Problem Solving Strategy SWBAT solve multistep problems.

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Presentation transcript:

Problem Solving Strategy SWBAT solve multistep problems

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?

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?

Plan  Find an equation for each step: –How many pages does she have left?  = p –How many days will it take to finish?  P ÷ 22 = d

Solve  Evaluate the equations – = p –P = 352  Evaluate –P ÷ 22 = d –352 ÷ 22 = d –D = 16  It’ll take her 16 days to finish the book

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!

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

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

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

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

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