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Published byElfrieda Lamb Modified over 9 years ago
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Problem Solving Strategy SWBAT solve multistep problems
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In your groups discuss how you would go about solving the following problem Eva has read 300 pages of a 652 page book. If she reads 22 pages each day from now on, in how many days will she finish the book?
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Read Visualize the problem List the facts –652 page book –She’s read 300 pages –She’ll read 22 pages a day What is the problem asking? –Question: How many days to finish the book?
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Plan Find an equation for each step: –How many pages does she have left? 652-300 = p –How many days will it take to finish? P ÷ 22 = d
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Solve Evaluate the equations –652-300 = p –P = 352 Evaluate –P ÷ 22 = d –352 ÷ 22 = d –D = 16 It’ll take her 16 days to finish the book
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Check Use inverse operations to check your problem –16 days time 22 pages –352 pages –352 pages plus 300 pages –652 pages –It checks out!
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Follow Along Mrs. Lopez bough 2 lbs of apples at $1.09 a pound, 3 lbs of oranges at $.89 a pound, and 3 lbs of bananas at $.39 a pound. How much did the fruit cost her? –Read –Plan –Solve –Check
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Try in your groups Dry cat food comes in regular and jumbo sizes. The 8 oz regular size costs $.96. The 12 oz jumbo size costs $1.35. Which is the better buy? –$.96 ÷ 8 oz = $.12 per oz –$1.35 ÷ 12 oz = $.1125 per oz –Jumbo size is a better deal
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Try in your groups Judy’s school has a 0.5 km track. One day at practice she ran around the track 9 times and then ran another 1 km in sprints. How far did she run that day? –9 laps times 0.5 km = 4.5 km –4.5 km plus 1 km = 5.5 km
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Try in your groups An airplane travels 2044 miles in 3.5 hours. Another travels 3146 miles in 5.2 hours. Which airplane is faster? By how much? Remember d=rt –2044 = 3.5r –R = 584 mph –3146 = 5.2r –R = 605 mph –Plane two is faster by 21 mph
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Try in your groups Natural Apple Sauce comes in 8 oz, 10 oz, and 16 oz jars. The 8 oz jar sells for $.54, the 10 oz jar sells for $.62, and the 16 oz jar sells for $1.00. Which jar is the most expensive per ounce? –$.54 ÷ 8 = $.0675 per oz –$.62 ÷ 10 = $.062 per oz –$1.00 ÷ 16 = $.0625 per oz –The 8 oz jar is most expensive per ounce
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