# Question of the day What is the scale factor of yards to inches?

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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

US customary units

Choose the appropriate customary unit

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 12 1

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. 𝑐𝑢𝑝𝑠 𝑝𝑖𝑛𝑡𝑠 = 18 𝑋

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

Metric unit of measures
Grams Measurement of mass or weight Liter Measurement of volume or capacity Meter Measurement of length

Metric units of measure prefixes

Metric system units

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

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