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Practice converting units of measure between US customary and Metric systems. Learn to identify units, conversion factors, and solve real-world problems. Includes examples and exercises at different difficulty levels.
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Question of the day • What is the scale factor of yards to inches?
Learning goal • Students will be able to compare, contrast, and convert units of measure between different measurement systems (US customary or metric SI), dimensions, and derived units to solve problems.
Level 2 • Students will: • Identify the appropriate unit of measure for the given object • Identify units (length, mass or capacity/volume) • Identify what is Customary and Metric • Define key terms.
Level 3 • Students will: • Use dimensional analysis to solve problems within same measurement system (Metric or Customary) • Convert between Metric and Customary
Level 4 • Use dimensional analysis between systems to solve real-world problems • Create a word problem involving dimensional analysis between two systems
Key terms • Metric system • US customary system • Volume • Mass • Unit of measure • Conversion factor
Measurements conversion US customary and Metric systems
You try • The weight of a car? • Length of a piece of paper? • How much water in a small pool?
Finding conversion factor • This is the difference between two units of measure. • Example from inches to feet it would be
You try • Conversion factor • Cups to pints • Ounces to pounds
Converting customary units • 1. find the conversion factor between the two you are converting • 2. Create a proportion between the conversion factor and given information • 3. Cross, cross, divide (sing the song if needed)
example • Convert 18 cups to pints. =
You try • Convert 30 inches to feet • Convert 1500 lbs. to tons
Sometimes you will have to do more than one conversion. • Example it you are converting from inches to miles. • Just do one conversion at a time until you reach the correct ending unit
Choose appropriate metric unit • The weight of a car? • Length of a piece of paper? • How much water in a small pool?
Converting between units of Metric • Because the metric system is based on units of ten, we do not need scale factors. • We only need to know how many times we will be diving or multiplying by ten
Example • Example if we are converting between Kilo- and Deca-, that is two steps . • two steps of 10 equal 100, so we multiply 100
example • Covert 4 kilometers to meters • That is 3 jumps • Each jump is 10, so three would be 1000 • 10 x 10 x 10 = 1000 • 4 x 1000= 4000
You try • Convert 20 milligrams to decigrams • Convert 34 hectograms to grams
summary • Describe in words how you would convert inches to miles