# PROBLEM SOLVING WITH GEORGE POLYA PPT

Use Polya’s four step process to solve word problems involving numbers, percents, rectangles, supplementary angles, complementary angles, consecutive integers, and breaking even. Understand the problem See 2. On the other side of the index card, write: 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. If you follow these steps, it will help you become more successful in the world of problem solving. If you need help solving them, by all means, go back to Tutorial 7: Need Extra Help on these Topics? Published by Tyler Perkins Modified over 3 years ago. You will translate them just like we did in Tutorial 2: In order to show an understanding of the problem, you, of course, need to read the problem carefully. If we take the sum of two times 4, three times 6, and 8, we do get Well, note how 9 is 4 more than 5. Construct a Table or Organized List: The value of acting it out becomes clearer when the problems are more challenging.

Plan The plan is usually called a strategy. If you need help solving them, by all means, go back to Tutorial 7: The number is 6. Make sure that you read the question carefully several times. Stress that there is no need to draw detailed pictures. Write an Open Sentence: When repeated lroblem are necessary, using what has been learned from earlier guesses should help make each subsequent guess better and better. Supplementary and Complementary angles.

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Encourage them to draw only what is essential to tell about the problem. Well, note how 9 is 4 more than 5. Understand the problem See 2. Can you give an estimate?

If we let x represent the first ODD integer, how would we represent the second consecutive odd integer in terms of x? The sum of 85, 86 and 87 does check to be Devise a plan Plan 3. The value wifh acting it out becomes clearer when the problems are more challenging.

If width is 3, then length, which is 1 inch more than 3 times the width would have to be Well, note how 8 is 4 more than 4. Can you restate the problem in your own words? Note that since the angles make up a right angle, they are complementary to each other. Contrary to polyaa belief, it can be a learned trade.

George Polyaknown as the father of modern problem solving, did extensive studies problm wrote numerous mathematical papers and three books about problem solving. Cooperative learning teams can be very beneficial at this point. See Many students are overwhelmed just by reading a problem. The number is 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.

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When you devise a plan translateyou come up with a way to solve the problem. It will allow you to check and see if you have an understanding of these types of problems. Often students will construct a table, then use it to look for a pattern. A lot of numeric types of word problems revolve around translating English statements into mathematical ones. For this reason, a repertoire of strategies is useful.

When x is 5 the cost and the revenue both equal Supplementary angles sum up to be degrees.

## Problem Solving Strategies

At this point group discussion is beneficial. You may be familiar with the expression ‘don’t look back’. Sometimes the problem lies in understanding the problem. Note that 6 is two more than 4, the first even integer. 