If we let x represent the first EVEN integer, how would we represent the second consecutive even integer in terms of x? The perimeter of a rectangle with width of 3 inches and length of 10 inches does come out to be If your answer does check out, make sure that you write your final answer with the correct labeling. The number is Contrary to that belief, it can be a learned trade. But do return to try again. 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.

How much would you save if you bought it at this sale? Carry out the plan: Look back check and interpret. Share buttons are a little bit lower. Guess, test, and revise.

Can you generalize the problem? Well, note how 8 is 4 more than 4.

If you need a review on these translations, you can go back to Tutorial 2: Solve the word problem. Name as you wish to be. Keep in mind that x is representing an ODD number and that the next odd number is ssolving 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. Carry out the plan solve.


polyas four step method for problem solving

On the other side of the index card, write: In essence, decide how you are going to work on the problem. The student is expected to: If we add 90 and 87 a number 3 less than 90 we do get Determine if the information available is enough, ie.

Essential for mathematics According to NCTM, one of the processes through which mathematics should be.

Implementing Polya’s four steps.

In a business related problem, the cost equation, C is the cost of manufacturing a product. The following formula will come in handy for solving example 6: The number is Note that since the angles make up a straight line, they are supplementary to each other.

polyas four step method for problem solving

If you are not successful, go back to step 2. At the link you will find the answer as well as any steps that went into finding that answer. Note that a common misconception is that because we want an odd number that we foue not be adding a 2 which is an even number.

Polya’s Four Step Problem Solving Process

Does your answer satisfy the statement of the problem? Need Extra Help on these Topics? Note that 6 is two more than 4, the first even integer. Read the problem over carefully and ask yourself: In fact there is no such thing as too much practice.


The three consecutive integers are 85, 86, and If you take twice the difference of 6 and 1, that is the same as 4 more than 6, so this does check. Very useful in a lot of problems. And what about the third consecutive odd integer?

A rectangular garden has a width sep is 8 feet less than twice the length. Some people think that you either can do it or you can’t. Make a chart or table.

Well, note how 7 is 2 more than 5.

polyas four step method for problem solving

Algebraic Expressions and Tutorial 5: For example, 5, 7, and 9 are three consecutive odd integers.