0-1 Plan for Problem Solving

1. 0-1 Plan for Problem Solving Goal: Use a verbal model to write an algebraic equation or inequality to solve a real-life problem.

2. Vocabulary Modeling – writing a math statement that represents a real-life situation.

3. A Problem Solving Plan Write a verbal model (words) Assign labels Write an algebraic model Solve the equation Check your answer

4. Example #1 An airplane has been flying for two hours and has flown a distance of 360 miles. How fast has it been flying? Verbal Model: Labels: Algebraic Model: 180 miles per hour

5. Example #2 A recycling center pays $.05 per aluminum can. You were paid $4 for recycling cans. How many cans did you recycle? Verbal Model: Labels: Algebraic Model: 80 cans

6. Example #3 Mary’s hallway is 10 feet long and 4 feet wide. She paid $200 to tile her hallway floor. How much did Mary pay per square for for the tile? Verbal Model: Labels: Algebraic Model: $5

7. Example #4 Mr. Long’s lawn is 50 feet long and 35 feet wide. He paid a lawn service $350 to aerate and reseed his lawn. What did the lawn service charge per square foot? Verbal Model: Labels: Algebraic Model: $0.20 per square foot

8. Example #5 Emily’s family drove 254.6 miles. Their car used 19 gallons of gas. What is the car’s gas mileage? Verbal Model: Labels: Algebraic Model: 13 miles per gallon

9. Example #6 A used book store had a sale on all paperbacks for $0.45 each. The store had $72.45 in sales. How many books did the store sell? Verbal Model: Labels: Algebraic Model: 161 books

10. Practice Page P6 #1-6

11. Write an expression 40p + 200c 2a + 3c Mr. Martinez ordered 25 key chains and 500 pencils. Write an algebraic expression that represents the cost of the order. Mrs. King bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost for the tickets.

12. Homework Pages 7-9 #10, 30-33, 35, 56-61