Transcript My mom`s car gets 45 miles per gallon on the

p. 33
• My mom’s car gets 45 miles per gallon on the expressway.
• We
need two sandwiches for each person at the picnic.
45 miles
Write the UNIT RATE
•The mystery meat label says 355 Calories per serving.
1 gallon
•I earn $3.50 per hour baby-sitting for my neighbor.
•My brother’s top running rate is 8.5 kilometers per hour.
How many miles?
How many gallons?
per gallon means 1 gallon.
p. 33
• My mom’s car gets 45 miles per gallon on the expressway.
• We
need two sandwiches for each person at the picnic.
•I earn $3.50 per hour baby-sitting for my neighbor.
2 sandwiches
Write
themeat
UNIT
RATE
•The
mystery
label
says 355 Calories per serving.
1 person
•My brother’s top running rate is 8.5 kilometers
per hour.
How many sandwiches?
How many people?
For each person means 1 person.
p. 33
• My mom’s car gets 45 miles per gallon on the expressway.
• We
need two sandwiches for each person at the picnic.
•I earn $3.50 per hour baby-sitting for my neighbor.
•The mystery meat label says 355 Calories per serving.
$3.50
Write
the top
UNIT
RATE
•My
brother’s
running
rate is 8.5 kilometers per hour.
1
hour
How many dollars?
How many hours?
per hour means 1 hour.
p. 33
• My mom’s car gets 45 miles per gallon on the expressway.
• We
need two sandwiches for each person at the picnic.
•I earn $3.50 per hour baby-sitting for my neighbor.
•The mystery meat label says 355 Calories per serving.
355 calories
1 serving
•My brother’s top running rate is 8.5 kilometers per hour.
Write the UNIT RATE
How many calories?
How many servings?
per serving means 1 serving.
p. 33
• My mom’s car gets 45 miles per gallon on the expressway.
• We
need two sandwiches for each person at the picnic.
•I earn $3.50 per hour baby-sitting for my neighbor.
•The mystery meat label says 355 Calories per serving.
•My brother’s top running rate is 8.5 kilometers per hour.
Write the UNIT RATE
How many hours?
kilometers?
per hour means 1 hour.
8.5 Km
1 hour
Which of the following is an
example of a rate?
1.
2.
3.
4.
5 boys for every 3 girls Both measure people– same unit
3 pigs for every 7 cows Both measure animals– same unit
32 feet for every 6 seconds
25 cents for every 1 dollar Both measure money– same unit
Feet and seconds are different units of measure.
Feet measures distance, seconds measures time.
Which of the following is an
example of a rate?
1.
2.
3.
4.
5 inches length to 2 inches width Both measure distance
3 miles north for every 7 miles west Both measure distance
32 tomatoes for every 6 apples Both measure amount of food
$5.25 cents for every 3 gallons
cents and gallons are different units of measure.
cents measures money, gallons measure volume.
Which is an example of a unit rate?
1.
2.
3.
4.
$1.78 for 2 tacos
400 feet per second
3 for $.99
10 calculators for $45
#2 is the only one that has a comparison to 1 of something!
What you know
What you want to know
÷ 20
20 calculator s

$120
÷ 20
1 calculator
$6
?
Since one of the numbers in the rate
is a 1, this is a UNIT RATE.
6 12
What you know
What you want to know
x2
1 calculator

x2
$6
2 calculator s
$ 12
?
6 12 18
What you know
What you want to know
x3
1 calculator

x3
$6
3 calculator s
$ 18
?
6 12 18 24
After you find the UNIT RATE, you can multiply the cost
for 1 calculator and the total number of calculators to find
the total cost.
$6 per calculator x 4 calculators = $24
6 12 18 24 30 60
90
$6 per calculator x 5 calculators = $30
$6 per calculator x 10 calculators = $60
$6 per calculator x 15 calculators = $90
6 12 18 24 30 60
16
What you know
90
What you want to know
÷ 15
15 calculator s

÷
15
$240
1 calculator
$ ?16
Since one of the numbers in the rate
is a 1, this is a UNIT RATE.
6 12 18 24 30 60
16 32 48 64 80 160
90
320
$16 per calculator x 2 calculators = $32
$16 per calculator x 3 calculators = $48
$16 per calculator x 4 calculators = $64
$16 per calculator x 5 calculators = $80
$16 per calculator x 10 calculators = $160
$16 per calculator x 20 calculators = $320
6 12 18 24 30 60
16 32 48 6480 160
80
What you know
90
320
What you want to know
÷ 10
10 calculator s

÷
10
$800
1 calculator
$ ?80
Since one of the numbers in the rate
is a 1, this is a UNIT RATE.
6 12 18 24 30 60
16 32 48 6480 160
80 160 240 320 400
90
320
1200 1600
$80 per calculator x 2 calculators = $160
$80 per calculator x 3 calculators = $240
$80 per calculator x 4 calculators = $320
$80 per calculator x 5 calculators = $400
$80 per calculator x 15 calculators = $1200
$80 per calculator x 20 calculators = $1600
How much does it cost to buy 53
$6 per calculator x 53 calculators = $318
fraction calculators?
1.
2.
3.
4.
$218
$318
$242
$424
How much does it cost to buy 27
$16 per calculator x 27 calculators = $432
scientific calculators?
1.
2.
3.
4.
$218
$318
$242
$432
How much does it cost to buy 9
$80 per calculator x 9 calculators = $720
graphing calculators?
1.
2.
3.
4.
$618
$720
$790
$730
How many fraction calculators can
a school buy if it can spend $390?
1.
2.
3.
4.
65 calculators
56 calculators
60 calculators
72 calculators
What you know
$6
1 calculator
390 ÷ 6 = 65
x 65

x 65
what you want to know
$390
? calculator s
How many fraction calculators can
a school buy if it can spend $84?
1.
2.
3.
4.
15 calculators
16 calculators
10 calculators
14 calculators
What you know
$6
1 calculator
x 14

x 14
84 ÷ 6 = 14
what you want to know
$84
? calculator s
How many graphing calculators
can a school buy if it can spend
$2,500?
1. 30 calculators
2. 32 calculators
3. 35 calculators
4. 31 calculators
What you know
$80
1 calculator
2500 ÷ 80 = 31.25
what you want to know
$2500

? calculator s
x 31.25
x 31.25
How many graphing calculators
can a school buy if it can spend
$560?
1. 7 calculators
2. 9 calculators
3. 5 calculators
4. 3 calculators
What you know
$80
1 calculator
560 ÷ 80 = 7
x7

x7
what you want to know
$560
? calculator s
.
1.
2.
3.
4.
Addition
Subtraction
Multiplication
Division
÷ 20
20 calculator s

$120
÷ 20
1 calculator
$6
?
What is the CROC for fraction
• 6
calculators?
•
•
•
10
16
80
Every time the # of
calculators increases by 1,
the cost increases by $6.
6 12 18 24 30 60
16 32 48 6480 160
80 160 240 320 400
90
320
1200 1600
Which variable is the independent variable?
the number of calculators
the total cost
1. The # of
calculators
2. Total cost
Does the number of calculators depend on
the total price?
OR
Does the total cost depend on the number
of calculators?
What form should you write your
equation?
1.
2.
3.
4.
Ind = sv x CROC + dep
dep = sv x CROC + ind
Ind = dep x CROC + sv
dep = ind x CROC + sv
Is there a starting value in this
situation? (That is if you eat 0 grams,
have you eaten any calories?)
1. Yes
2. No
Suppose the students analyze 725 grams of rust.
How much oxygen should they find?
1. 207.5 g
2. 217.5 g
3. 201.25 g
4. 210 g