1b Ratios and Rate b.notebook
1) Find your seat
Do Now:
2) Fill out your index card
a) 1 thing you did over the summer
b) Do you have internet at home?
c) Book # and condition (new, good, or bad)
1b Ratios and Rate b.notebook
Math 7: Mr. Frain 1) Procedures and Rules
2) Fire Drill Procedure 3) Notes
1b Ratios and Rate b.notebook
1) I know the key terms ratio, rate, and equivalent ratios 2) I know how to compute unit rate
1b Ratios and Rate b.notebook
Do Now:
1)
Write 3 fractions that are equivalent to...
1
2
2) 2
3
3) 8
32
4) How do you find equivalent fractions?
1b Ratios and Rate b.notebook
Ratio: relationship/comparison of 2 quantities
a
It can be written as a:b, a to b, and b
We will also write it as an ordered pair (a,b) where a and b are not both 0.
ex) When applying to college the
counselor said that the ratio of boys to
girls is 2 to 3.
Meaning:
Symbols:
1b Ratios and Rate b.notebook
1b Ratios and Rate b.notebook
ex) The ratio of oil to water in a recipe
is 3 teaspoons to 10 teaspoons.
Meaning:
Symbols:
1b Ratios and Rate b.notebook
Unit Rate/Value of Ratio:
value ­ The number we get when we put the ratio into a fraction and divide. Unit Rate: This value tells us how many units of 1 quantity for 1 unit of the other
ex)
1)Find the value of the ratio 2 to 5
2) Find the value of the ratio 1 to 3
3) A store charges $1.80 for 3 bananas.
What is the unit rate? What does it mean?
1b Ratios and Rate b.notebook
Equivalent Ratios­ a:b and c:d
When we put the ratios into a fraction and divide them we get the same value.
There is a number k>0, so that a/b=k and c/d=k
ex) Are the ratios 5:4 and 12:5
equivalent? Explain.
1b Ratios and Rate b.notebook
ex) For the boys basketball team 15 boys
were selected out of 50 boys that tried out.
For the girls basketball team 18 girls were
selected out of 60 that tried out. Are these
ratios equivalent? Explain.
1b Ratios and Rate b.notebook
Rate:
the value we get when we divide a ratio­ same as unit rate but INCLUDE UNITS
Watch For...
1)Find the better buy at the store
2) Cars­ speed and gas mileage
3) Money
1b Ratios and Rate b.notebook
ex) I drove 200 miles in 5 hours. What is
my average rate (speed) in miles per hour?
1b Ratios and Rate b.notebook
ex) Emily drove 300 miles on 10
gallons of gas. John drove 240 miles
on 6 gallons. Who got the better gas
mileage in miles per gallon?
1b Ratios and Rate b.notebook
Review:
1) Ratio: 2 boys to 3 girls
Meaning: For every 2 boys there are 3 girls
Symbols: 2:3 (2,3)
2) Equivalent Ratios: 5 to 2 and 10 to 4
3) Unit Rate/ Rate: 60 miles in 2 hours
1b Ratios and Rate b.notebook
Examples:
1) Find each rate and unit rate
a) 350 miles in 5 hours
b) $1.26 for 6 ounces
c) $160 for 8 hours
1b Ratios and Rate b.notebook
2) Write 3 ratios that are equivalent to the following. a) For every 2 cows there are 8 legs
b) For every 2 hands there are 10 fingers
1b Ratios and Rate b.notebook
3) Mike paid $4.50 for a 6 pack of gatorade. Bryan paid $3.20 for a 4 pack. Are these ratios equivalent? Explain. 1b Ratios and Rate b.notebook
4) Which is the better buy?
$4.50 for a 6 pack of gatorade or $3.20 for a 4 pack
1b Ratios and Rate b.notebook
5) Which car is faster?
Mustang drove 201 miles in 3 hours or
corvette drove 272 miles in 4 hours. 1b Ratios and Rate b.notebook
Ticket out: Compute the unit rate
1) Eileen types 160 words in 5 minutes
*2) I finish tiling 1 of the floor in 2 hours.
2 1b Ratios and Rate b.notebook