Finals in One Week!

Final Exams are in a week! Make sure you are starting to study for not only my class, but all of your classes! Let’s finish this semester strong!

In Geometry, we looked at “Lines that Intersect Circles, Arcs, and Chords”. This involved looking at chords, secant lines, and tangent lines. We learned about one of the properties of a tangent line and then we looked at arcs with central angles. This is all a little harder to describe concisely on here, so see the notes for the details.

In Algebra II, we looked at how to “Add or Subtract (Rationals) with Like Denominators”. This involved remembering how to add fractions with the same denominator, i.e., 3/4 + 5/4 = 8/4 = 2. This example touches on the basics. All we have to do beyond this basic example is throwing in a few x’s and factor things. Other than that, the underlying concept is the same.

Flashbacks Galore!

Today was a series of flashbacks for all involved!

In Geometry, we started off looking at lines of symmetry, which many quickly said they learned in possibly even elementary. However, we couldn’t keep it that simple. We had to add in other types of symmetry. These types include rotational, translation, and glide reflection symmetry. The last two types deal with frieze patterns. If these terms confuse you, then perhaps you need to look at the notes for the details.

In Algebra II, we looked at multiplying and dividing rational expressions. This involved A LOT of factoring, which was our blast from the past for this period. Multiplying is straight-forward: Factor and cancel things. For dividing, we need to remember “Keep it, Change it, Flip it”. Then, it becomes a multiplication problem.

Brace Yourselves!

The cold is coming! I repeat. The. Cold. Is. Coming. Are you ready for our next BIG cold front coming tomorrow? If not, consider this your early warning (assuming you don’t watch the news, that is).

In Geometry, we started the final unit by looking at Dilations. Simply put, this is either enlarging or shrinking an object (think of like going to the eye doctor). To do this, we multiply the original times some scale factor (new/old).

In Algebra II, we looked at Simplifying Rational Functions. This involved A LOT of factoring. The main goal here was to factor both the numerator and denominator to see what we can cancel out. The factor that we cancel would be where a hole is at in our graph. It’s a little dense to explain here, so see the notes for the details.

Single Digits!!!

Now that today is done, we have made it to the single digits as far as the number of days before Christmas Break goes. This means that if you are in any of my classes, you only have 9 days to get your grades into check.

In Geometry, we took the Unit 8 Test over Probability. This was our last unit test for the course.

In Algebra II, we looked at finding asymptotes algebraically and graphing rationals based on those calculations. This involves a lot of factoring, so in that sense, it was a blast from the past. This factoring was to help us get the vertical asymptotes, which is where the denominator is equal to zero. The horizontal asymptotes have rules of their own, so see the notes for those rules and the other details that I’m sure I left out here.

Infinite Possibilities

If we keep our minds open, that’s what we have in store for us – INFINITE POSSIBILITIES.

In Geometry, we took this in the probabilistic sense by looking at Geometric Probability. This is what happens when our sample space is infinite but yet we are wanting a particular event to occur. So, we use geometric measures like length and area to help us out. See the notes for the details.

As far as Algebra II goes, we had our last day of TSI testing. Tomorrow, it’s back to the grind stone.

Mixing it all up!

It was more of a mix-n-match today for Geometry. That’s because we looked at both Combinations and Permutations. In doing this, we had to decide if order mattered, whether or not we had repeats, how to handle any repeats, and other stuff. I’ve already talked about each of these separately, but just remember that for Combinations, order does not matter, and for Permutations, order does matter.

As far as Algebra II goes, we were TSI testing today, so nothing to see here.

December is upon us!

Believe it or not, December is upon us! Make sure your grades are where you want them to be because we only have 13 school days left. If you aren’t passing after those 13 days, you won’t get credit!

In Geometry, we looked at Combinations. The key to remember here is that order does NOT matter and we cannot have repeaters (no replacement). We looked briefly at permutations, but not much. There’s not really much that I can say here to help describe them other than that we learned that this is precisely how the Texas Lotto and Texas Two-Step (another type of lottery) work. See the notes for the details.

In Algebra II, we reviewed briefly for the TSI exam, which we will take Tuesday and Wednesday.

The Break is Near!

The excitement is in the air as we are at the brink of a much-needed, much-deserved week long break for Thanksgiving. Today was the last day of normality before our half-day tomorrow, which will be a Meme-tastic way to end the week!

In Geometry, we had a true “normal” day in the sense that we did the second lesson of Unit 8, which is over Permutations. The key to remember here is that for a permutation, we have to have it to where 1.) Order Matters and we 2.) Sample (Draw) without Replacement. If this is the case, then we have a permutation.

In Algebra II, we had our Logarithms & Exponentials test.

On the Prowl

The Panthers were on the prowl today…well, at least in the Geometry classrooms they were.

In Geometry, we had a scavenger over area, perimeter, surface area, and volume. This scavenger hunt was part of our Unit 7 Reteach activities. This concluded the reteach, which means the Unit 7 Re-Test is tomorrow. Study hard (again)!

In Algebra II, we had our last Unit 8 lesson, which covered word problem applications of logarithmic and exponential problems. These applications ranged from finding populations, depreciation values, etc. Other than that, it was more of a review. This is a good thing because in addition to our CBA that we are having tomorrow, we have a Unit 8 Review. This means the Unit 8 test is looming in the near future (THURSDAY!).