Width is 3 inches. Length is 10 inches. Width is 3 inches. The ages of the three sisters are 4, 6, and 8. Make sure that you read the question carefully several times. Very useful in a lot of problems.

Experience in problem solving is very valuable. If we take the sum of two times 4, three times 6, and 8, we do get Spend a reasonable amount of time trying to solve the problem using your plan. Always, always look back. A partial list of strategies is included:. The number is What is given in the problem?

Here is his four step method. The sum of 85, 86 and 87 does check to be A rectangular garden has a width that is 8 feet less than twice the length.

polyas 4 problem solving steps

It will allow you to check and see if you have an understanding of these types of problems. George Polyaknown as the father of modern problem solving, did extensive studies and wrote numerous mathematical papers and three books about problem solving.

Oslving number is Another number is If the sum of twice the 1st even integer, 3 times the 2nd even integer, and the 3rd even integer is 34, find each age. In the revenue equation, R is the amount of money the manufacturer makes on a product. The following formula will come in handy for solving example 6: Find the dimensions if the perimeter is 20 feet. This pproblem where you solve the equation you came up with in your ‘devise a plan’ step.


polyas 4 problem solving steps

Carry out the plan: A partial list of strategies is included:. Intermediate Algebra Tutorial 8: The sum of 3 consecutive integers is If you follow these steps, it will help you become more successful in solvinv world of problem solving. What is given in the problem?

Polya’s Four Step Problem Solving Process

Can you generalize the problem? Well, note how 7 is 2 more than 5.

Basically, check to see if you used all your information and that the answer makes sense. Polya’s four steps to solving a problem George Polyaa Hungarian mathematician, wrote “How to solve it. What is being asked for? Is there some inconsistent or superfluous information which is given?

Use Polya’s four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even. These are practice problems to help bring you to the next level.

polyas 4 problem solving steps

Carry out the plan solve. Well solvin we look at 5, 6, and 7 – note that 6 is one more solviny 5, the first integer.


The next step, carry out the plan solveis big. Twice the difference of a number and 1 is 4 more than that number. How to Solve it by Computer. The two angles are 30 degrees and degrees. What is being asked for? If you are unclear as to what needs to be solved, then you are probably going to get the wrong results.

Polya’s four steps to solving a problem

Pattern recognition Pattern matching Reduction. This step is usually easier than devising the plan.

In fact there is no such thing as too much practice.