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Section 1.5 Algebra 1 Book – Use a Problem Solving Plan
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How can you use a problem solving plan to solve a problem? READ THE PROBLEM, then… STEP 1What is the actual question? STEP 2What are the facts? STEP 3What strategies or operations will I use to solve the problem? STEP 4Does my answer make sense? Estimate Do a simpler problem Act it Out Draw a picture Make a chart or table Work backwards
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Applying the Process: Example #1 You run in a city where the short blocks on north-south streets are 0.1 mile long. The long blocks on east-west streets are 0.15 mile long. You will run 2 long blocks east, a number of short blocks south, 2 long blocks west, then back to your starting point. You want to run 2 miles. How many short blocks should you run?
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What is the actual question? How many short blocks should you run?
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What are the facts? short blocks – north/south – 0.1 mile long. long blocks – east/west – 0. 15 mile long. You run 2 long blocks east, then You run a number of short blocks south, then You run 2 long blocks west, then back to your starting point. 2 miles total
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What strategies or operations will I use to solve the problem?
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Does my answer make sense?
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Again! Example #2 You are designing the layout for a newspaper about teen issues. The newspaper will be 22 ½ inches wide. You plan to have 5 columns with ⅛ – inch gaps between them and ⅜ – inch margins on the left and right sides. How wide will each column be?
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What is the actual question? How wide will each column be?
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What are the facts? The newspaper will be 22 ½ inches wide. ⅜ – inch margins on the left and right sides 5 columns separated by ⅛ – inch gaps
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What strategies or operations will I use to solve the problem?
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Does my answer make sense?
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Last One – You Try! You are hiking. The total weight of your backpack and its contents is 13 ⅜ pounds. You want to carry no more than 15 pounds. How many extra water bottles can you add to your backpack If each bottle weighs ¾ pound? 1Question? 2Facts? 3Strategies? 4Make Sense?
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Formulas & Problem Solving
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Choosing a Formula Match each statement with it’s formula: 1.A store buys a baseball cap for $5 and sells it for $20. What is the profit? 2.A car travels at an average speed of 55 miles per hour for 2.5 hours. How far did the car travel? 3.The temperature is 68 ° F. Which temperature in degrees Celsius? A) C = 5/9(F – 32)B) I = Prt C) d = rtD) P = I – E
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Applying Formulas to Problem Solving A runner ran at a rate of 0.15 mile per minute for 40 minutes. The next day, the runner ran at a rate of 0.16 mile per minute for 50 minutes. How far did the runner run altogether?
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Applying Formulas to Problem Solving What is the interest on $1200 invested for 2 years in an account that earns simple interest at a rate of 5% per year? If you decided to invest $1500 instead, how much more money would you earn?
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HOMEWORK Workbook – page 10 #1 – 8 ALL
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