1. Ratios, Rates, and Unit Rates Mr. Bretl

2.  1630s, "reason, rationale"  from Latin ratio "reckoning, numbering, calculation; business affair, procedure"  also "reason, reasoning, judgment, understanding,"  from rat-, past participle stem of reri "to reckon, calculate," also "think" Ratio

3.  In mathematics, a ratio is a relationship between two numbers of the same kind. Ratio 3 dogs 4 cats The ratio of dogs to cats is 3:4 Read as three to four

4. Ratio What is the ratio of… Apples to Bananas? Tangerines to Apples? Limes to Apples? Bananas to other fruit?

5. Ratio What is the ratio of… Men to women? People with ties on to people without ties on?

6. Ratio What is the ratio of… Males to females? People giving the peace sign to people not giving the peace sign?

7.  A rate is a specific type of ratio between two numbers with different units. Rates Example: Take your heart rate Place two fingers on the major artery in your neck Count the number of heart beats in ten seconds Take our heart rate: 1.Place two fingers on the major artery in your neck 2.Count the number of heart beats in twenty seconds What is your heart rate in beats per minute?

8.  A car drove 42 miles in one hour. If it was going the same speed the whole time, how fast was it driving? Rates

9.  Another car drives 102 miles in one hour. If it was traveling at the same speed the whole time, how fast was it going? Rates

10.  If another car then traveled 56 miles in 30 minutes, how fast was it travelling in miles per hour? Rates

11.  What is the rate of hours you sleep per day? Per week?  What is the rate of days you sleep per year? Rates

12.  A unit rates is a rate over 1 (the denominator is 1)  Example: You drive 50 kilometers in 30 minutes. What is this as a rate? What is this as a unit rate, i.e., kilometers/minute? Unit Rates

13. Equivalent Ratios 6:183:91:3