We studied a lot of different topics in Chapter 12, our final “book chapter” of the year. From dividing polynomial expressions, to graphing rational equations, to solving rational equations, there was a lot of diversity in this chapter. It served as a great capstone to everything you have learned in Algebra I this year at Marie Murphy.
Please review those topics tonight in the Chapter 12 Summary and Review. It would be in your best interest to come to class tomorrow with questions about what you would like to know more about before the assessment.
Our assessment will be Friday if the Olympics are postponed (I can imagine that the fields are going to still be pretty wet.) Otherwise, it will be on Tuesday after Memorial Day.
Today in class we wrapped up our introduction to conic sections and circles.
At this point, you should be able to create an equation for a circle in all 3 forms: Standard Form of a Circle, Function Form, and Standard Form of a Conic Section.
This worksheet will need to be completed for the start of class on WEDNESDAY. If the bike trip is cancelled, we will work on this in class tomorrow.
Conic Section Circles
Here are a few tips for solving rational equations:
- The goal of solving a rational equation is to get to the point where you have a single fraction on each side of the equal sign. At that point, you are able to cross multiply and eliminate both fractions.
- Never expand the denominator of your fractions. It just makes the problem longer.
- Always try to factor the denominators. It makes the problem shorter.
- If you have the same binomial on both sides of the fraction, after cross multiplying, then they cancel each other out.
- Don’t forget to always check for extraneous solutions!
12.7) 3, 6, 9, 12, 15, 16, 18, 21, 31, 32, 34*
Tonight we will begin adding and subtracting rational expressions.
12.6) 12 – 19 all, 21, 23, 27, 28.
If you are curious, peek ahead and look at problems 34 – 40. That is the cool stuff that we are working towards.
Today in class we learned how to simplify rational expressions using factoring. Of course, when factoring doesn’t work, we can also try using long division!
Your homework for the weekend is: 12.4) 11 – 32 all, 38, 41, 43.
Please graph the following rational equations tonight for homework. Please make sure to label all of your asymptotes.
12.3) 25 – 30 AND y = (-3x^2+2)/(x-1)
I tried to make it look pretty and paste the equation in fraction form, but it wasn’t working properly…
Tonight we will focus on the first part of 12.3, dividing polynomials.
If anyone can figure out a good method for checking your solutions, please share it on the blog or in class tomorrow.
12.3) 3, 5, 7, 8, 11, 12, 18, 20.
Please complete practice problems 1 – 8 on the trig packet which cover Inverse Trig Functions. They begin on page 26.
Today we began our study of Right Triangle Trigonometry.
Everything we did in class today can be found in this packet:
TrigPacket modified 08-09-1
Please complete the first four “Practice Problems Using Trigonometry” tonight for homework.