Ratio, Rates, and Units of
Measure
Ratio
• A comparison of two numbers by division.
• Examples:
– 4 to 6
– 4:6
– 4/6
Simplest Form
• We simplify (reduce) ratios like fractions
• Ex:
1. 4 to 8
reduced 1 to 2
2. 18:27
reduced 2:3
Rate
• A ratio of two measurements with different
units.
• Ex:
• 50mph or 50miles/hour
• 15dollars/2 hours
Unit Rate
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A rate in which the denominator is 1.
Ex:
70 miles per hour
$30 per hour
35 miles per gal
Solve:
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1.
2.
3.
4.
Simplest form
20/24
18:30
14 to 35
81/90
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1.
2.
3.
Change to a unit rate
200 miles in 5 hours
$350 for 5 days
18 pounds in 6
weeks
4. $1.89 for 6.5 ounces
Use Proportions to solve rate problems
• When using
proportions to solve
rate problems….make
sure to
Agenda
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Monday – Units of Measure
Tuesday – Conversions
Wednesday – 2 step Conversions
Thursday – Conversion Story Problems
Friday – Conversions Quiz
– Review Proportions
Units of Measure
Weight
1 ton = 2000 pounds (lb)
1 lb = 16 ounces (oz)
Mass
1 kilogram = 1,000gram
1g = 1,000milligram
Units of Measure
Time
1 year = 12 months
1 month = 4 weeks
1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
1minute = 60 seconds
Units of Measure
Length (Metric)
1km = 1000 m
1m = 100cm
1cm = 10mm
Big to Small
Km – m – cm - mm
• Length (customary)
1 mile = 5,280 feet
1yard = 3 feet
1 foot = 12 inches
1yd = 36 in
Units of Measure
Volume
1 gallon (gal) = 4 quarts (qt)
1 qt = 2 pints (pt)
1 pt = 2 cups (c)
1 c = 8 fluid ounces
Metric
1 liter (l) = 1, 000ml
1 kiloliter (kl) = 1,000 liter
1 liter = 100cl
1 cl = 10ml
BellRinger
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1.
2.
3.
4.
Simplest Form
16:56
50 to 225
6/36
17:85
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1.
2.
3.
Unit Rates
2120yd/60min
12 ft/3sec
24cups/60sec