2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
10/2: 24 Warm Up
1.
2, 4, 6, 9
2.
4, 5, 6, 8
1
2.6 ­ Ratios Rates and Conversions.notebook
2.6: Ratio, Rates, and Conversions
October 02, 2015
Date: 10/2
A ratio compares two numbers by division.
Ratios can be written in three ways: _______________, ________________,
_______________
You can also think of a ratio as a multiplicative relationship.
ex:
A ratio that compares quantities measured in different units is called a
rate. A rate with a denominator of ____ unit is a unit rate.
ex:
2
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
Ex 1). You are shipping for sweaters. Store A sells 2 sweaters for $60 and
Store B sells 3 sweaters for $80. Which store offers the best deal?
Explain.
3
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
To convert from one unit to another multiply the original unit by a
conversion factor that produces the desired unit. A conversion factor is a
ratio of two equivalent measures in different units. A conversion factor is
always equal to one.
ex: (pg. 723)
Ex 2). What is 155 cm converted to meters?
Ex 3). What is 330 min converted to hours?
4
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
Ex 4). What is 15 kg converted to grams?
Ex 5). What is 5ft 3 in converted to inches?
5
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
The process to help determine the units for the answer is called unit
analysis.
Ex 6). The Space Needle in Seattle, Washington, is 605 feet tall. About
how many meters tall is the building? Use the fact that 1m
3.28 ft.
6
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
Ex 7). A student ran 100 yd in 12 seconds. At what speed did the
student run in miles per hour?
7
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
8
2.6 ­ Ratios Rates and Conversions.notebook
October 02, 2015
Homework:
pg. 119 #1 – 8, 10 – 32 (e), 35, 38
9