How To Problem Solve In Math

How To Problem Solve In Math-52
Today, I'm going to tell you about my simple 5-step method that will help you solve all your math problems—including those pesky word problems. Your cat, on the other hand, does not love your dog and therefore finds it amusing to hide his toys.In particular, we're going to talk about how to turn a word problem into an algebraic equation and then solve it.. Being quite clever, you suspect that the cat is the culprit, so you begin to monitor his favorite hiding spot: the pile of towels next to his bed.If the phrase "word problem" sends a shiver down your spine, you're not alone.

Today, I'm going to tell you about my simple 5-step method that will help you solve all your math problems—including those pesky word problems. Your cat, on the other hand, does not love your dog and therefore finds it amusing to hide his toys.In particular, we're going to talk about how to turn a word problem into an algebraic equation and then solve it.. Being quite clever, you suspect that the cat is the culprit, so you begin to monitor his favorite hiding spot: the pile of towels next to his bed.If the phrase "word problem" sends a shiver down your spine, you're not alone.

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In our problem, we should ask ourselves: Can we actually build something that will discern the numer of hidden dog toys?

Sure, all we need to do is put the cat's pile of towels on a smart scale that sends its weight to your computer.

But, believe it or not, these problems usually aren't any harder to solve than non-word problems—they just look very, very different.

And they require a slightly different mindset to solve.

Slow down and take a minute to think about your result.

The fourth step in the problem solving process is closely related to the first.This step will often entail going through the procedure outlined in the How to Solve an Equation episode.Our goal is to solve for the total number of dog toys on the scale, N_toys.Of course, once you get good, you won't actually think about doing each step—they'll just happen.But while you're learning, it's best to be deliberate about things and to actually think your way through each step.Whenever the scale senses a weight increase, it can tell your computer that another toy has been hidden.Your computer can then use some as-yet-unknown equation to figure out exactly how many toys are hidden.The difference between these two weights must be equal to the combined weight of all the dog toys, W_toys: But we don’t actually want to know the weight of the toys, we want to know the number of toys. Well, if we know the total weight of all the toys, W_toys, and we divide that by the weight of a single toy, W_toy (assuming they're all the same weight), we get the total number of toys, Ntoys: But how did we know the values of W_towels and W_toy?We must have been clever enough to measure them and write them down before we put the towels on our scale. The third step in solving our word problem—or any word problem—is to solve for the variable you’re interested in.Good luck in all your future problem solving endeavors!Okay, that's all the math we have time for today. And remember to become a fan of the Math Dude on Facebook where you’ll find lots of great math posted throughout the week. Until next time, this is Jason Marshall with The Math Dude’s Quick and Dirty Tips to Make Math Easier.

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