle term (instead of using other tricks). I’ve noticed that it introduces them to the idea that a GCF doesn’t only have to be a monomial but that it can be a binomial quantity, which in turn helps them with more difficult factoring in Precalculus and also with simplifying derivatives in Calculus!

This was just an extra post today in addition to my daily posts for you students! See you tomorrow!