Proportions and Measurements Objective: Being able to convert from one unit of measure to another, using unit rates

Basic units of Measure 12 inches = 1 foot 1cm = 10 mm 3 feet = 1 yard 1 meter = 100 cm 5280 feet = 1 mile 1 kilometer =1000 m 1 inch = 2.54 cm 1 min = 60 sec 1 hour = 60 min 1 day = 24 hours Unit Rate – compared to 1 All the above measurements conversions can be written as a ratio compared to 1 which would be a unit rate

Converting Units Convert from one unit to another Set up the ratio given and multiple by the unit rates until you get the unit you want The key for setting up the ratios is the same units should be on the opposite side of the fraction bar to be able to cancel out

Example How many yards are in 3 miles? Notice the units are opposite each other so they cancel out Then multiple across the top and bottom and then simplify

Examples Set up and convert the following units How many meters are in 1 mile? How many inches are in a meter? How many minutes and in 1 day?

Examples Know how to combine 2 conversions. A radio controlled car traveled 30 feet across a room in 1.6 seconds, How fast was it going in miles per hour? Converting feet to miles and seconds to hours

Examples Using proportions and the unit rate to calculate higher comparisons. If I can get 55 miles to a gallon of gas, how many miles can I get on a full 10 gallon tank.

Examples

Exit Ticket Objective: Being able to convert from one unit of measure to another, using unit rates On a scale of 1 to 4 do you feel we met our objective? If we didn’t what do we need to improve.

Homework Pg 110 2-5, 10