BOA 503 Lessons (Unit Conversions) Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must BOA 403 Convert one, two- step or three- step unit attain mastery at this level conversions. BOA 503 Level 2 MOST students will attain mastery of the focus skill in isolation. Level 3 SOME students will attain mastery of focus skill with other skills Level 4 SOME students will attain mastery of focus topics covered in a more abstract way Level 5 FEW students will attain mastery of the extension skill. VOCABULARY Multiplicative Identity BOA 503 Convert units of measure (e.g. feet per second BOA 603 Solve word problems requiring unit conversion and integration of pre- algebra concepts. REQUIRED SKILL TO MASTER (These can be found on Khan Academy) Measurement Units LEVEL 1 1. How many years are equivalent to 1,000,000,000 seconds? 2. How many gallons are in 45 cups? 1
3. How many meters are in 70 inches? 4. A mole is a unit of measurement used in chemistry. The masses of one mole of three elements are in the table. Element Mass of 1 mole Gold 197.0 grams Silver 107.9 grams Platinum 195.1 grams a. Find the number of moles of gold in a 630- gram sample of gold. Round your answer to the nearest tenth. b. Find the number of moles of silver in a 500- gram sample of silver. Round your answer to the nearest tenth. c. Find the number of moles of platinum in a 1000- gram sample of platinum. Round your answer to the nearest tenth. 5. How many inches are there in 2 miles? LEVEL 2 6. An ostridge can run 0.02 km/second how fast is this in miles per hour? 2
7. A moped gets 51 km/liter what is this in miles per gallon? 8. Which is greater 12 gallons or 47 liters? 9. A kitchen faucet has a flow rate of 2.2 gal/min and a tub faucet has a flow rate of 7 gal/min. How long would it take to fill a 55- gallon drum using the kitchen faucet? How long would it take using the tub faucet? \ 3
10. If a shark can swim 25 feet per second how fast is this in miles per hour? 11. Asafa Powell set the world record for the 100- yard- dash on May 27, 2010 when he ran this race in 9.07 seconds. How fast is this in miles per hour? LEVEL 3 12. A caboose is 31 feet 6 inches. If a HO scale model is made for this caboose how long will the model be in inches? Note that an HO scale is 1 foot = 3.5 cmm. 13. The average reading speed is between 200 to 250 words per minute for nontechnical reading. What would the average reading time be to read Rick Riordan s Percy Jackson and the Olympians series, if it is 1,710 pages in total. Each page of these novels have about 275 words. Report your answer to the nearest tenth of an hour. Report your answer with a maximum time and a minimum time. 4
14. If the materials for a metal roof are $2 per square foot then the final cost to the customer is typically $5- $10 per square foot for the finished project. A house has a roof that is 40 by 50. What would be the maximum and minimum cost of a completed metal roof for this house? 15. David is re- carpeting his home theater. Below is a schematic of this room. If carpet costs $45 per square yard, how much would carpeting his home theater with this carpet cost? 5
16. Below is a graph relating weight in grams and energy in calories for a certain brand of ketchup. a. How many calories are in a pound of ketchup? b. How many ounces are needed for 2000 calories? c. Is this a proportional relationship? 17. The graph at the right relates gallons of gasoline and distance traveled in miles for two different cars. a. How many miles can the car with the slope of 10 travel with 0 gallons of gas? b. How many kilometers can the car, with a slope of 25, travel with 10 gallons of gas? c. How many liters of gas are needed for the car, with a slope of 10, to travel 300 miles? 6
Level 4 18. Four workers can dig a 40- foot well in 4 days. How long would it take for 8 workers to do a 60- foot well? Assume that these 9 workers work at the same pace as the 4 workers. 19. How many minutes does it take an ant walking at 0.01 m/s to travel 6.0 feet across a picnic table? 20. In September of 2013 Wilson Kipsang of Kenya set the world record for a marathon, 26 miles 385 yards) in 2 hours 3 minutes and 23 seconds. a. How fast is that in feet per minute? b. How fast is that in miles per hour? Level 5 21. A peach weighs 65 grams. If you buy 10 peaches and they sell for $5.50 per kilogram, what is the approximate cost of each peach? What is the cost of 10 peaches? 22. The physician has ordered 1.0g of tetracycline to be given every 6 hours to a patient. If your stock on hand is 500- mg tablets, how many will you need for 1 day's treatment? 7