Transcript EPSE
E.P.S.E Problem Solving Model •Explore •Plan •Solve •Examine E.P.S.E Problem Solving Model Explore – Fact Finding. 1)Read the whole problem carefully. Reread if necessary. 2)What facts do you know? (List them.) 3)What do you need to find out? (Write Plan – How will I solve this problem? the question.) 1)Explain what strategy or strategies you will use to solve the problem without using numbers or number words. 2)Estimate when appropriate using your strategy. (You may use numbers here.) Solve – Find the answer. Examine – Show the problem is 1)Use your plan to find the answer. 2)Show all your work. 3)Rewrite the question(s) using the answer. (As a sentence.) 4)Circle the answer sentence. reasonable. 1)Did you answer the right question(s)? 2)Does my answer make sense? · Compare the estimate to your EXAMPLE!! answer. · Reverse the operation(s) / Solve Backwards… · Use common sense! Explore – Fact Finding 1. Read the whole problem carefully. Reread if necessary. 2. What facts do you know? (List them.) 3. What do you need to find out? (Write the question.) Plan – How will I solve this problem? 1. Explain what strategy or strategies you will use to solve the problem without using numbers or number words. 2. Estimate when appropriate using your strategy. (You may use numbers here.) Strategies • • • • • • • • Find a PatternExample Make a TableExample Work BackwardsExample Guess and CheckExample Draw a PictureExample Make a ListExample Write a Number SentenceExample Use Logical Reasoning Solve – Find the answer 1. Use your plan to find the answer. 2. Show all your work. 3. Rewrite the question (as a sentence.) using the answer. 4. Circle the answer in the sentence. Examine – show the problem is reasonable 1. Did you answer the right question(s)? 2. Does my answer make sense? •Compare the estimate to your answer •reverse the operation(s)/solve backwards •use common sense! E.P.S.E Problem Solving Model • Now let’s practice!! • Take a sheet or use spiral for notes • Draw 4 quadrants Like this E P S E • Use the EPSE model to solve the following word problem: The Farells want to buy a VCR that costs $460. They plan to make a down payment of $100 and pay the rest in eight equal payments. What will be the amount of each payment? Explore Plan Facts: VCR cost $460; make down payment of $100; pay rest in 8 equal payments Need to find: What will be the amount of each payment? Solve Strategy: Subtract down payment from the cost; then divide into equal payments Estimate: (when appropriate) ($500 – $100) ÷ 8 = $50 Examine Show work: 460 – 100 = 360 360 ÷ 8 = 45 Word sentence: The amount of each payment will be $45. Did I answer the right question? yes Compare actual answer & estimate Actual: $45 Estimate: $50 Does my answer make sense? Yes, because $45 x 8 = $360 and $360 + $100 = $460 and that’s how much the VCR cost. Class Work/Homework Pg. 41 #1-21 all, Brain Game #5, 8, 9, 15, 21 You must set up the 4 step problem solving grid on your paper and select a different strategy to solve each of the problem.