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Road TripWord Problem Study • Mr. DiEmidio took his family and his favorite student on a road trip to the Outer Banks in North Carolina to see the world’s largest hammock. The price of gas was $2.55 per gallon, and he used 13 gallons of gas. The cost of food for everyone on the trip was $45.84. Tolls cost $16.00. (One bridge/tunnel was 21miles long and was expensive to cross.) The trip was a total of 313 miles. • What was the total cost of gas for the trip? • What was the total cost of gas, food, and tolls? • What was the total cost per mile for this trip? (Remember you are working with money.)
Tips for Solving Open-Ended Problems • Make 2 columns • Put “work” on the left • Put “explanation” on the right work explanation
Solving Tips • Show and numbereach step of the work • Even/especially if the work was done in the student’s head or calculator.
Explanation Tips • Make sure toEXPLAINyour work - notDESCRIBEit • Description: “I multiplied $2.55 and 13 and got $33.15” • Explanation “I multiplied the price of gas per gallon and the number of gallons to get the price for the gas used.”
Explanation Tips • Make sure ALL steps are explained in words. • Make sure not to use only numbers in your explanations – this will make it more difficult to describe your work.
Explanation Tips • Use “magic words” in your explanation. • These are words that help you to ‘explain’ your work rather than ‘describe’ it.
What are the Magic Words? • To find • To get • To figure out • To show • Because • Since • Therefore…….
Explanation Tips Make sure NOT to use the words “to find THE ANSWER” The words “the answer” do not explain what the answer represents.
The Explanation 1) I multiplied the price of gas and the number of gallons TO GET the total cost of gas. 2) I added the cost of gas, food and tolls together TO FIND the total cost of the trip. 3) I divided the total cost of the trip by the number of miles and I FOUND the cost per mile. 4) SINCE I had many decimal places, I rounded to the hundredth BECAUSE I wanted money.
Work 1) $2.55 X 13 gal = $33.15 2) $33.15 + $45.84 + $16.00 = $94.99 3) $94.99 313mi $0.3034824281… 4) $0.30 per mile Explanation 1) I multiplied the price of gas and the number of gallons TO GET the total cost of gas. 2) I added the cost of gas, food and tolls together TO FIND the total cost of the trip. 3) I divided the total cost of the trip by the number of miles and I FOUND the cost per mile. 4) SINCE I had many decimal places, I rounded to the hundredth BECAUSE I was working with money. The Final Product