Problem Solving Problem Solving StrategyStrategy

SWBAT solve multistep SWBAT solve multistep problemsproblems

In your groups discuss how you In your groups discuss how you would go about solving the would go about solving the

following problemfollowing problemEva has read 300 pages of a 652 page Eva has read 300 pages of a 652 page

book. If she reads 22 pages each book. If she reads 22 pages each day from now on, in how many days day from now on, in how many days will she finish the book?will she finish the book?

ReadRead

Visualize the problemVisualize the problem List the factsList the facts

– 652 page book652 page book– She’s read 300 pagesShe’s read 300 pages– She’ll read 22 pages a dayShe’ll read 22 pages a day

What is the problem asking?What is the problem asking?– Question: How many days to finish the Question: How many days to finish the

book?book?

PlanPlan

Find an equation for each step:Find an equation for each step:– How many pages does she have left?How many pages does she have left?

652-300 = p652-300 = p

– How many days will it take to finish?How many days will it take to finish?P ÷ 22 = dP ÷ 22 = d

SolveSolve

Evaluate the equationsEvaluate the equations– 652-300 = p652-300 = p– P = 352P = 352

EvaluateEvaluate– P ÷ 22 = dP ÷ 22 = d– 352 ÷ 22 = d352 ÷ 22 = d– D = 16D = 16

It’ll take her 16 days to finish the It’ll take her 16 days to finish the bookbook

CheckCheck

Use inverse operations to check your Use inverse operations to check your problemproblem– 16 days time 22 pages16 days time 22 pages– 352 pages352 pages– 352 pages plus 300 pages 352 pages plus 300 pages – 652 pages652 pages– It checks out!It checks out!

Follow AlongFollow Along

Mrs. Lopez bough 2 lbs of apples at Mrs. Lopez bough 2 lbs of apples at $1.09 a pound, 3 lbs of oranges at $1.09 a pound, 3 lbs of oranges at $.89 a pound, and 3 lbs of bananas $.89 a pound, and 3 lbs of bananas at $.39 a pound. How much did the at $.39 a pound. How much did the fruit cost her?fruit cost her?– Read Read – PlanPlan– SolveSolve– CheckCheck

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Dry cat food comes in regular and Dry cat food comes in regular and jumbo sizes. The 8 oz regular size jumbo sizes. The 8 oz regular size costs $.96. The 12 oz jumbo size costs $.96. The 12 oz jumbo size costs $1.35. Which is the better costs $1.35. Which is the better buy?buy?– $.96 ÷ 8 oz = $.12 per oz$.96 ÷ 8 oz = $.12 per oz– $1.35 ÷ 12 oz = $.1125 per oz$1.35 ÷ 12 oz = $.1125 per oz– Jumbo size is a better dealJumbo size is a better deal

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Judy’s school has a 0.5 km track. Judy’s school has a 0.5 km track. One day at practice she ran around One day at practice she ran around the track 9 times and then ran the track 9 times and then ran another 1 km in sprints. How far did another 1 km in sprints. How far did she run that day?she run that day?– 9 laps times 0.5 km = 4.5 km9 laps times 0.5 km = 4.5 km– 4.5 km plus 1 km = 5.5 km4.5 km plus 1 km = 5.5 km

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An airplane travels 2044 miles in 3.5 An airplane travels 2044 miles in 3.5 hours. Another travels 3146 miles in hours. Another travels 3146 miles in 5.2 hours. Which airplane is faster? 5.2 hours. Which airplane is faster? By how much?By how much?

Remember d=rtRemember d=rt– 2044 = 3.5r2044 = 3.5r– R = 584 mphR = 584 mph– 3146 = 5.2r3146 = 5.2r– R = 605 mphR = 605 mph– Plane two is faster by 21 mphPlane two is faster by 21 mph

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Natural Apple Sauce comes in 8 oz, 10 oz, Natural Apple Sauce comes in 8 oz, 10 oz, and 16 oz jars. The 8 oz jar sells for $.54, and 16 oz jars. The 8 oz jar sells for $.54, the 10 oz jar sells for $.62, and the 16 oz the 10 oz jar sells for $.62, and the 16 oz jar sells for $1.00. Which jar is the most jar sells for $1.00. Which jar is the most expensive per ounce?expensive per ounce?– $.54 ÷ 8 = $.0675 per oz$.54 ÷ 8 = $.0675 per oz– $.62 ÷ 10 = $.062 per oz$.62 ÷ 10 = $.062 per oz– $1.00 ÷ 16 = $.0625 per oz$1.00 ÷ 16 = $.0625 per oz– The 8 oz jar is most expensive per ounceThe 8 oz jar is most expensive per ounce