Imagine This! You’re driving along a highway in Mexico when you notice this sign What should your speed be in miles per hour?

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Presentation transcript:

Imagine This! You’re driving along a highway in Mexico when you notice this sign What should your speed be in miles per hour?

Equivalence Statements, & Conversion Factors Unit Analysis Equivalence Statements, & Conversion Factors

I) Equivalence Statements An equivalence statement shows two quantities with different units that are equal to each other.

Equivalence Statements A) equivalence statements can be counted numbers: Examples: 1 dozen eggs = 12 eggs 1 pair of shoes = 2 shoes

Equivalence Statements B) equivalence statements can be numbers with in the same measurement system: Examples: 1 km = 1000m 5280 feet = 1 mile

Equivalence Statements C) equivalence statements can be numbers in different measurement systems: Examples: 1 lb = 2.21 kg 1 in = 2.540 cm

Equivalence Statements D) equivalence statements can be numbers that are specific to a situation: Examples: 1 in = 50 km such as on a map 1m = 3.45cm such as in a photograph 3 students = 1 lab group such as during a particular lab

Practice: Design four equivalence statements from your life and write them on your paper:

II) Conversion Factors A) Conversion factors are a set of fractions that ALWAYS equal one. The numerator and the denominator have equal value.

III) Using Conversion Factors for Dimensional Analysis B) Because a conversion factor is a fraction that equals one, when it is used in a calculation it does not effect the value of the number, however, it does change the units.

III) Using Conversion Factors for Unit Analysis C) Unit analysis is the process by which a conversion factor is used to convert a value from one unit to another.

III) Using Conversion Factors for Unit Analysis D) To decide which of the two conversion factors to use make sure the units from the known value will cancel leaving units for the unknown value.

DO IT!! Convert 3.5 hours to minutes:

Practice: convert 27.5 L to mL

Convert 950g to kg

Convert -16 ft/sec to MPH:

A craft store charges $1. 75 per foot for lace A craft store charges $1.75 per foot for lace. A)How much per yard is this? B)How much per meter is this?