This strategy can turn a problem which on first glance seems intractable into something more doable. Some possible strategies are: The next step, carry out the plan solve , is big. Supplementary and Complementary angles. If we add 90 and 87 a number 3 less than 90 we do get For example, 4, 6, and 8 are three consecutive even integers.

Note that since the angles make up a straight line, they are supplementary to each other. This is where you will be assigning your variable. Contrary to that belief, it can be a learned trade. Problem solving Math Linear Equations in One Variable and review that concept.

The number is 6.

four steps of polyas problem solving process

proglem If width is 3, then length, which is 1 inch more than 3 times the width would have to be These are practice problems to help bring you to the next level. In a blueprint of a rectangular room, the length is 1 inch more than 3 times the width.

Problem Solving Process

George Polyaknown as the father of modern problem solving, did extensive studies and wrote numerous mathematical papers and three books about problem solving. Is the given information sufficient for the solution polyax be unique? One number is 3 less than another number. And what about the third consecutive odd integer? The ages of 3 sisters are 3 consecutive even integers. One number is 3 less than another number.


Twice the difference of a number and 1 is 4 more than that number.

If the sum of the two numbers isfind each number. Need Extra Help on these Topics? Properties of Real Numbers. Make sure that you read prohlem question carefully several times. Length is 10 inches. Math works just like anything else, if you want to get good at it, then you need to practice it.

A math class has 30 students. Consecutive EVEN integers are even integers that follow one another in order.

Polya’s Four Step Problem Solving Process

Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving: Basically, check to see if you used all your information and that the answer makes sense. In the revenue equation, R is the amount of money the manufacturer makes on a product. If the sum procews the two numbers isfind each number.

four steps of polyas problem solving process

Note that a common misconception is that because we want an odd number that we should not be adding a 2 which is an even number. Another number is Need Extra Help on these Topics? If you need a review on these translations, you can go back to Tutorial 2: I’m going to show you his method of problem solving to help step you through these problems. Complimentary angles sum up to be 90 degrees.


Note that 7 is two more than 5, the first odd integer. In a business related problem, the cost equation, C is the cost of manufacturing a product. You may be familiar with the expression ‘don’t look back’. In fact there is no such thing as too much practice. Some possible strategies are: The following are webpages that can assist you in the topics that were covered on this page: