The math you need in your kitchen

real-world-kitchen-math

I’ve got a bachelor’s degree in advanced math, and a 12-year-old daughter who hates anything to do with the subject.

I’m an unschooling mama who loves to do math puzzles and logic problems for fun.

I’m not sure if that combination makes me an expert or just crazy, but because of it, I agreed to take part in the iHomeschool Network’s “5 days of…” series this week with a look at 5 days of real-world math.

Today, we’ll look at three types of math you need in your kitchen.

Fractions galore: Measuring cups, recipe adaptations and serving sizes

In some ways, this is the most straightforward “kitchen math” most people do – multiplying and dividing and dealing with fractions.

Take measuring cups. If you’ve just dirtied the half-cup measure with oil and you need another half-cup of flour, you can fill your quarter-cup measure twice. Most of us do this without even thinking, but it’s an important skill to talk about with your family.

My daughter is an incredible example of this. She had no idea as of six month ago that two fourths were the same as one half. Or, if she did in theory, she had no idea that it worked when cooking!

The same is true for adapting recipes by halving or doubling. If a recipe calls for four eggs to make 10 of something, and you only want to make 5, most of us know that we use half the quantity of each ingredient to make half as much. But again, for some people, the idea that halving each part makes half of the whole is fine in concept but not in practice – or vice versa; we can do it, but we don’t understand how it works!

Serving sizes are another case of “kitchen multiplication.” If my can of tuna says it has 2.5 servings in it, and each serving has 90 calories, but I eat the whole can (because, uh, doesn’t everyone?), I need to know that I’m having two 90-calorie servings and one half-of-90-calorie, or 45-calorie, serving, making 225 calories.

Where to start: I highly encourage the use of measuring cups as toys. Please don’t make your children sit down and pour things to make a cup or a half-cup or a third-cup or whatever. Give them a big box of rice and a bunch of measuring cups, and they’ll figure it out for themselves. Honest. Trust your kids.

Halving and doubling recipes is another great “lesson” in real-world math. But before you can do that, your children have to understand how to read a recipe, including how to tell how much of the food you’ll have as the finished product.

Once you’ve covered those basics, pick something they REALLY like – like cookies – and work with them to make twice as many as a treat. You’ll have more-than-willing math helpers then!

Time and temperature: Manning (or womanning?) the oven

I watched an episode of Phineas and Ferb last week in which, while the main female character was cooking in a hurry, she realized she didn’t have three hours to cook something at 450 degrees. So, her friend figured, they could just cook it for 5 minutes at 16,200 degrees – she called it “simple math!”

Even my math-loathing daughter was able to see that for the fallacy it was!

Cooking is a great chance to make sure you really understand time and temperature. 

First of all, if you put your favorite frozen meal in the microwave for the 5 minutes and 30 seconds it says on the package and it’s a melted, dry heap, you have to know to cook it less the next time. But if you go too far and cook it for 3 minutes and 30 seconds and the middle is cold, then you know you have to go back the other direction!

That’s intuitive for some people – but not everyone.

The same goes with temperature. If you put a pizza in your oven and the middle is still cold while the crust is burnt, you have to understand that your temperature is too high.

That’s hard to “get” – part of it’s cold; how can it be too hot, right?

You really have to understand how heat works – and that a lower temperature, consistently over time, can make something more “cooked” than a higher temperature inconsistently or for a short period!

Where to start: Get your kids used to using the stove or the microwave. Have them set timers – gosh, my daughter loves to set a timer – and see how long it takes water to boil in different-sized pans.

Have them experiment with making their favorite microwaved food using 30-second intervals around the suggested cooking time on the package (say, 4 minutes, 4 minutes 30 seconds and 5 minutes, or something like that) and see which way they like it best.

The more practical experience you have with cooking times and temperatures, the more you’ll intuitively be able to adapt. Because I don’t bake much, I still have to really think about how to make my cookies come out the way I want. But man, I can time my various pots on top of the stove to boil at the same time like nobody’s business!

Unit conversions: Quarts, liters, gallons, cups, teaspoons and all that jazz

I don’t know about you, but I do not have the faintest idea off the top of my head how many pints equal a gallon, or how many tablespoons make a cup, and whether that whole wet-or-dry-measure thing factors in and how.

That said, I know that I don’t know – so I make sure that I’m reading recipes carefully and using measuring cups marked appropriately if at all possible. (I threw out the measuring cup that was only in metric some time ago!) And when I don’t know, I look it up.

The hardest thing about recipe units is that it’s SO easy to get confused, and especially with baking, a small difference can have a large effect on the final product!

Where to start: Hang on to this website of equivalents and measures from Exploratorium’s The Accidental Scientist. Print it, laminate it, give a copy to your kids when they move out. That and a good 5-ingredient cookbook will take you far in the kitchen!

This is one of those things that, if you do it often enough, you’ll probably start to remember. I did finally learn that three teaspoons is a tablespoon, for instance.

The best thing here is, if you have young children, or older children who are just beginning to cook, talk to them about the many different units of measure. I bet there’s nothing you do day-to-day that involves more DIFFERENT measurements than cooking. And if you aren’t expecting it, it can get confusing real quick!

Knowing the conversions isn’t the biggest deal – you can look that up. But understanding in which cases you will need to look something up is what really matters.

The rest of the series

Sunday: When numbers matter: A look at math in the real world (introduction)
Monday: The math you need at the grocery store
Today: The math you need in your kitchen
Wednesday: The math you need to manage your money
Thursday: The math you need to play sports and do other fun stuff (yes, really!)
Friday: Real-world math resources you’ll love

You can read all the posts here!

More five-day fun

This post is part of the iHomeschool Network’s summer “Five Days Of…” series. Click the collage below to see how some of my fellow bloggers are spending their “five days,” and to learn more about our series sponsor, the BEECH Retreat bloggers’ conference!


The math you need at the grocery store

real-world-grocery-math

I’ve got a bachelor’s degree in advanced math, and a 12-year-old daughter who hates anything to do with the subject.

I’m an unschooling mama who loves to do math puzzles and logic problems for fun.

I’m not sure if that combination makes me an expert or just crazy, but because of it, I agreed to take part in the iHomeschool Network’s “5 days of…” series this week with a look at 5 days of real-world math.

Today, we kick off the series by looking at three types of math you need at the grocery store. 

Unit price: A fancy way to say “Which one is the better buy?”

This is probably the most important real-world application of multiplication and division (and fractions) that I know. If you can get a 2-liter bottle of soda for $1.50 or a 1.5-liter bottle of soda for $1, which would you choose?

You need to know how much you’re paying per liter, or per unit. The 2-liter bottle is costing you 75 cents per liter (in my head, I just half the price to know how much one of the two liters costs). The 1.5-liter bottle is costing you 66 cents (about) per liter, so it’s the better buy. (In my head, I figure 1.5 liters is the same as three half-liters; divide the full price by 3 and you get 33 cents per half-liter, and two half-liters is a whole liter and that means two sets of 33 cents is 66 cents).

Consumers are famous for getting unit price “wrong.” Our grocery store kindly includes it on its signs – BUT only on the full-price signs, not the ones where things are on sale, and when you have coupons, of course those aren’t factored in either.

Many people tend to assume “bigger is better.” I call it the Costco or Sam’s Club factor – surely it’s cheaper to buy 80 rolls of toilet paper than to buy 8 sets of 10 rolls, right? Sometimes, but not always.

This is an area in which mental math is really important. If you can walk through the process I followed above to calculate the per-liter price of soda, YOU ARE DOING WELL, MATH-WISE.

Where to start: Take this step by step. If you’re just starting out, as a family, look to see if your store notes unit price at all and explain that it’s a way to be able to compare the relative value of different sizes of an item!

Then, see if you can “work out” how it’s arrived at for a particularly simple item. Find a bottle of 200 Advil and notice that the cost per unit is usually given in hundreds for those, if the store calculates it. (Why, I have no idea, but there you go.) You and your child should be able to see that the cost-per-unit (in this case, per hundred) is half the cost of the whole bottle.

From there, go on to actual real-world cases. If you want to drive me crazy for hours, set me to this in the toilet-paper or paper-towel aisle where you have to factor in regular rolls with mega rolls with jumbo rolls with Godzilla rolls or whatever they’re calling them now. In anyone else’s case, I’d suggest starting with something more reasonable, like figuring out whether the small, medium or large container of peanut butter in your favorite brand offers the best buy.

Dealing with those annoying “percent off” signs

Ah, percentages, the favorite thing of no one ever. Grocery stores (and other retail spots) often use percent-off signs to make things look like a better deal than they really are. That means it’s especially important to understand how to figure them out.

Any time you’re working with percentages, work from whatever 10 percent is. If I see a $45.00 item that’s 30 percent off, I first go, “OK, 10 percent is just dropping a digit, so that’s $4.50. 30 percent is three sets of 10 percent, so that’s $4.50 times 3, or $13.50 off. That means I’ll pay $31.50.”

30 percent off can sound like a good deal – but it really depends on the original price of the item. On a $2 purchase, you’ll save 60 cents, so if you have a choice between the 30-percent-off $2 item and another brand of the same thing with a $1 off coupon, TAKE THE DOLLAR!

Where to start: Skip all the garbage about ratios and proportions and percentages. That stuff is COMPLICATED. All you really need to know is that 10 percent of something is one-tenth of it, and, like I said, even that’s more than you need to know if you can just accept the whole “drop the last digit” thing.

Start by figuring out what 10 percent of the price of anything you like is. From there, explore the idea that, just like 20 is 10+10, 20 percent of any number is the same thing as 10 percent of it, times 2. And then there’s the idea that 5 percent is HALF of whatever 10 percent was!

Finally, put this into practice. The case I always work through is that our grocery store offers you the option of a free turkey (up to $20) or 5% off your next grocery order around Thanksgiving. Our average grocery order is $340 every two weeks, so 10 percent of that would be $34 and 5 percent would be half of that, or $17. If I can use the turkey, I “get more” that way. When they offer a 10% certificate, though, the situation changes, and suddenly I’m better with that than the turkey!

Volume: Or, how do you fit all that in the cart?

I am not kidding when I say volume is a major part of our grocery trip. You do not want to be that family with four people and two carts. We’ve been there and it stinks.

This is where volume, area and general geometry come into play. Square boxes take up less room stacked neatly (like building blocks) than thrown into the cart with a lot of odd-shaped air pockets between them.

Organizing the cart as we go keeps us from going home with smushed bananas, and it makes bagging easier for either the checkout bagger or my husband, who usually gets that job.

We have fewer bags to carry into the house when everything is well-packed, and the pantry is easier to organize for the same reason.

You might laugh, but that’s important math. In a very practical sense, it saves us time – and probably money.

Where to start: Before you worry about organizing your cart as you go, hit the pantry or a cupboard. See if you can more easily see what you have, and get it all to fit, when things are arranged and fitted together by shape and size.

If you really want to freak yourself and your kids out, have a challenge to see how LITTLE room on the shelf you can take up with the items that previously filled it.

Even if you end up rearranging it all later, it’s a great example of volume in action! Then, next time you go to the store, see if you can get a bit more into the cart without losing the milk off the top in the last aisle!

The rest of the series

Sunday: When numbers matter: A look at math in the real world (introduction)
Today: The math you need at the grocery store
Tuesday: The math you need in your kitchen
Wednesday: The math you need to manage your money
Thursday: The math you need to play sports and do other fun stuff (yes, really!)
Friday: Real-world math resources you’ll love

You can read all the posts here!

More five-day fun

This post is part of the iHomeschool Network’s summer “Five Days Of…” series. Click the collage below to see how some of my fellow bloggers are spending their “five days,” and to learn more about our series sponsor, the BEECH Retreat bloggers’ conference!