Get Real!

Or maybe you need to be rational…who knows. One thing I do know for today is everyone just seemed “over it” before the day really even began and got going good. That’s okay though, because we still had to push through.

In Algebra II, we looked at imaginary and complex numbers. We talked about what the imaginary number, i, is and what it’s value was. Then, we solved some basic equations and performed operations using this i value.

In Geometry, we had yet another practice day. This means our test is getting ever closer. We have the actual review tomorrow and then a test on Thursday. This gave us yet another opportunity to work with something that may not be as familiar, since I wasn’t here to actually teach the lessons last week.

Take Two!

Well, we are on the down-hill slope of the spring semester, and year for that matter. With the end of Spring Break having come and gone (I hope everyone had a GREAT one!), this is the start of the 4th Nine Weeks, which means this is the beginning of the end for the 2018-2019 school year. Let’s make this one count!

In Algebra II, we looked at Rational Exponents. To do this, we needed the help of our exponent rules from the earlier chapter. So, we reviewed these, but then moved on to chart new waters. This is hard to explain other than we spent most of the day bouncing back and forth between radical form and rational exponents.

In Geometry, I know a lot of y’all may have lost a little knowledge (or at least the cobwebs started forming), so we had a practice day. This is a day where we put together the last half of the unit into one nice, concise lesson. Also, it helped because it enabled me to explain something topics that I was not here for and the video simply did not do them justice. Nonetheless, it was a good day!

Are we cold enough yet?

Is it cold enough for you, yet? I’m not sure how y’all feel but when I feel icicles growing off my nose when I walk outside, that’s pretty cold! At least it’s nice and toasty in the classroom, where learning can still take place.

In Algebra II, we looked at how to solve square root inequalities by graphing. This was pretty straight-forward if you understood how to graph square root functions. The only tricky part was understanding how to write the inequality. See the notes for the details.

In Geometry, we had a fun/easy day on the calculators. As such, nothing much was missed here.

Algebra II:
Notes – U5D4 Lesson – Solving Square Root Inequalities
Assignment – Day 4A – Solving Square Root Inequalities

Can Time Slow Down?

Have you ever been excited and wanted time to speed up but at the same time want time to slow down because there is so much that needs to be done by a certain date/time? That’s exactly how I’m feeling this week. Nonetheless, time keeps moving forward whether we want it to or not, so I guess it’s time to “Suck it up, buttercup.”

In Algebra II, we looked at More Radical Equations and Applications today. This was basically an extension of what we did on Friday with one little new nugget of information – the index. Simply put, the index of the radical tells us how many roots we are taking. For example, if the index was 3, we would be taking the 3rd (cube) root. So, to undo this algebraically, we would need to raise both sides to the 3rd power.

In Geometry, we had a day to just practice a lot of what we have covered thus far. This was a good time to put everything together and get used to just pulling seemingly random stuff about triangles together into one assignment. Overall, I think it was a good lesson that may have knocked off a few cobwebs.

T – 1 Week!!!

Can you believe that we are only one week away from Spring Break?! Just for that, I say we have easy lessons today!

In Algebra II, we looked at solving radical equations. We looked at doing these both graphically and algebraically. I think across the board, all classes felt this was pretty easy and straight-forward, as evidenced by the number of assignments that got turned in today.

In Geometry, we looked at different segments within triangles. These segments included perpendicular bisectors, angle bisectors, medians, and altitudes. They are a little hard to explain just typing, so see the notes for the details.

Have a great, safe weekend and remember to not do anything I wouldn’t do!

Why was the obtuse angle always mad?

Because he was never RIGHT! …#BadMathJokes

For real, though, math is on of the punniest languages that exists. You can just rip a pun and it’s awesome…at least if you get them. Anyways, let’s get down to business (to defeat the Huns!)

In Algebra II, we started our next unit over Radicals. I’m not sure if it was the weather or what, but I was hoping this radicals unit would be “radically” awesome, but no one seemed to have fun today. But, I sure did! We learned how to graph square root functions using the infamous a, h, and k transformations that we were introduced to in Unit 1. I told y’all they would be our best friends and they have yet to disappoint…I promise there will be more of them to come in the future, too!

In Geometry, we look at ratios. This started out simple with cross-multiplying proportions, finding slope, etc. Then, we stayed simple, but started looking at ratios as they relate to similar geometric figures. The main figure we were interested in was the triangle, but we had to include everyone to be fair, so we did! See the notes for the deets!

We’re Almost There!

Keep holding on, because you’ve almost made it to Spring Break 2019!! We just have a short week and a half until we get a break.

In Algebra II, we tested over factoring. Tomorrow, we will start a new unit on Radicals. It will be a “radically” awesome time, dude!

In Geometry, we looked at, for the second day, shortcuts to proving triangles are congruent. These shortcuts are as follows:

  1. SSS (Side-Side-Side)
  2. SAS (Side-Angle-Side)
  3. ASA (Angle-Side-Angle)
  4. AAS (Angle-Angle-Side)
  5. HL (Hypotenuse-Leg)

Make sure to look at the notes for the details!

Notes – Unit 4 Day 4 part 2 Congruence shortcuts
Assignment – Unit 4 Day 4 part 2 Assignment

Keep them doggies rollin’

That’s what we keep doing it seems – rolling rolling rolling along. We are already almost done with the 1st half of the course, meaning that it is almost report card time, so don’t get caught with your grades down!

In Algebra II, we finished the last topic in our factoring unit. This involved factoring higher order polynomials, i.e. x^3 and higher. We saw that there are two methods to do this with details of both in the notes:

  1. Factor by grouping
  2. Factor using Synthetic Division

In Geometry, we looked at proving triangle congruence. This meant showing all three sides and all three angles are congruent. It was a tedious process, but nonetheless we pushed through. Now, tomorrow, we will get to use some shortcuts!

It’s FriYAY!!!

The day we’ve waited all week for is finally upon us…Friday! While we may have been antsy for the weekend, the learning must continue.

In Algebra II, we looked at what happens when there is something other than a 1 in front of the x^2 that we cannot factor out. We were able to factor the trinomial, however, but we had to use something called “Factor by Grouping”. This is difficult to explain here, so see the notes.

In Geometry, we dove deeper into isosceles and equilateral triangles. Again, there’s not too much to say here, so see these notes as well.