Just like that, we have finished the first three weeks of this course. Can you believe it!?
In Algebra II, we marked the milestone by learning about how to graph a system of inequalities. This is very similar to what we were doing yesterday but with inequality symbols. If it was “>” we had a dotted line and we shade above, “<” tells us to do a dotted line and shade below, and if you add the “or equal to bar” the above/below rule stays the same but we’ll just draw a solid line instead. Where everything overlaps, that’s our solution to the system of inequalities.
In Finite, we finished talking about graphs of functions and started talking about applications of linear functions. See Blackboard for more details, including a video of the lesson.
Ever had a day where you felt like you were going in every direction at one time? Yeah, that’s how today was for me…and probably tomorrow too, for that matter.
In Algebra II, we started Unit 2 by looking at solving systems of equations by graphing. This was pretty straight forward, as we just need to get the equations into slope-intercept form (y = mx+b) and graph them. Wherever the lines crossed is our solution. If they didn’t cross, then they are parallel and would have No Solution. If they were the same line, then there were Infinite Solutions. Pretty easy stuff.
In Finite, we finished Section 3.1 over Functions by talking about piece-wise functions and then a Tax bracket example. This led right into Section 3.2, which talked about Graphs of Functions, namely, piece-wise functions. On that note, make sure to try logging into Blackboard because that’s where I post recordings of every class, notes, and other things.
I was just about to go out the door and then I realized I never made today’s post.
Algebra II took their test over Linear and Absolute Value equations and inequalities.
Finite started looking at Section 3.1 regarding Functions.
I have a dream that one day, Math is be 100% fun and full of exploration. A dream that will involve not just solving brute-force calculations but working to solve a “mysterious” project where learning truly takes place, people are open and willing to make mistakes in the name of learning, and actually have FUN while doing it. …This dream may not be realized this year, next year, or even the year after, but I hope that one day we can structure our math courses in this manner.
On a more realistic note, Algebra II spent the period getting ready for our first test that covers equations and inequalities. These equations and inequalities involve both “normal” (linear) functions and absolute value functions. As long as you study the review, you’ll be just peachy.
In Finite, we had a bell-to-bell day. We looked at how to build linear models given a set of data and ultimately capped off the day learning how to do linear regressions in the calculator. Hopefully tomorrow won’t be as jam-packed, but we’ll have to wait and see.
Not only did we survive the first full week of this semester (remember last week was a short week), but we have a three-day weekend. Wahoo!!! Enjoy the extra day off!
In Algebra II, we had a small review day where we looked at all things involving absolute value. These including equations, inequalities, and graphing. There wasn’t anything new, just recalling what we’ve already done.
In Finite, we graded a couple of assignments and then just had a day to work on what’s due Tuesday.
Though many consider Enrichment Schedule for Club Meetings “normal”, it sure does through a monkey wrench in our daily routine.
In Algebra II, being that y’all are 1st and 5th, no monkey wrench was thrown via the schedule. However, some many feel the monkey wrench came the from notes and assignment for today. We looked at the last topic that will be in Unit 1. This topic was over how to solve Absolute Value Inequalities Graphically. We still used the same steps from Tuesday, but man, those sign got us just about every time! These steps are 1.) Isolate the absolute value, 2.) Split into positive and negative equations (flip sign on negative), and 3.) Solve/Graph each inequality.
In Finite, we finished looking at Equations of Lines (Section 2.2) by looking at point-slope form and then real-world applications. This is where the time-management monkey wrench came into play. With our period being 15 minutes shorter, my plan of having time to work pretty much vanished by the time we graded 1.7 and then finished our 2.2 notes. But, alas, tomorrow is a work/catch-up day!
If short notes in class are your version of hitting the jackpot, then all classes were in luck today because the notes were just that – short!
In Algebra II, we looked at solving absolute value inequalities graphically and by using a table. When solving graphically, we graph the absolute value function using “a”, “h”, and “k” transformations and then evaluate the inequality. If the part of the graph we want is considered the “legs” of the function, then we have an “or” inequality. Otherwise, if the part of the graph we want contains the vertex, it’s an “and” inequality.
In Finite, we started the section of Equations of Lines. Most of today was spent looking at the slope of a line and slope-intercept form of the line. There was very little application in today’s notes other than parallel and perpendicular lines. But, have no fear, applications come tomorrow for us!
This rain needs to go away because it’s had me sleepy all day long. I think it’s having the same affect on some of y’all as well 😉
In Algebra II, we picked up where we left off yesterday – solving absolute value equations by graphing. This part is pretty simple if you know how to graph. What’s newer today is solving these equations algebraically. This can be done in three steps: 1. Isolate the absolute value, 2. Split into positive and negative solutions, and 3. Solve each split for x. Just remember ISS (Isolate. Split. Solve.) and you’ll be golden.
In Finite, we had another bell-to-bell day unfortunately. We had to get finished with Section 2.1 even though we barely started it yesterday. This meant that after grading Section 1.6, we spent the rest of the period working on the 2.1 notes. That’s okay though, because I have moved the Section 2.1 assignment to being due on Friday instead of Thursday.
I don’t know about you, but for me, part of today felt like a “Monday” and the other part felt just like any other day. Nonetheless, we survived Monday!
In Algebra II, we looked again at graphing Absolute Value functions using our “a”, “h”, and “k” transformations. This part, as well as the domain and range of the functions, was an extension of Friday’s exploration activity.
In Finite, we finished our section on Quadratic Equations and started Section 2.1 on Graphs …and by started, I mean barely started.
We made it through the first week back! Now, since y’all were so good, I’ll give y’all the next two days off in the form of Saturday and Sunday.
In Algebra II, we explored transformations using absolute value functions. These involved being introduced to the “a”, “h”, and “k” threesome. Through the course of this semester, they will become either your best friends or your worst enemies. It’s up to you to decide which one, but hopefully you’ll pick the former. Remember, “a” tells us stretch/shrink/flip, “h” tells us left/right and is the opposite of what’s in the function, and “k” tells us up/down.
In Finite, I had to run to AC 4th period. So, today was a work day. Your first assignment (Section 1.2) is due on Monday.