8. Weeks.

That’s it. You have 8 weeks to make sure that all of your ducks are in a row in order to get credit for your Math course? How are your rows looking? Are they even rows? If not, let’s get to work!

In Geometry, we looked at the last day of material for Unit 5. This really was more of a review of the trig ratios, but we did have two new concepts: angles of elevation and angles of depression. These are pretty straight-forward: Basically, if you are looking up, it’s an angle of elevation and if you are looking down, it’s an angle of depression. Now, you may be saying: “But we are looking at a paper, we aren’t looking up or down.” To that I say, “Go from the dotted line to the solid line. How do you move?”

In Algebra II, we looked at solving quadratic equations and inequalities by graphing. This was like what we did Friday, but we took it a step further with an inequality sign or equal sign. It’s better if you just look at the notes that me trying to explain it here.

Back in the Saddle Again!

It feels great to be back in the saddle classroom again! After being sick for two days this week, I’m glad to be back, almost to the point that I’m sad it’s Friday already.

In Geometry, we looked at Special Right Triangles for the second time in this unit. So, if you didn’t get to hear me talk about them last Friday, then you should have heard me loud and clear today. On another note, yesterday we looked at Inverse Trig Ratios. Those notes are also posted below.

In Algebra II, we had our test over Radicals yesterday, which meant that today we started a new unit. In particular, we started our unit over Quadratics. In traditional Algebra II fashion, we did this by graphing quadratics using our a, h, and k transformations. See the notes.

A New Beginning

Whether the last Nine Weeks was good or bad, today marks a new beginning. We are starting the second half of the course and will keep going full steam ahead. You can do it!

In Geometry, we looked at trigonometric ratios. These are sine, cosine, and tangent. For sine, we have the opposite leg divided by the hypotenuse. For cosine, we want the adjacent leg divided by the hypotenuse. Lastly, for tangent, we want the opposite leg divided by the adjacent leg. If this doesn’t make sense at all, then see the notes for the details.

In Algebra II, we started the Unit 5 Review. Being that tomorrow is the PSAT, we will finish this review tomorrow and then test on Thursday.

We’ve Reached Half Way!

Can you believe that we are already half-way through this class? You’re only in here until December, so you are half-way done with Math for what will probably be the 2019-2020 school year AND you get a three-day weekend.

In Geometry, we talked about Special Right Triangles. These triangles were the 45-45-90 and 30-60-90 right triangles. There’s not much I can explain here, so see the notes for the details.

In Algebra II, we tapped into our imagination and looked at Imaginary and Complex Numbers. A complex number is written at “a+bi”, where a and b are both real numbers and i = √(-1). We looked at several different concepts involving “i” and it’s more than I could even begin to type here. So, again see the notes for the details.

So close!

A three day weekend is so close! Can you feel it?! We’ve almost made it through the week and have only Friday to stand between us and a three-day weekend. We can do this!

In Geometry, we looked at the Pythagorean Theorem for the second day in a row. This time, though, they didn’t just give us the legs where we had to find the hypotenuse. Instead, we were usually given the hypotenuse and one leg. Then, we had to find the other leg. This was pretty straight-forward, as we were mainly just solving an algebraic equation.

In Algebra II, we looked Rational Exponents. That is, we looked at how to go from radical form to exponent form and back again. Then, used these principles coupled with exponent rules to help us solve simple expressions and equations. It’s “kinda” hard to explain here, so see the notes for the full details.

It’s Time for a Reset

For both classes, today marked a new beginning for grades. You may be saying, “But wait, we aren’t at the end of the Nine Weeks yet!” Grade-wise, we have seen that time come. That is, everything from today onwards goes on the next nine weeks. This means that averages restart and you are given a chance to “go out with a BANG!” Take advantage of this!

In Geometry, we started Unit 5, where we looked at the Pythagorean Theorem and learned how to simplify radicals. It is pretty straight forward, as most have seen the Pythagorean Theorem already, so there’s not much to say here other than to see the notes for the details.

In Algebra II, we looked at how to do operations with radicals. For addition and subtraction, this entailed first simplifying the radicals and then seeing if we can combine like terms. I don’t think that part was too hard. Multiplication had a little more to it, but I still don’t think it was bad. All you have to do is multiply what’s outside the radicals together, then what’s inside, and lastly, simplify the radical.

Can’t Think…

I’m tired and can’t think right now, so I’ll keep it short and sweet.

Geometry had a test day.

Algebra II looked at simplifying square roots and cube roots. The key here is to remember that on square roots “Couples go out on a date (go outside the radical), singles stay home (stay under the radical).” Then, for cube roots, say concept, but we look for triplets…see the notes.

Manic Monday

*singing*
It’s just another Manic Monday.
I wish it was Sunday
‘Cause that’s my fun day
My I don’t have to run day
It’s just another Manic Monday.
*end singing* (Song is “Manic Monday” by The Bangles)

In Geometry, that’s exactly what it felt like today. Not only is this the last week of the 1st Nine Weeks, but it’s also a review day for our last test that goes on the Report Card. Nothing to really see here, so just go study!

In Algebra II, we looked at solving square root inequalities by graphing. This is pretty similar to solving square root equations by graphing, but this time we are dealing with an inequality. See the notes for the details.

Happy Fantastic Friday!

We’ve made it to another FriYAY! I know those Panthers are going to fun into the Magnolia stadium and claim it as Panther territory. Go LP!

In Geometry, we had yet another practice day for this unit. We looked at content from the last half of Unit 4, which involved midsegments, inequalities in one and two triangles, and perpendicular and angle bisectors. So in the past two days, we’ve looked at a majority of the concepts from Unit 4. It’s not an exhaustive list, but it’s the big ones. On Monday, we will have our Unit 4 Review and then on Tuesday we would have the Unit 4 Test.

In Algebra II, we looked again at solving radical equations. This was mostly the same as yesterday, but had one main difference. Today, we learned that the index of a radical tells us what kind of root it is, for instance a cube root vs. a square root vs. a 4th root, etc. Also, we looked at the a few word problems. Don’t be scared by word problems. Find the equation, identify what you can plug in, and then solve.

Have a great weekend!

Happy Friday Eve!

It’s Friday eve! That can mean only one thing – TOMORROW IS FRIDAY! I repeat “Tomorrow. Is. Friday.” This also means we are a week out from the end of the 1st Nine Weeks, and in turn, this Math class.

In Geometry, we had a practice day over about 1/2 of the material covered in Unit 4. This involved classifying triangles, equilateral/isosceles properties, proportions/ratios, and interior/exterior angles. Tomorrow, we will practice the other 1/2 of the unit.

In Algebra II, we solved square root equations two different ways. The first way was perhaps the easiest – Graphing. The second way was algebraically. Just remember that we have to try to isolate the radical and then square both sides to rid our equation of a radical. This is different for some, so we will be spending tomorrow on it as well. In the meantime, take a look at today’s notes.