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Coordinate Algebra: Unit 1

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Day 3: Multi-Unit Conversions Guided Notes

|Standard and Skills |

|N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret |

|the scale and the origin in graphs and data displays. |

| |

|SWBAT use conversion factors to perform multi-unit conversions |

Unit Conversion Cheat Sheet

|Money |Time |Distance/Length |Capacity |Weight |

|1 dollar = 4 quarters |1 year = 365 days |1 mile = 1760 yards |1 gallon = 4 quarts |1 ton = 2000 pounds |

|1 quarter = 5 nickels |1 year = 52 weeks |1 mile = 5,280 feet |1 gallon = 3.79 Liters |1 pound = 16 oz |

|1 dime = 2 nickels |1 week = 7 days |1 yard = 3 feet |1 quart = 2 pints |1 kg = 1000 gram |

|1 nickel = 5 pennies |1 day = 24 hours |1 foot = 12 inches |1 pint = 2 cups |1 kg = 2.2 pounds |

| |1 hour = 60 minutes |1cm = 10 millimeters |1 cup = 8 fl oz | |

| |1 min = 60 seconds |1 inch = 2.54 centimeters |1 Liter = 1000 milliliters | |

| | |0.621 miles = 1 kilometer | | |

|Example 1: Performing Multi-step unit conversions |

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|Sammie can run 1 mile every 10 minutes, how many feet per second is this? |

|1. Create a ratio for the original rate: | |

| | |

|2. Determine the conversions necessary to convert the first unit: | |

| | |

|3. Determine the conversions necessary to convert the second unit: | |

| | |

|4. Use dimensional analysis to solve the problem: | |

| | |

Guided Practice

1) Jane drove 55 miles per half hour, how many yards/minute is this?

|1. Create a ratio for the original rate: | |

|2. Determine the conversions necessary to convert the first unit: | |

|3. Determine the conversions necessary to convert the second unit: | |

|4. Use dimensional analysis to solve the problem: | |

2) Convert 30 ft per sec to yards/minute

|1. Create a ratio for the original rate: | |

|2. Determine the conversions necessary to convert the first unit: | |

|3. Determine the conversions necessary to convert the second unit: | |

|4. Use dimensional analysis to solve the problem: | |

3) 57 yards per 3 hours is the same as how many yards/50minutes?

|1. Create a ratio for the original rate: | |

|2. Determine the conversions necessary to convert the first unit: | |

|3. Determine the conversions necessary to convert the second unit: | |

|4. Use dimensional analysis to solve the problem: | |

Quick Check! With your shoulder partner, please work on the following problems on your white board.

1. Sixty miles per hour is how many feet per second?

2. Sasha is moving a cart full of pizzas for her school fair. She is pulling the cart at 2000 feet per second but her aunt suggests that she transports the pizzas by car. Before doing this, Sasha’s aunt wants to know how fast she’ll have to drive the car to ensure that the materials get to where they need to be at a faster rate than Sasha is currently doing it. Remember, the speed of a car is measured in miles per hour.

3. Mrs. Mastin is driving at a rate of 55miles/hour. How far can she travel in 22 minutes?

Independent Practice

Convert for the specified units.

1. A tennis player is serving 140 miles per hour. How fast is that in feet per second?

2. Ms. McCarthy is driving in a small town and does not know the speed limit. She asked some strange lady what the speed limit was and she said 64 feet per second. Ms. McCarthy’s received a speeding ticket. Approximately how fast must she have been going in mile/hour.

3. A horse can run at a rate of 0.5 km per minute. What is the horse's rate in cm/sec?

4. If a person earns a wage of 5 cents per second, how many dollars do they earn per week?

5. If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes?

6. A student spends 40 minutes a day studying.

How many days per year does the student study?

7. How many feet tall is Ms. Stuart if she is 64 inches tall?

8. An 18 -wheeler carries 21500 lbs of lumber. How many tons of lumber are in the truck?

Review

Give an estimate for the measurement.

1. Measurement for flour in baking a cake

2. The distance from here to California

3. The weight of a pencil

4. The volume of a swimming pool

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