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0-1: Plan for Problem Solving. 0-1: Plan for Problem Solving. Four-Step Problem-Solving Plan Understand the problem Identify what information is given Identify what you need to find Plan the solution Choose a variable to represent one of the unknown numbers in the problem
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0-1: Plan for Problem Solving • Four-Step Problem-Solving Plan • Understand the problem • Identify what information is given • Identify what you need to find • Plan the solution • Choose a variable to represent one of the unknown numbers in the problem • Use the variable to write an expression for the other unspecified numbers in the problem • Solve the problem • Use the strategy you chose in step 2 • Check the solution • Does your answer make sense? • Does it fit the information in the problem?
0-1: Plan for Problem Solving • Example 1 • Ling’s hallway is 10 ft long by 4 ft wide. He paid $200 to tile his hallway floor. How much did Ling pay per square foot for the tile? • (Discussion in class) • The tile cost is $5 per square foot
0-1: Plan for Problem Solving • Sometimes you can provide an estimated answer instead • Example 2 • Fabric costs $5.15 per yard. The drama department needs 18 yards of the fabric for their new play. About how much should they expect to pay. • (Discussion in class) • About $100
1) The city Convention Center has hired James to paint a mural on one of the outside walls. The wall is 30 feet long and 15 feet tall. He is being paid $1350 for the project. How much is James being paid per square foot of the mural? • $3/ft2 • $4.50/ft2 • $2/ft2 • $6/ft2
2) Alicia needs to waterproof her house’s back deck, which is 18 feet by 5 feet. The waterproof coating costs $6 for a can that covers 30 square feet. How much will the project cost her in total? • $24 • $12 • $6 • $18
3) Roberto’s scooter traveled 746 miles before needing fuel. If he started with 4 gallons of fuel inthe tank, describe the scooter’s gas mileage. • 193 mi/gal • 172.5 mi/gal • 162 mi/gal • 186.5 mi/gal
4) While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103limes. Approximately how much fruit did the family pick in total that day? • 250 • 150 • 200 • 300
Janna rented a moving truck for 3 days. It cost her $95.25 per day, but she had a coupon for $10 off perday. What was the final cost of using the truck? • $275.75 • $300.25 • $225.50 • $255.75
0-1: Plan for Problem Solving • Assignment • Page P6 • Problems 1 – 5 (odd)