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Coordinate Algebra: Unit 1
Name___________________ Date_________________ Period____________
Lesson 2: Basic 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 perform single step and multi-steps unit conversions |
Important Vocabulary
Dimensional Analysis:________________________________________________________________________
_________________________________________________________________________________________.
Conversion Factor:__________________________________________________________________________.
Unit Conversion Cheat Sheet
|Money |Time |Distance/Length |Volume |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 |1 cm = 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 basic unit conversions |
| |
|How many days are in 5 years? In other words, convert 5 years to days. |
|1. Create a ratio for the original rate (what you know): | |
| | |
|2. Determine the conversion factor that will ultimately lead you in the | |
|direction you are trying to go: | |
|3. Use dimensional analysis to solve the problem: | |
| | |
|Example 2: Performing basic unit conversions with more than one step. |
| |
|Convert 2582000 minutes into days. |
|1. Create a ratio for the original rate (what you know): | |
| | |
|2. Determine the conversion factor that will ultimately lead you in the | |
|direction you are trying to go: | |
|3. Use dimensional analysis to solve the problem: | |
| | |
|Example 3: Performing basic unit conversions with more than one step. |
| |
|Convert 2 gallons to cups. |
|1. Create a ratio for the original rate (what you know): | |
| | |
|2. Determine the conversion factor that will ultimately lead you in the | |
|direction you are trying to go: | |
|3. Use dimensional analysis to solve the problem: | |
| | |
Let’s do an activity!
How many jumping jacks can you do it in one minute?
Me: My Partner:
Number of jumping jacks: _________ ___________
1 Minute 1 Minute
1. If your partner can do this many jumping jacks in one minute, how many could she potentially do in an hour? How about in a day? Finally, how many can your partner do in a year?
When talking about jumping jacks, which unit of measurement makes the most sense?
Quick Check! With your shoulder partner, please try answering the following questions.
1. Sally is 6 years old today, how many weeks is she?
2. Coach Bates has been teaching at Morrow High School for 9 years, how many minutes has he taught here at MHS?
Independent Practice
* Feel free to set these up on loose leaf if you need more room.
1. Cali has to drive to her grandmother’s house. Her grandmother’s house is 4343520 inches away. Help Cali find out how far her grandmother’s house is in miles by using dimensional analysis.
2. A chef requires 10 quarts of beef broth for his soup. Unfortunately he only has measurement in liters. How many liters would he need?
3. How many seconds old will someone be at the very moment they turn 10 years old?
4. Ms. Wesson was riding down a street. The speed limit was 72420.3 meters per hour. She yelled at the officer and told him she was only going 55 miles per hour. Was she right? Use dimensional analysis to determine and explain your answer.
5. Let’s pretend that you just had your last birthday. Create an analysis for how old you are in weeks, days, and seconds.
6. How many miles will a person run during a 10 kilometer race?
7. The moon is 250,000 miles away. How many feet is it from earth?
8. A family pool holds 10,000 gallons of water. How many cubic meters are in the pool?
9. Bob studied for 2.5 hrs. How many minutes did he study?
10. How many seconds are in 1.4 days?
11. Kelsi’s mom has a car with a 16 gallon gas tank. The car gets 25 miles per gallon. How many tanks of gas will Kelsi’s mom use on a 2000 mile road trip?
12. How many minutes are in 1.2 weeks?
13. At Dexter’s Halloween party, 3 gallons of chocolate milk were served. How many cups of chocolate milk were served?
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