livingdeb: (Default)
The situation: A brownie recipe I like requires unsweetend chocolate, but I try to buy only shade-grown chocolate*, which I usually can't find as unsweetened chocolate, but I can find it as dark chocolate chips, which are a staple around my house.

The speculation: Chocolate chips have extra sugar, but plain sugar is also needed in the recipe. Therefore, I should be able to increase the chocolate and reduce the sugar to get the same result. But by how much?

Algebra to the rescue!

Givens:
* Recipe requires 3 oz = 85 g unsweetened chocolate
* Recipe requires 1 cup sugar

Conversions:

* 1 tsp sugar = 4 g sugar
* 1 cup of chocolate chips is 163 g (according to a recipe on the back of the package)

Assumption:

Chocolate chips = unsweetened chocolate + sugar

Step 1: Find out how much is chocolate and how much is sugar.

I looked at the nutrition label which is required to show how much sugar is in one serving: Each 15-g serving has 6 g of sugar. Including 5 g of added sugar.

Okay, what? Does chocolate have sugar already? The ingredients are only cacao beans, cane sugar, sunflower lecithin, and vanilla. Searching online, it appears that 29 g baker's chocolate has 0.3 g sugar, none of which is added. I will say that's close enough to zero to ignore. I will therefore use the figure for total sugar.

So in a 15-g serving: 6 g is sugar and (15 - 6 =) 11 g is chocolate.

Step 2: Find out how many grams of chocolate chips I need to get 85 g of unsweetened chocolate.

85 g needed = 11 g / serving * number of servings needed.
servings needed = 85/11 = 7.73

Each serving is 15 g so I need 7.73 servings * 15 g/serving = 115.9 g

Since 1 cup is 163 g, 115.9 g is 0.71 cups or about 3/4 cup.

Step 3: Find out how much sugar is included in 7.73 servings of chocolate chips.

7.73 servings * 6 g/serving = 46.4 g

Step 4: Find out much additional sugar is needed

200 g total needed - 46.4 g from chocolate chips = 153.6 g plain sugar.

Since 1 cup is 200 g, I'll need about 3/4 cup of sugar.

In conclusion:

I will sub 3/4 dark chocolate chips + 3/4 cup sugar for the 80 g of unsweetened chocolate + 1 cup sugar

* Chocolate is rarely, if ever, labeled as shade-grown. However, organic chocolate, fair-trade chocolate, and rainforest-certified chocolate are all shade-grown. They do not require cutting down rainforest to grow. They require working inside the rainforest which is more time consuming and thus more expensive.

For these calculations, I am using Guittard extra dark chocolate baking chips (63% cacao), which is Fair Trade Certified.
livingdeb: (Default)
The physics

Because I know there are three dimensions, I put my hard-boiled eggs through the egg slicer three times, in positions that made the slices at right angles to the previous cuts. (The first cut makes slices, the second cut turns those into rods, the third cut turns those into cubes.)

Okay, technically I probably learned this from my mom, but I remember it because of physics.

The egg salad

Recently I've been scooping out the yolks first so I could smash them up nice and smooth, mix them with the mayonnaise, mustard, and spices, and then cut up the whites as best I could and mix it all together.

This time I went back to putting the whole egg through the slicer. This was much easier than just trying to cube the egg whites and it came out plenty smooth enough. Today's recipe, which I like, had:

eggs
mayonnaise and yogurt in about a 2:1 ratio
mustard (much less)
garlic powder (some)
onion powder (lots)
paprika on top

Post of the Day - Raptitude's Go Deeper, Not Wider - "I keep imagining a tradition I’d like to invent. After you’re established in your career, and you have some neat stuff in your house, you take a whole year in which you don’t start anything new or acquire any new possessions you don’t need. ... You improve skills rather than learning new ones. You consume media you’ve already stockpiled instead of acquiring more. You read your unread books, or even reread your favorites. You pick up the guitar again and get better at it, instead of taking up the harmonica. You finish the Gordon Ramsey Masterclass you started in April, despite your fascination with the new Annie Leibovitz one, even though it’s on sale." This should be much easier for people like me and my readers who have been collecting activities for a very long time.
livingdeb: (Default)
I currently have some paper-shuffling duties. One of today's goals: Given a big box of cards (about half orange and half purple), put together 155 decks of cards. Ideally, each deck would have 20 orange cards and 20 purple cards. But we don't have enough cards to do that. So get as close as you can.

Plan A: Deal out the cards as if to 155 players. When you run out of cards, you're done.

Problem: I do not have the space to lay out 155 stacks of cards.

Plan B: Make 155-card stacks with the orange cards and make more with the purple cards. Take one card from each stack to create each deck.

Solution: I ran out of cards after creating 16 stacks of orange cards and 13 stacks of purple cards. So we have enough cards for each deck to have 16 orange cards and 13 purple cards.

Notes: I always call this the communitive property for some reason. (I think of equations more as communes than commuters?) Also, yes, these cards look quite ugly together.
livingdeb: (Default)
The problem

I love chili, but only when I make it using the Carroll Shelby mix. However, I don't like to be dependent on companies that may go out of business, may change their recipes, or otherwise may no longer be available to me. Also, when I'm feeling poor or suddenly in the mood when I have the ingredients but not the mix, then I can still make it.

The givens

The recipe

The recipe tells me all the ingredients I need, but some of the quantities are missing:
* 2 pounds ground beef
* 1 8-oz can tomato sauce
* 2 8-oz cans water
* spice packet
* salt packet
* cayenne pepper packet
* masa flour packet
1/3 cup water

(I use only 1 pound ground beef or ground beef substitute and three cans of beans--the horror!--plus try to remember to finely shred a zucchini or something for extra nutrients. I also don't use the cayenne pepper, but it's still useful data.)

The ingredients

The ingredients are listed in order by quantity, I think by weight but maybe by volume. Here is the list:
* corn masa flour
* ground chili peppers
* salt
* garlic
* cumin
* oregano
* onion
* paprika
* cayenne pepper

The nutrition information

* serving size: 2T (19 g)
* servings per container: ~6
* container size: 4 oz or 113 g (19 g x 6 = 114, so that's pretty close)

Per serving:
* calories: 60
* fat: 1 g = 10 calories
* sodium: 1320 mg
* carbs: 12 g
* fiber: 0 g
* sugar: 0 g
* protein: 2 g
* Vitamin A: 30%
* Vitamin C: 0%
* calcium: 4%
* iron: 10%

Math

Measure

I tried to measure the quantities in each packet using my preferred method when I am cooking and also using a kitchen scale. Neither of these involved precision measuring, but I did my best.

* spice packet - 3/4 cup (= 12 tablespoons); 2.6 oz
* salt packet: 1 1/2 teaspoons (= 1.5 tablespoons); 0.3 oz
* cayenne pepper packet: 1/2 teaspoon; did not weigh*
* masa flour packet: 1/4 cup + 1 tablespoon (= 5 tablespoons); 1.1 oz

*I thought it would be difficult to put the cayenne pepper back in the packet for Robin to use later if I emptied it into a bowl to be weighed, so I didn't weigh it.

Test volume/weight assumption

The ounces per tablespoon for the three pieces of data for which I had both numbers were:
* 2.6/(12) = 0.22
* 0.3/1.5 = 0.20
* 1.1/5 = 0.22

These looked close enough for me to feel comfortable doing all my calculations with volume, even if the ingredient order is based on weight.

Another assumption

I assumed that only the spice packet was a multi-ingredient packet and that it had only the ingredients that were not in the single-ingredient packets.

Deduct and calculate

Masa flour is the first ingredient (5 T). Chili powder is the second ingredient, so there must be 5T or less.

Salt is the third ingredient (1.5 t), so there must be at least 1.5 t of chili powder.

Garlic, cumin, oregano, onion, and paprika were next and above cayenne pepper (1/2 t), so each of these ingredients must be between 1/2 t and 1.5 t. There are five of these ingredients, so the total volume must be between (0.5 x 5 =) 2.5 t and (1.5 x 5) = 7.5 t or almost 1 T to 2.5 T.

Subtracting from the total volume of the spice packet, this leaves between (12 - 1 =) 11 T and (12 - 2.5 =) 9.5 T. Both of these quantities are well above the 5-T limit. Uh oh.

Adjust assumptions

My best guess at the problem is that the spice packet contains additional salt. Dastardly! If so, the 1.5 t measurement for the salt would be too low.

More data and calculations

I looked up the sodium on my container of salt: 390 mg/serving; 1/4 teaspoon per serving

390 x 4 = 1560 mg sodium / teaspoon of salt

Sodium in kit: 1320 mg/serving x 6 servings = 7920 mg

New estimate of salt in kit: 7920 mg / 1560 mg/teaspoon = 5 teaspoons. Yowza!

Estimate of salt in spice packet: 5 t - 1.5 t = 3.5 t or just over 1 T.

New estimate of spice kit ingredients not including salt: 12 T - 1 T = 11 T.

Re-do deductions and calculations

Continue assuming there are 5 T or less of chili powder.

Salt is the third ingredient (5 t), so there must be at least 5 t of chili powder.

Garlic, cumin, oregano, onion, and paprika were next and above cayenne pepper (1/2), so each of these ingredients must be between 1/2 t and 5 t. There are five of these ingredients, so the total volume must be between (0.5 x 5 =) 2.5 t and (5 x 5) = 25 t or almost 1 T to 8.3 T.

Subtracting from the total volume of the spice packet, this leaves between (12 - 1 =) 11 T and (12 - 8.3 =) 3.7 T. One of these quantities is now below 5-T limit. Whew.

More data and calculations

I decided to assume that the vitamin A came virtually exclusively from the peppers. I looked up the nutrition facts for my chili powder, but it did not list vitamin A. So I looked online. Mostly I just found information on fresh chilis (which also have plenty of Vitamin C, which does not exist in the mix), but then I found The World's Healthiest Foods which lists 9% per 2 t or 4.5% per t.

The kit lists 30% per serving or (30 x 6 =) 180% for the whole kit. That implies (180 / 4.5 =) 40 t = 13.3 T. Even assuming cayenne has a similar amount of Vitamin A and subtracting that 0.5 t, that still leaves way more than 5T for the chili powder. Oh, well.

Nearly random guessing

Next, I guessed the additional quantities based on things like the color of the spice packet (it looked like a pastel version of chili powder color, implying lots of white ingredients like garlic powder and onion powder--and salt). And I also guessed based on the yumminess of the ingredients and based on my experience with other recipes.

* chili powder - 1/4 cup (= 4 T) (assuming if it was equal to the masa flour, they'd probably rather list that first, therefore it's probably less, but not much less)

That leaves (12 T - 4 T chili powder - ~1 T salt =) ~7 T (21 t) for the other ingredients, each of which must be less than or equal to 5 t, but more than or equal to 0.5 t. The average would be about (21 / 5 =) 4.2 t each.

Usually people put less garlic than onion in their recipes, so I was surprised that this kit reversed that. Tex-Mex recipes usually have just a small amount of oregano, and so I assumed that was happening here, too. So I'm guessing there's significantly more of the first two ingredients below than the other three. Only, there's not much room for there to be much difference, so:

* garlic - 5 t
* cumin - 5 t
* oregano - 4 t
* onion - 4 t
* paprika - 3 t

Conclusions

I should try making chili with the following ingredients and see if I like it:

* 2 pounds ground beef (actually, 1)
* 1 8-oz can tomato sauce
* 2 8-oz cans water
* 1/4 cup chili powder
* 5 t garlic
* 5 t cumin
* 4 t oregano
* 4 t onion powder
* 3 t paprika
* 5 t salt
* 5 T masa flour
* 1/3 cup water
* 3 cans beans
* 1 zucchini, finely shredded
livingdeb: (cartoon)
I almost shredded the credit card application like always, but then I noticed that the reward was 1.5% on everything. My current rewards credit card pays me 1.1% on everything + 10 cents per purchase + 4% on a rotating set of categories. I don't buy much in the different categories. (There was a nice surprise when one of the things on my vacation turned out to be in the "amusement park" category. And I generally can manage to buy gas when there's a gas category.)

An added bonus is that you don't have to wait until the rewards add up to a certain minimum amount like with my current card; you can cash them in every month.

Another added bonus is $100 if you charge at least $500 during the first three months.

That sounds better. But is it really? I looked at all of this year's statements and calculated the percentage I actually earned. It was above 1.5% for five months and below it for five. Duh, I added up the total expenditures and total awards and saw that overall I've earned 1.4%. The higher percentages mostly happened in the months where I spent less, which is in the months where I didn't have any large expenditures like property taxes or car insurance.

So it looks like a good idea to switch to this new card. I don't really want to carry around a lot of credit cards. But R's on my account, too, with his own credit card number, so things might be easier if I left the old card open.

And then I remembered how it wasn't much of a problem when I used to have two rewards credit cards before and thought that if I get the new one, maybe I should use both. I'd use the old one for small purchases and purchases in a category with extra rewards and the new one for everything else. But what's the cut-off point for small? Algebra will tell me!

(I almost never get to use algebra; for some reason I get really excited when I have the chance to use it.)

The question: When does 1.1% plus 10 cents = 1.5%? (Okay, it's whenever 0.4% is a dime. I don't even need to do all the work. But I almost never get to!)

0.011x + $0.10 = 0.015x

$0.10 = 0.015x - 0.011x

$0.10 = 0.004 x

x = $0.10/0.004

x = $25.00

Check work:

($25 * .011) + $0.10 = 0.275 + $0.10 = $0.375

$25 * .015 = $0.375

Of course then there's the whole question of whether they'd actually give a credit card to a jobless person. Yes, they do ask for income. Oh, but for my current employment status I could check the "Retired" box instead of the "Unemployed" box. They do ask the value of my investment accounts. Although the highest category is just "More than $50,000," not necessarily enough to finance a retirement. Oh, I would also get to say that I own my home and that my "Monthly rent/mortgage payment" is zero. Freakish.

So then because it's modern times, I did some online research. The new card is well reviewed. And I learned another bonus: it doesn't have that extra fee for using it in foreign countries.

Then I went to a forum for people who want to save up loads of money and live super cheaply so they can retire young and I asked what people who have already done that should put on their credit card applications. They said by no means say that I'm retired. Credit card companies like people whose income is increasing faster than inflation (and who might not be about to die on them with unpaid debt). I should say that I'm self-employed. They said it's okay to use a round number for the salary--that doesn't set off alarm bells for them like it does for the IRS.
livingdeb: (Default)
I went to Nerd Nite this month even though because it's February, the same month that has Valentine's Day in it, the theme is sex and dating. I went mainly because one of my friends was doing one of the presentations, but they all turned out to be fun. I don't know how people (especially nerds) get so confident on the stage, but just like last time I went, all three of the speakers were engaging.

“Steers and Queers: Sex Toy Laws in Texas,” by Julie Sunday

I don't care about sex toys myself, so I have not paid attention to laws about them. I figured the picture would be pretty grim. It turns out that it became much less grim in 2008.

Before 2008, it was illegal to sell or to promote (or give away) sex toys. However, it was not illegal to own them, so long as you had no more than five. (If you had more than five, you were obviously a distributor.)

What was considered a sex toy? Any device designed for the stimulation of human sexual organs. This means the electronic bull ejaculator was legal. It costs $1,500. Our speaker showed us a picture and said, "I don't even know what all those parts are." "Butt plugs" are also legal, since butts aren't sexual organs.

Even now, sex toys are sold as "novelties." That's because novelties are not regulated by organizations such as the Food and Drug Administration (which regulates other things that go in the body), the Consumer Product Safety Commission (which regulates children's toys and other products), or the Centers for Disease Control (which regulates other health related things).

Even now, phthalates, banned for use in children's toys, are still routinely used in sex toys (as well as shower curtains, raincoats and rubber boots). Toys made with phthalates, which help soften plastic, have a waxy look to them and a sweet vanilla sort of smell. Also, our speaker explained that they are "totally crappy and gross." They reduce sperm count in men and in future men (fetuses). The phthalates get absorbed through the skin, and the closer they are to the sex organs, the worse the problem is. Sex toys often get close to sex organs for some reasons. Our speaker recommended that if you have any toys made with this stuff, you should throw them away and get some better ones. She recommended hard toys, or, if you prefer soft ones, go for silicone.

She also mentioned that sex toys can be therapeutic for both sexes: orgasms relieve menstrual cramps and frequent ejaculation reduces the risk of prostate cancer.

Someone asked her if it was ever okay for a mother to give her daughter a sex toy, or is it only okay for the cool aunt to do. I liked her answer. She said just try not to train them that sex is dirty or disgusting, and they will find their own sex toys. There are plenty of ordinary children's toys that happen to vibrate, for example, such as a vibrating pen she used to have as a kid.

“The Mathematics of Dating,” By Sheena Madan

What's a good way to match people into stable couples? The stable marriage problem looks at the situation where you have the same number of heterosexual men and women, and each person can rank the members of the opposite gender.

The speaker described the stable marriage algorithm as being like the math of 1950's dating. First all the men go to the balconies of their number 1 pick and sing to them. Each woman with wooers chooses her favorite one. The next night, all the remaining men go to their number two pick, etc. In the end, all the people will be matched up and there will be no rogue couples. A rogue couple is made up of two people who both like each other better than the person they are with.

Then the speaker explained that she had done ten years of field research with this algorithm. First, in the description given above, are the marriages optimized for the men or the women? For the men--they get first pick. So the lessons from that are to a) hit on everyone, going down your list and b) have a thick skin (to handle any rejections).

The speaker's field research suggested that women should not use the "club and drag" technique. Instead, it's better to try flirting (she recommends the Social Issues Research Centre's Guide to Flirting).

Here's another lesson: don't settle. If you add to the stable marriage problem the idea that people can have standards, the result is that not all the people will be matched up. And this is a good thing. It's better to be single than to be in a bad marriage. So, you should be willing to reject, even if there's only one guy.

There are several problems with the model. One is that iterations can take a long time. One is that in real life there are influxes of new people. And one is that you can change your mind.

(To me, the biggest problem is that you don't have perfect information, and so you can't actually rank people properly.)

The speaker also recommends that if you find your soulmate through other means, ditch the algorithm and go with it.

There is a similar algorithm for many-to-one matches called the hospitals/resident algorithm.

An audience member suggested that a similar situation exists for employer/employee matches. (Interesting. That implies that jobs are optimized for the employee since we are the ones showing up at the employer balconies and they are stuck choose from us or going without.)

“An Introduction to Erotic Fan Fiction For Aspiring Writers,” by F*Bomb

Why write erotic fan fiction? Because it's easier than regular fiction. As with all fan fiction, you've already got characters and setting created for you. And with erotic fiction, you already know what the characters will be doing.

The speaker explained that the general rules of good writing apply. Show. Don't tell.

In addition, erotica is not porn. It's all about the crushes and the build-up. Tease and toy with your reader.

In addition, for fan fiction, do not introduce new characters. It's cheating. And for a TV show, especially, there are plenty of secondary characters to choose from if you need to.

Working with restrictions can help you be more creative.

The speaker was asked if there was a way to make money doing this. No. a) Fan fiction is based on shows that nerds like. In other words, shows that get canceled after two seasons. Shows that themselves don't make any money. b) Fan fiction tends to be pretty crappy.

Blog Entry of the Day - Setting the bar low: Suck less at What Now? This is about how sometimes setting the bar low can help you accomplish more than otherwise.
The beauty of this new mantra ["suck less"], I now realize, is that it makes my typical self-deprecation pointless. Today, for example, I was mostly a slug all morning and then took a nap in the afternoon, accomplishing essentially nothing for hours at a time. And under normal circumstances, this would send me into a spiral of shame about how good for nothing I am. But instead, when I woke up from my nap, I thought, "Well, I've sucked thus far today; now it's time to suck less." And I did. Was I amazingly productive afterward? Well, no. But did I suck less? Darn tootin'! And I'm much more cheerful for it.
livingdeb: (Default)
In a version of the Six Degrees of Kevin Bacon game, I found out today that I am only two degrees from space. I dance with someone whose brother is in space right now.

**

We learned that if you are wearing a space suit and you are trying to clip your tool bag back on your belt, which you can't quite see from inside your giant stay-puff marshmallow man outfit and which you can't quite feel through your thick padded gloves, it's hard to tell whether you've actually clipped it back on your belt or not. Usually there's a second person there, helping you notice things like this.

**

I just realized that Bacon is a really odd name. I wonder if any Jewish people are named Bacon. Or if anyone named Macon has Bacon for a last name--that would be bad in at least two ways.
livingdeb: (Default)
(Or "Am I Blowing This Recipe?")

I tasted this really yummy sweet potato casserole that was obviously a dessert though served as a side dish. I did not ask for the recipe because I figured it would be really super evil. But Robin did. And I was right. But I decided to leave out some of the evil stuff and see if it was still good. (That's not where the math part comes in, though.)

Ingredients

"3 cups mashed sweet potatoes" - it turns out that the sweet potatoes that come in a big can are enough to make only 2 cups and I don't have any more sweet potatoes in the house. So, let the math begin.

"1 cup sugar" - I don't think so. Just plain sweet potatoes are pretty sweet, so I'm leaving this out.

"2/3 cup margarine, melted and divided" - I'm leaving out the half that gets mixed in but keeping the half that goes in the topping. 1/3 x 2/3 = 2/9. I do not have a 2/9 cup measuring cup or a 1/9 cup measuring cup, but 2/9 is just slightly less than 2/8 which is 1/4. So I almost but not quite filled a 1/4-cup measuring cup. With walnut oil. (Yes, there are many reasons this recipe might not work!)

"2 eggs, slightly beaten" - 2 x 2/3 = 4/3 = not happening. I read somewhere that most recipes assume you are using extra large eggs. I have only large eggs, so I used the two smallest ones from the carton.

"1 tsp vanilla" - 1 x 2/3 = 2/3. My closest measuring spoon was 3/4, so I underfilled that slightly.

"1/2 cup milk" - 1/2 x 2/3 = 1/3. Easy!

"1/3 cup all-purpose flour" - I used almost 1/4 cup whole wheat pastry flour.

"1 cup firmly packed brown sugar" - Easy.

"1 cup chopped nuts, pecans" - last time I bought nuts I discovered it was cheaper to get halves than to get little pieces. That seemed odd, because I'd think the chopped ones would be cheaper because you could include all the broken parts. I figured I could chop them myself. So I measured out a bit more than 2/3 cup walnut halves, chopped them, remeasured them, didn't have enough, chopped a few more, had a little too much, and threw them all in anyway.

"1 cup flaked coconut" - easy. Except I probably used the wrong kind of coconut. I was probably supposed to use the sweetened moist kind but I used the unsweetened dehydrated kind.

"Combine sweet potatoes, sugar, 1/3 cup margarine, eggs, vanilla and milk. Mix well." - I combined the sweet potatoes, eggs, vanilla and milk.

"Spoon into a greased 1.5 quart casserole." - Easy: I used a 1-quart pie pan.

"Gradually add flour to remaining 1/3 cup of margarine. Stir until smooth, add remaining ingredients, (mixture will be crumbly). Sprinkle over casserole." - Easy.

"Bake at 325 degrees for 30-35 minutes." I set the oven for 325 but it was 350 when I put the casserole in. I set the timer for 25 minutes but didn't hear it go off. When I checked it, it was bubbling properly, but a little darker than I like at the edges, and the oven was 400 degrees. Smells good, though. And this doesn't seem like one of those picky recipes where you have to measure everything exactly.

It's for a potluck lunch tomorrow, and it's the sort of thing you can notice a bite taken out of, so I'll have to get back to you on whether it's any good. If it is, I'll try a better version later and give you a picture and nice recipe format and all that.
livingdeb: (Default)
I'm reading about teaching. I read a blog entry where someone was complaining about how stupid it was that they were forced to teach math with group learning and no practice and the kids were all confused. So the writer, who was planning to teach for only three years (as part of the Americorp program, I think), just ignored that and did what would work, but the people who wanted to be career teachers were afraid to disobey like that, so they just struggled along.

So I looked up the math textbooks in use for my local school district and found them in the library and thumbed through one.

It didn't have that problem, but it did have the same problem as the sociology text my students had when I was student teaching. Sociology is one of the most fascinating fields ever, though we don't yet know much. But there was almost no hint of that in the text. It was just a pile of terms and their definitions. The whole time I was teaching I was able to stomach using the text only once. For all the other lessons, I went back to materials that had made me think the topic was interesting and figured out a way to modify those for high school use. I slept only four hours on weeknights.

But hey, math textbooks are better, right? At the very least, they have a lot of problems in them, and all you have to do is make sure they are all solvable and that the answers in the back are all correct (because all texts are full of typos, right?).

Well, can you believe you can design a math book to be nothing but a pile of terms and their definitions? I looked closely at a unit on angles. Do they talk about the fascinating problem of measuring an angle? (Finding some sort of length to measure just doesn't work. You can't just use two points like you're used to, but you can use three points, so long as those equate to the right parts of a circle. Who would ever guess that?) Do they talk about how all triangles, no matter how ordinary or how wacky, have angles whose measures add up to the same number? No, it's all about what are complimentary angles and supplementary angles (I had actually forgotten those terms) and right angles, acute angles, scalene triangles. Bleh. It was hard for me to even remember that there was anything interesting about angles after looking at that chapter.

No sleep would be had trying to teach from that book.
livingdeb: (Default)
I almost never find opportunities to use serious math to help me solve problems in my real life. But today I joined a professional organization and that provided me with such an opportunity. Let's see if y'all get the same answer I do. Here's the situation:

If you join for one year, you pay full price. If you join for two years, you get ten percent off both years. If you join for three years, you get fifteen percent off all three years. Which deal is the best deal?

And let's throw in some simplifying assumptions. First, assume that you want to be in the organization indefinitely. Then assume that you have enough money right now to choose any of these offers, and that any extra money you don't spend now you will invest for later. Assume also that the current full price and options will never change. And add in any other obvious assumptions I'm forgetting about that will make the answer easier to calculate.

(My answer is in the comments.)
livingdeb: (Default)
Today I put away several things that are hard to put away properly such as:
* the gas and utilities bills (which I had to pay first)
* the extra battery I got for my pedometer (I had to find tape and find a place in the freezer--I'm taping it to the door behind the bag with the extra spices--because I heard these kinds of batteries run down just as fast whether they are in use or not if you leave them at room temperature)
* the free fluorescent bulb I got on Earth Day (remind me: I do not need any more light bulbs for the next five or fifty years and I do not have room to store more anyway)
* my pumpkin butter recipe (where does it go? Sides? Vegetables? Do I need to make a new Condiments section? If I did, should salad dressing go there, or can it stay in the Salads section?)
* my Annual Escrow Account Disclosure Statement (after analyzing it, see below)

I know some people can just go around cleaning up their house--whoosh, whoosh, whoosh--but if I have a pile of crap lying around, it's there for a reason.

**

I've heard you can get rid of escrow accounts, but I still have one. (This is where the bank collects a constant amount of money from you each month--in addition to your principal and interest--which it then uses to pay your taxes and insurance on time so they don't lose their collateral to Uncle Sam or Mother Nature.)

It seems all very straightforward, but escrow accounts are strange. For example, I think I've written before about the second-year weirdness. My payment increased much more than most rents increased because lenders have to predict that next year's taxes and insurance will be the same as this year's. But usually they're more. So at the end of the year, they are short by the difference.* So they can collect that difference from you in a single check at the end of the year or (at least sometimes) you can choose to pay it back over the next year in equal payments each month. The latter seems wiser.

* (minus the cushion they are allowed to add on)

But the new estimates are now higher, because now they are using the numbers for this year, not the first year. So your payment goes up to cover that, too. So your total payment goes up by twice the amount of the increase (or near to that, depending what the new allowable cushion is).

Last year my payment went down for the first time, which I also think I wrote about. And that's because my taxes and insurance went up by less that year than they had the year before, so the new shortage-catching-up part of my payment was lower than for the previous year: enough lower that my total payment ended up lower.

This year is even weirder. My taxes actually went down. Although the city estimated my property value to have increased over the year before, they reduced taxes per $1000 value by so much last year that my total taxes decreased. For some reason the city feels guilty charging people more taxes for increased property values even though we have a law that limits these increases to 10% a year for your own house (not houses you're renting out to others). Then they wonder why they don't have enough money to maintain services like they'd like.

Anyway, even though my insurance costs rose, they didn't rise as much as my taxes decreased. So I don't have to pay any catch-up money this year. Which means my monthly payment is going down again. Not only that, they are sending me a check for the overage. That is weird. I suspect that next year I will get another double-whammy increase like I did my second year.

(In case you're curious about the amounts involved, my catch-up amount last year was $10, down from $24 the previous year, and this year it's zero. This year my monthly payments will be $20 lower than last year. And the check I am getting is for $179. So these windfalls won't change my life, but they're mildly interesting.)
livingdeb: (Default)
I got my lab results from my annual physical check-up for this year (via a phone call). Everything is "normal" and I am "perfect." I forgot to worry about this and so did not feel a sense of relief. I am very appreciative, though, that I am lucky enough for these kinds of results to be typical and expected.

I did ask for a few specifics. All my numbers are within my recent historical range, but none are near the top. For example, my cholesterol has gone down from 200 to 187. As if I hadn't been eating at McDonald's for the couple of weeks preceding the tests.

**

My weight yesterday was down from two weeks ago, as if not eating out is working. But the difference could easily be attributable to other factors I don't understand, i.e., random.

**

My net worth went up this month, but it's only because the value of my house increased more than enough to make up for the plummeting value of my stocks. I use the average of the value assessed by the property taxing authority and the value I get from zillow.com. Of course, the former changes only once (twice?) a year, but the latter rose 9% in one month. Odd. As a result, my house is again making up 50% of my calculated net worth. I want it to make up only 1/3 of my net worth, with retirement savings making up 1/3 and other savings making up the final 1/3. My retirement savings was just as high as the equity in my house as late as last month. No more!

About half of my retirement savings is from my IRA and half from my pension plan. My IRA savings only recently surpassed my pension savings, and after all the stock plummeting, my IRA savings are still higher, so that's good.

**

I wrote down every purchase I made this month because after my big raise last year I still don't feel richer. I did not make any purchase I regret, with the possible exception of eating fast food alone five times, but since the total amount comes to about $7.50, the regrets are not financial. (Twice I supplemented my lunch with an extra taco, so on those days I only halfway ate out.)

I guess there's just been a lot of irregular spending. This month it was for tickets to Milwaukee (which I refuse to regret until the end of the trip) and air conditioning repairs. These are both things I have saved up for already. I probably should not include these savings in my net worth because in a way that money is already spent. Certainly already accounted for.

**

We used an average of 87.5 gallons per day since we got our new toilet, versus 99.5 gallons the previous year, for a savings of 12 gallons per day. So the new toilet really made a difference!

The new toilet uses 1.6 gallons per flush. If the old toilet used 6 gallons per flush, that implies we flush the toilet about 3 times a day. Um, no. Research shows that from 1982 to 1993, toilets required only 3.5 gallons to flush (I assume in the US). That implies 6 flushes per day. Maybe. I highly suspect more.

Maybe the new low-flow shower head that we installed at the same time actually lets more water out because it isn't clogged with minerals like the shower head it replaced.

**

Any things you check up on with measurements?
livingdeb: (Default)
I scored teacher certification tests. You know that cartoon where right in the middle of the mathematical proof, one of the steps is "And then a miracle occurred"? Well, I saw an awful lot of those today. It was bizarre.

People would start doing the algebra, and then they would get stuck. But many of them could figure out the answer without algebra, and they would just pretend like they had gotten far enough to have figured out the answer.

Some would say things like, "then, by using reasoning, you can see that the answer is ..." Their poor little future students. And we math people wonder how people could have such deep-seated math phobias. If only they would use reasoning...

There was one fabulous miracle paper, though. It began with the statement "Ran out of time." This statement was circled twice. Then the entire problem was done perfectly and concisely on the following lines.

Entry of the day: For drama and humor, read "Another sh***y week" on Chris-Picks, a Yahoo group. It's not very inaccessible, so I'm just going to copy the whole thing here. This is a weekly newsletter where Chris tells you a lot about tens of danceable events to attend plus a little about how her week has been, except in the rare occasions when her life is too crazy and so she doesn't have time to do the list. (Note: the first paragraph is the intro; it is not the funny part.)
Well, kiddos, it’s been another black week in terms of elderly mothercare, so there is no list this week. There seems to be a new crisis every other day. Why do I have the feeling this will not have a happy ending?

On the other hand, last weekend’s stay with her gave me plenty of material for a play, which I have already started writing. I’m taking copious notes, and finding humor (albeit rather dark) wherever I can. Believe me, an impacted bowel is not anything I would wish on anyone ever. It is a horribly, horribly painful experience, and the treatment is as bad as the condition itself. Yet…when six people commit a total of 58 combined man hours (in one 24 hour period) to one bowel movement, you know you’ve got material. When you celebrate with shouts of “The Eagle has landed! She shoots, she scores! Goooooaaaaaaaaaallllllllll! Mission Accomplished! Bingo! She ran it all the way! TOUCHDOWN!...” you know it’s been a long night. And when you congratulate yourself on going beyond the call of duty and then fall into paroxysms of laughter, repeating over and over “call of doody. Good one, har har,” then you know it’s waaaaaaaaaay past your bedtime. My daughter the nurse was there with me in the emergency room and we riffed on potty jokes for a long, long time (long enough to watch Shrek 2 three times on the emergency room TV). Too bad my mother couldn’t enjoy the humor. But it kept us going and we celebrated her successful outcome (another good one, yuk, yuk!) by eating breakfast tacos at Whataburger at 2:30 Monday morning.

So go out and have some fun, and say a little prayer of thanksgiving every time you take a dump. No shit. Really. I mean it.

Maybe I’ll be back next week with news you can actually use. In the meantime, I’m still trying to get caught up on my sleep and trying really hard to stop myself from answering the phone with, “Oh God, what now?”



See ya on the dance floor,

Chris
livingdeb: (Default)
I scored math teacher certification tests again today. This means you get to learn more pointers for taking tests.

Today's number one tip is that if you have a five-part question, you might want to try to answer more than one part. And if the second part looks too hard, at least take a look at parts three, four, and five, just in case.

Also, if you know what shape the graph should be, and you have calculated some points, but you can't figure out how to make that shape fit with those points, maybe you should do some more thinking. Calculating more points may help you see the shape better. Thinking more about what the shape should be may help you realize you were partly mistaken about the shape. Superimposing your notion of the shape near your notion of the points does not do a good job of convincing us that you know your stuff.

If you are graphing a function of a quadratic equation, it is most likely going to look quite different from the same function of plain old x.

And the big heart-breaker. If it says in all caps that you must put your answers on the answer sheet, do not write only this on your answer sheet: "Please see test booklet for graphs and calculations." We do not have any test booklets; we only have answer sheets. They probably have to incinerate the test booklets immediately for security reasons or something. (Thank goodness in the past ten years I've never had to read this until today.) It's bad enough when I have to read "Ran out of time," or "I have no idea how to approach this problem," or "I don't really want to teach math anyway" as the answer. I get very sad.

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