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Lesson EQ

Lesson EQ. How do you use proportions to convert measurements, find the unknown side length of polygon or real life objects, and interpret and construct scale models?. Converting Units. We can also use cross products to solve proportions to convert units.

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Lesson EQ

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  1. Lesson EQ • How do you use proportions to convert measurements, find the unknown side length of polygon or real life objects, and interpret and construct scale models?

  2. Converting Units • We can also use cross products to solve proportions to convert units. • In order to do this we must know the units, though. • Please copy the following two slides neatly into your work. • You will be quizzed separately on each set of information.

  3. Customary System Measurements • Length: • 12 inches = 1 foot • 3 feet = 1 yard • 5280 yards = 1 mile • Weight: • 16 oz = 1 lb • 2000 lb = 1 ton • Capacity • 8 fl oz = 1 cup • 2 cups = 1 pint • 2 pints = 1 quart • 4 quarts = 1 gallon

  4. Metric System • 1 millimeter = 0.001 meter • 1 centimeter = 0.01 meter • 1 decimeter = 0.1 meter • 1 meter • 1 dekameter = 10 meters • 1 hectometer = 100 meters • 1 kilometer = 1,000 meters

  5. Analyze Units • To analyze units we will be given a value in one unit and be told to change it into a different unit. • We will set these units as a ratio. • We will set that ratio equal to a ratio from our measurement notes. • We will solve for the missing value. • Make sure that the units match in each ratio.

  6. Analyze Units • The average American eats 23 pounds of pizza per year. Find the number of ounces of pizza the average American eats per year. • 23 lbx oz • We know 16 oz = 1 lb. Set up a proportion • 23 lb = 1 lb x oz 16 oz • Cross multiply: 23 • 16 = 1x • Simplify: 368 oz

  7. Analyze Units • Aihua drinks 4 cups of water a day. Find the total number of fluid ounces of water she drinks per day. • 4 cupsx fl oz • 8 fl oz = 1 cup ~ Set up a proportion • 4 cups = 1 cupx fl oz 8 fl oz • Cross multiply: 4 • 8 = 1x • Simplify: 32 fl oz

  8. Analyze Units • A model airplane flies 22 feet in 2 seconds. How many inches did the airplane fly? • 22 ftx in • 12 inches = 1 foot ~ set up proportion • 22 ft = 1 ftx in 12 in • Cross multiply: 22 • 12 = 1x • Simplify: 264 inches

  9. Your Turn • A fish swims 13 centimeters. How many meters did the finish swim? • 13 cm x m • 1 cm = 0.01 m ~ set up a proportion • 13 cm = 1 cmx m 0.01m • Cross multiply: 13 • 0.01 = 1x • Simplify = 0.13 m

  10. Try Another • 8 gallons equals how many quarts? • 8 galx qt • 4 quarts = 1 gallon • 8 gal = 1 galx qt 4 qt • Cross multiply: 8 • 4 = 1x • Simplify 32 quarts

  11. Additional Examples

  12. Homework

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