Use Polya’s four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even. Length is 10 inches. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument. How to Solve It. You will find choosing a strategy increasingly easy. I hope this post helps.

Note that 6 is two more than 4, the first even integer. That means that you should take some of the assumptions and turn them on their heads. Ask yourself possibly dumb questions: From a quick look around, I have seen that there are numerous sites that mention the four step method but not that many that actually apply it to a problem. By using this site, you agree to the Terms of Use and Privacy Policy. Look back check and interpret.

Keep in mind that x is representing an ODD number and that the next odd number is 2 away, just like 7 is 2 away form 5, so we need to add 2 to the first odd number to get to the second consecutive odd number.

You can learn more about this at this awesome post by professor Tao. Look back check and interpret. The following are webpages that can assist you in the topics that were covered on this page: Try now to think what you can do to make princippes work.


These are practice problems to help bring you to the next level. Setting up an equation, drawing a diagram, and prob,em a chart are all ways that you can go about solving your problem. If the tax rate is 8. If the problem seems unapproachable, change it: Lastly, here comes what we want to prove.

Applying Polya’s principles to problem solving – R, Hilbert’s Hotel

This could also be a key property. For example, what if my function is not continuous but is non-negative and has an integral of zero? And what about the third consecutive integer. Did I do a mistake somewhere?

Applying Polya’s principles to problem solving

Yet students are often stymied in their efforts to solve it, simply because they don’t understand it fully, or even in part. If you take twice the difference of 6 and 1, that is the same as 4 more than 6, so this does check. Again, note what went wrong and then priniples with another one.

polyas problem solving principles

Supplementary and Complementary angles. Perhaps we can change the hypothesis a little bit, make it weaker and see if the result still holds. Note that since the angles make up a right angle, they are complementary to each other. Asking and then answering those questions will surely ignite an idea in your head. Consecutive EVEN integers are even integers that follow one another in order. Note that 7 is two more than 5, the first odd integer.


If the sum of the two numbers isfind each number.

polyas problem solving principles

If we let x represent the first integer, how would we represent the second consecutive integer in terms of x? Do prooblem need to add something new to the problem? Well, note how 9 is 4 more than 5. The next step, carry out the plan solveis big.

When you devise a plan translatepolya come up with a way to solve the problem. Think what happens if you surrender the game: Some people think that you either can do it or you can’t.

Most of the time, you will have to combine different ideas from the things you know in order to come up with a plan.

How to Solve It – Wikipedia

Take a good long look at it. To find out more, including how to control cookies, see here: Some combinations will not lead to anything useful. Well, note how 7 is 2 more than 5.