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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.
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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