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