The first step of Polya’s Process is to Understand the Problem. 90 must be the correct answer. George Polya was a mathematician in the 1940s. look for a pattern. Our plan involved the sub-goal of finding out how many cupcakes were made total. In this lesson, we will discuss each step of the Polya process while working through the solution to a problem. This Four Step Math Problem Solving Method Lesson Plan is suitable for 1st - 3rd Grade. (Guessing is OK.) 6. The Always Principle: 4. Polya's 4-Step Process George Polya was a mathematician in the 1940s. Some Basic Mathematical Principles to Keep in Mind When Problem Solving: 1. 1 x 12 = 12, and 3 x 12 = 36, so what we really have is (12 + 36) – 5 = number eaten. We could: In our example, we need a sub-goal of figuring out the actual total number of cupcakes made before we can determine how many were left over. 2. Guess and test. We could write an equation to show what is unknown and how to find the solution: (1 dozen + 3 dozen) – 5 = number eaten. This is where math becomes a creative endeavor (and where it becomes so much fun). Carry Out Your Plan Just do it! Would you like to get a custom essay? Step 1 – Understand the problemOkay, so we have 10 people saying hello, but they don’t have to say hello to themselves, only to the 9 other people. The third step in the process is the next logical step: Carry Out the Plan. Now that we understand the problem, we have to Devise a Plan to solve the problem. 10 x 9 = 90 hellos said. 3. Look Back This means to review your work to double check your answer. Describe the steps in Polya’s 4-Step Process for Problem Solving, Explain the importance of having a plan to solve problems. How many cupcakes were eaten? Educational research suggests that the process of creating and solving statistical problems which interact with real data is best accomplished when the following four steps are followed: Four-Step Statistical Process: 1. 4. If we put the people in a straight line and then count them saying hello to each other one at a time, we will again see that the final tally is 90 hellos. Solving equations using algebra is really no different. Guess and check. Good luck! + 5 = 7. I need to know how many times the word ‘hello’ is said. Carefully read the problem. The remaining ten rows follow the same pattern. When using this model, children should be given flexibility to use a strategy of their choice or creation during the make a plan and carry out a plan section. 5. SMARTboard lesson with four steps to solving a math word problem suing UPSA: understand, pick a strategy, solve, and answer and check. Remembering that they do not have to say hello to themselves may help you see why the answer can’t be 100. Some of the possible strategies will be discusse… We Will Write a Custom Essay SpecificallyFor You For Only $13.90/page! The final step in the process is very important, but many students skip it, feeling like they have an answer so they can move on now. Following this lesson, you should have the ability to: Copyright 2018 - Book Store WordPress Theme. Obviously, we would need the prior knowledge that 1 dozen equals 12. write a number sentence. use actions (operations) such as add, subtract, multiply, divide. 26 page notebook file with teacher notes on animated pages, CCSS mathematical practices addressed, and examples of each step. All we really need to know is that we are being asked, ‘How many cupcakes are left of the total that were made?’ So, we understand the problem. We just needed to figure out which number should go into the box to make it a true statement. At the end of the party there were only 5 cupcakes left. She made 1 dozen blue cupcakes and 3 dozen red cupcakes. The final step is to Look Back, which really means to check your work. She invited 20 women and 15 men. If I draw the diagram as a circle with 10 points (representing each of the 10 people), I can visualize each saying hello. That means that the number of cupcakes eaten is 43. If you use these four steps when yo… To find out, we wrote an equation that would resolve the sub-goal while working toward the main goal. Total = 6 + 5 + 4 + 3 + 2 + 1 = 21 handshakes. Problem solving can be a problem. Solve a simpler version of the problem. 1. work a simpler problem. Some ways to tell if you really understand what is being asked is to: In our example, we can understand the problem by realizing that we don’t need the information about the gender of the guests or the color of the cupcakes – that is irrelevant. Your problem may be modest; but if … These four steps can be summarized as follows: 1. Clearly, we need to replace the question mark with "2": 2 + 5 = 7. use or draw a picture. How many times is the word ‘Hello’ said?