9-10 PPT

Report
5 Minute Check
Complete on the back of your homework.
1. Alana biked 45 miles in 3 hours. How many miles did she
bike in 1 hour?
2. The Reyes family bought 4 concert tickets for $252.
What was the price per ticket?
3. Vinnie decorated 72 cookies in 18 minutes. How many
cookies did he decorate per minute?
4. John ran 200 meters in 40 seconds. How many meters
per second did he run?
5 Minute Check
1. Alana biked 45 miles in 3 hours. How many miles did she
bike in 1 hour?
45 miles
3 hours
=
15 miles
1 hour
5 Minute Check
2. The Reyes family bought 4 concert tickets for $252.
What was the price per ticket?
5 Minute Check
2. The Reyes family bought 4 concert tickets for $252.
What was the price per ticket?
$252
4 tickets
=
$63
1 ticket
5 Minute Check
3. Vinnie decorated 72 cookies in 18 minutes. How many
cookies did he decorate per minute?
5 Minute Check
3. Vinnie decorated 72 cookies in 18 minutes. How many
cookies did he decorate per minute?
72 cookies
18 minutes
=
4 cookies
1minute
5 Minute Check
4. John ran 200 meters in 40 seconds. How many meters
per second did he run?
5 Minute Check
4. John ran 200 meters in 40 seconds. How many meters
per second did he run?
200 meters
40 seconds
=
5meters
1 second
Tuesday, Sept 10
Lesson 1.4
Ratio Tables
Ratio Tables
Objective: To use ratio tables to represent
and solve problems involving equivalent
ratios.
Ratio Tables
Ratio Tables
Equivalent ratios express the same
relationship between quantities.
1:2 is equivalent to
2:4 is equivalent to
4:8 is equivalent to
8:16 is equivalent to
16:32 is equivalent to
?
Ratio Tables
Equivalent ratios express the same
relationship between quantities.
How can you determine if a ratio is equivalent
to another ratio?
Ratio Tables
Equivalent ratios express the same
relationship between quantities.
How can you determine if a ratio is equivalent
to another ratio?
The ratio(s) will simplify to the same ratio.
Ratio Tables
A ratio table is a table which contains
equivalent ratios.
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
12
16
6
4
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
12
6
16
8
4
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
12
6
3
16
8
4
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
6
12
18
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
6
1
18
3
12
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
6
1
12
18
3
36
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
3,000
120
2
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
3,000 1,500
120
60
2
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Below is an incomplete ratio table . Complete the ratio
table with equivalent ratios.
3,000 1,500
120
60
50
2
Remember we can only multiply and divide to get from one
ratio to another!
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Step 1 – Draw the table. The number of rows will depend
on the number of units. The number of columns should be
at least 4. You can add more if needed.
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Dollars
Hours
Step 2 – Label the table with the units.
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Dollars
320
Hours
40
6
Step 3 – Add the data. Generally, the complete ratio
would be in the left-hand column (after the units) and the
incomplete ratio would be in the right-hand column.
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Dollars
320
Hours
40
6
Step 4 – Complete the data table. Generally, the third
column should be for the simplified ration, if needed.
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Dollars
320
8
Hours
40
1
6
Step 4 – Complete the data table. The third column
should be for the simplified ratio, if needed.
Ratio Tables
Dan made $320 for 40 hours of work. Make a ratio table
to determine how much he made for 6 hours of work.
Dollars
320
8
48
Hours
40
1
6
Dan made $48 for 6 hours of work.
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Step 1 - ?
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Step 2 - ?
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Cans
Dollars
Step 3 - ?
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Cans
10
Dollars
4
Step 4 - ?
15
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Cans
10
5
Dollars
4
2
15
Ratio Tables
Cans of corn are on sale at 10 for $4. Find the cost of 15
cans.
Cans
10
5
15
Dollars
4
2
6
The cost of 15 cans will be $6.
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Step 1 - ?
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Step 2 - ?
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Drops
cups
Step 3 - ?
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Drops
6
cups
1
Step 4 - ?
5
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Drops
6
6
cups
1
1
Step 4 - ?
5
Ratio Tables
To make yellow icing, you mix 6 drops of yellow food
coloring with 1 cup of white icing. How much yellow food
coloring should you mix with 5 cups of white icing to get
the same results?
Drops
6
6
30
cups
1
1
5
You will need 30 drops of coloring for 5 cups of icing.
Ratio Tables
A punch recipe that serves 24 people calls for 4 liters of
lemon-lime soda, 2 pints of sherbet, and 6 cups of ice.
How much of each ingredient would it take to make
enough for 36 people?
Do this on your own.
Ratio Tables
A punch recipe that serves 24 people calls for 4 liters of
lemon-lime soda, 2 pints of sherbet, and 6 cups of ice.
How much of each ingredient would it take to make
enough for 36 people?
People Served
24
Liters of soda
4
Pints of sherbet
2
Cups of Ice
6
36
Ratio Tables
A punch recipe that serves 24 people calls for 4 liters of
lemon-lime soda, 2 pints of sherbet, and 6 cups of ice.
How much of each ingredient would it take to make
enough for 36 people?
People Served
24
12
Liters of soda
4
2
Pints of sherbet
2
1
Cups of Ice
6
3
36
Ratio Tables
A punch recipe that serves 24 people calls for 4 liters of
lemon-lime soda, 2 pints of sherbet, and 6 cups of ice.
How much of each ingredient would it take to make
enough for 36 people?
People Served
24
12
36
Liters of soda
4
2
6
Pints of sherbet
2
1
3
Cups of Ice
6
3
9
It would take 6 liters of soda, 3 pints of sherbet, and 9 cups
of ice to serve 36 people.
Ratio Tables
A patient receives 1 liter of IV fluids every 8 hours. At that
rate, find how many hours it will take to receive 4 liters of
fluid.
Do this on your own.
Ratio Tables
A patient receives 1 liter of IV fluids every 8 hours. At that
rate, find how many hours it will take to receive 4 liters of
fluid.
liters
hours
1
8
1
8
4
32
It will take 32 hours to receive 4 liters of IV fluids.
Ratio Tables
To make cranberry jam, you need 12 cups of sugar for
every 16 cups of cranberries. Find the amount of sugar
needed for 4 cups of cranberries.
Do this on your own.
Ratio Tables
To make cranberry jam, you need 12 cups of sugar for
every 16 cups of cranberries. Find the amount of sugar
needed for 4 cups of cranberries.
Sugar cups 12
3
3
Cran Cups 16
4
4
You will need 3 cups of sugar for 4 cups of cranberries.
Ratio Tables
In a recent year, Joey Chestnut won a hot dog eating
contest by eating 66 hot dogs in 12 minutes. If he ate at a
constant rate, determine how many hot dogs he ate every
4 minutes.
Do this on your own.
Ratio Tables
In a recent year, Joey Chestnut won a hot dog eating
contest by eating 66 hot dogs in 12 minutes. If he ate at a
constant rate, determine how many hot dogs he ate every
4 minutes.
Hot dogs 66
11
22
minutes
2
4
12
Joey ate 22 hotdogs every 4 minutes.
Ratio Tables
On her vacation, Leye exchanged $50 American and
received $60 Canadian. Use a ratio table to find how
many Canadian dollars she would receive for $20
American?
Do this on your own.
Ratio Tables
On her vacation, Leye exchanged $50 American and
received $60 Canadian. Use a ratio table to find how
many Canadian dollars she would receive for $20
American?
American $ 50
5
20
Canadian $
6
24
60
She would receive $24 Canadian for $20 American.
Ratio Tables
Agenda Notes
Homework –
Lesson 1-4 Homework Practice
Due Wednesday, Sept 11
Mid-Chapter Quiz on
Thursday, Sept 12
Please Review Mid-Chapter Check on Page 58

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