Convert unit rates section 1.3 Essential question: how can you show that two objects are proportional? Customary Units - BrainPOP

Convert Rates The relationships among some commonly used customary and metric units of measure are shown in the tables below: Customary Units Smaller Larger 12 inches 1 foot 16 ounces 1 pound 8 pints 1 gallon 3 feet 1 yard 5,280 feet 1 mile Metric Units Smaller Larger 100 centimeters 1 meter 1,000 grams 1 kilogram 1,000 milliliters 1 liter 10 milliliters 1 centimeter 1,000 milligrams 1 gram

Convert rates Each of the relationships in the tables can be written as a _____________________ Like a unit rate, a unit ratio is one in which the denominator is ________________________ Below are three examples of unit ratios:

Convert rates The numerator and denominator of each of the unit ratios shown are equal. So, the value of each ratio is 1 You can convert one rate to an equivalent rate by multiplying by a unit ratio or its reciprocal. When you convert rates, you include the units in your computation The process of including units of measure as factors when you compute is called ______________________________

Example 1. A remote control car travels at a rate of 10 feet per second. How many inches per second is this?

example 2. A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?

Practice 3. A gull can fly at a speed of 22 miles per hour. About how many feet per hour can the gull fly? 4. an Amtrak train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth.

Essential Question Explain why the ratio of 3 feet:1 yard has a value of one. ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________