Understand and Use Ratios and Unit Rate

Ratio

A comparison of two quantities by division

Terms

The Quantities x and y in a ratio

Equivalent ratios

Two ratios that have the same value

Rate

A ratio that compares quantities with 2 unlike units of measurement.

Unit rate

A rate in which the comparison is to one unit

Unit price

A unit rate that gives the cost per 1 item or per 1 unit.

Constant Speed

Speed that does not change

Conversion factor

A rate that compares equivalent measures of different units

Dimensional analysis

a technique of problem-solving in which you multiply by the conversion factor that relates the measurements and divide or cancel out the common units leaving you with 1 unit

customary units of measure

units of measure used most commonly in the United States; includes fluid
ounces, cups, pints, quarts, gallons, ounces and pounds

Metric Units of Measure

units of measure used internationally; includes milliliters, liters, grams and
kilograms

ratio table

A table listing pairs of numbers that form equivalent ratios.

customary units of length

inches, feet, yards, miles

metric units of length

Kilometer (km)
Meter (m)
Decimeter (dm)
Centimeter (cm)
Millimeter (mm)
Micrometer (um)
Nanometer (nm)

customary units of capacity

fluid ounces, cups, pints, quarts, gallons

metric units of capacity and mass

1 liter (L) = 1,000 milliliters (mL)
1 kilogram (kg) = 1,000 grams (g)
(*convert kilos to pounds by multiplying the number of kilos by 2.2)

customary units of weight

ounces, pounds, tons

Ratio Graphs

Graphs on which all data are plotted using (x,y) to (a,b) relationship and patterns are observed for conclusions about equivalent ratios