6.4a – Solving Story Problems Using Guess and Check Definitions of the Day (DODs) Guess and Check Story Problem

Definition: Guess and Check – A very simple, but effective method of solving complex problems by making guesses and checking answers Definition: Story Problem – A math problem that involves a story. A.k.a. “Word Problem”

Solve the Story Problem by Guess and Check Let’s Explore!! Solve the Story Problem by Guess and Check Old MacDonald had a farm. On his farm he had some cows. Moo, moo, moo. On his farm he had some ducks. Quack, quack, quack. The problem: he knows that he has a total of 100 animals and he can look under the fence of his coral and count 316 feet. How many of each animal does he have?

# of Cows # of Ducks # of Feet High or Low? 50 50 50(4) + 50(2) = 300 Low 70 30 70(4) + 30(2) = 340 High 60 40 60(4) + 40(2) = 320 High 55 45 55(4) + 45(2) = 310 Low 58 42 58(4) + 42(2) = 316 Done!!

Solve the Story Problem by Guess and Check Example Solve the Story Problem by Guess and Check An art class is planning a field trip to a museum. There are 22 people in the class and the class can take 4 vehicles. (only 4 drivers are available) If a van can hold 6 people and a car can hold 4 people, how many cars and how many vans should the teacher reserve. Note: (vans are more expensive…so the class does not want to rent only vans)

Your Turn!! Solve the following story problem by Guess and Check The Healdsburg HS Drama class put on a play last Saturday night. They knew that they sold 150 tickets and made a total of $1011. If the adult tickets were $8 each and the student tickets were $5 each, how many of each were sold?

Sentence Frames Describe how the “Guess and Check” method of problem solving works ___________________________________________ ___________________________________________