Alg II Files: Inequalities

Posted on 0 comment

(More files and FAQs here) Oh, holy moly. I thought it was a good plan to have all the inequalities in one chapter, like I did with equations and graphing. We could revisit all of our graphs and equations again, notice similarities/differences…yeah, not so much. Much like any traumatic event, I’ve blocked out many of the details. I just remember ending each period completely frazzled.

So, well, here you go. Do with it what you will.

(file) I tried doing the “test each region” method of compound inequalities. I’m pretty sure I don’t like it and prefer the draw-each-number-line-then-shade-overlap method.

Here’s some homework:

(file) Hey, you know what would be really cool?  If we did a notice and wonder with some pre-solved absolute value inequalities!

(blank file and file with solutions) Oh, wait, I meant “not cool.” How I was being tested this day, when after 10 minutes one group’s contribution was “they all had absolute value bars.” So we did some formalized notes the next day.

(file) I just really don’t want to talk about absolute value inequalities, okay? Let’s talk about something more pleasant, like two-variable inequalities. Happy sound of everyone shading!

(file and homework file). Then I tried combining a graphical approach with quadratic inequalities:

(file) No. Just no. To be honest, even though it’s in Algebra II, I’ve always kept these until Precal and taught it using sign charts. I think that’s a good place for it.

We did all love some systems of two-variable inequalities!

(file) Now would have been a great time for linear programming, but we were running into final exams, so I just did one more lesson: radical inequalities

(file) You can see here I went back to the draw-two-lines method of finding the solution.

Then this chapter was finally done and we had a study guide:

(file and video key part 1 and part 2) And I think that’s all I want to say about this chapter!!

Category: Alg II | Tags:

Ok, technically, “Quadrilaterals and Polynomials,” but doesn’t “Quads and Polys” sound more fun? Also, this is my second-to-last unit for my Precal Files so my goal of having them up before school starts may actually happen! (See more of the files and FAQs here).

So most of this should be a review for Precal students so we booked through quite a lot of it. Starting with a quick review of parabolas:

(file here, modified from unknown source)

Some homework for the chapter:

Then we did a really cool NMSI activity about concavity. I added this to the end of it for a little derivative preview:

Review graphing polys:

And dividing polys:

And solving polys!

And solving polynomial/rational inequalities:

(file here) I did a factor-sign-row chart and we also did a mini-graph on some to determine the signs. If you’d like to see more about the factor-cool-way to do sign charts, here’s a showme video of me doing a quick explanation.

A pretty intense group-work day on these inequalities:

(file here) And then wham, bam, time for the study guide!

(file here) And if you’re superinterested (or want to use the study guide and not make a video yourself), here is the showme video key.

Only one more unit to go!  Woot woot!

HERSHEY’S TORTE! (and Alg II Unit 1)

Posted on 0 comment

Yes, I am going to make you scroll through all of my NoteTakerMakers to get to the most delicious cake recipe in the entire world.   And, boy, do I have a lot a lot to share for this unit: number sets, order of operations, equations, inequalities, and absolute value equations/inequalities.  (Want more? Visit my new Alg II files page!)

Let’s begin with this HORRIBLE HORRIBLE first day of Algebra II notes. Hey, did someone say lots o’ definitions and then stupid review problems?  I’m interested! The good news is I’ve scrapped it for better things (e.g. Desmos Function Carnival), but you never know when you need a good number sets graphic organizer.  I usually just casually mention the sets as needed, but I think maybe this year, I’ll give each student a number and have them group themselves however they want. Maybe they’ll do even/odd, positive/negative, fractions/whole numbers, but then we could divide into even more specific groups?  And then reverse it: start engulfing each other until we are all one big happy Real Numbers Family?   Anyway, here’s the NTM:

(Ok, less talk, more files, then cake!) Order of Operations:

File here.

I even tried doing a Talking Points for Order of Operations!

Then I don’t even want to talk about my actual solving equations notes. I’m going to totally change them up next time. But for now, how about some Find The Mistake?

I only used Comic Sans to make my fellow teacher happy. Plus it can be counted as one of the mistakes to find!

File here.

And did someone say word problems?

I do so enjoy the travel chart, however, next year I’ll have them figure out what to do for each case instead of telling them.

File here.

And here’s the homework for these two sections:

Now it’s time for some inequalities!  Algebra II is the first time the students see interval notation, so this year we played a match game:

Word file here.  PDF File here-print 2 per page to get it all on the front of one sheet.

Full disclosure: it was a bit of a struggle and not sure if it was worth the time. I may revert back to this instead, or do a mixture next year.

File here.

I made a powerpoint for #1-14 so we could quickly go through them the next day in class, but you may want to use it for whiteboarding or review (each problem is animated step-by-step)

These are the notes we did this year, jumping right into compound inequalities the same day:

Next up, absolute value. I almost feel bad sharing this because I cannot teach this well.

File here. Here’s how I fill in the top boxes:

Moving right along…

Some homework:

And some practice powerpoint for the whole chapter, heavy on absolute value:

And the study guide, which as promised in my #MTBoSDirtySecrets, is very similar to my test.

And now the moment you’ve all been waiting for!!!

My Thing

My thing today is Hershey Torte. This is the yummiest cake in the entire world. On Mother’s Day I tried to make a chocolate cake with peanut butter icing. The cake part went horribly, so I rescued it by making the cake portion of this with the peanut butter icing. Then, upon tasting the final result, questioned why I didn’t just make this to start with.  Warning: I cannot be left alone with this cake.

Hershey’s Torte

CAKE:

1 box German Chocolate cake mix
1 small package instant vanilla pudding
4 eggs
1 1/2 cup milk
1 cup vegetable oil

Mix well. Pour into 3 round (greased) pans and bake for 30 minutes at 325 degrees. Cool completely before frosting.

FROSTING:

Cream together:
8 oz cream cheese
1 cup confectioner’s sugar
1/2 cup granulated sugar

8 oz Cool Whip
1/2 cup pecans (optional if your husband is anti-nut)
6 Hershey’s plain chocolate bars, chopped fine

After you have mixed everything together, frost between layers and on top. Refrigerate.

One taste and then you’ll want to: