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Ratio Tables

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 15 miles

3 hours = 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 $63

4 tickets = 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 4 cookies

18 minutes = 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 5meters

40 seconds = 1 second

Ratio Tables

Objective: To use ratio tables to represent and solve problems involving equivalent ratios.

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

How can you determine if a ratio is equivalent to another ratio?

Ratio Tables

How can you determine if a ratio is equivalent to another ratio?

They will simplify to the same ratio.

Ratio Tables

Aratio table is a table which contains equivalent ratios.

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

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.

How do we get from 12 to 6?

?

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

÷ 2

÷ 2

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

÷ 2

÷ 2

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

How do we get from 8 to 4?

?

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

÷ 2

÷ 2

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

÷ 2

÷ 2

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

How do we get from 6 to 12?

?

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

x 2

x 2

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

x 2

x 2

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

Since we we did not have either number in the middle section, any equivalent ratio will be correct.

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

We could either divide or multiple to find an equivalent ratio.

÷6

÷6

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

÷ 60

÷ 60

Ratio Tables

Below is an incomplete ratio table . Complete the ratio table with equivalent ratios.

Since we did not have either number in the middle section, any equivalent ratio will be correct.

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.

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.

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 TablesDan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work.

Step 4 – Complete the data table. The third column should be for the simplified rate, if needed.

What is the ratio in column 1 simplified?

Ratio TablesDan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work.

Step 4 – Complete the data table. The third column should be for the simplified rate, if needed.

Ratio TablesDan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work.

Dan made $48 for 6 hours of work.

Ratio TablesDan made $320 for 40 hours of work. Make a ratio table to determine how much he made for 6 hours of work.

Generally, when completing a ratio table we use scaling. Scaling means multiplying or dividing all the numbers in the ratio by the same number.

Ratio Tables

Cans of corn are on sale at 10 for $4. Find the cost of 15 cans.

Ratio Tables

Cans of corn are on sale at 10 for $4. Find the cost of 15 cans.

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?

Step 3 - ?

Ratio TablesTo 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 4 - ?

Ratio TablesTo 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 4 - ?

Ratio TablesTo 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?

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?

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?

Ratio TablesA 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?

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.

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.

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.

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?

She would receive $24 Canadian for $20 American.

Ratio Tables

Use the ratio table to determine how many people 13 subs would serve. Explain.

Ratio Tables

Use the ratio table to determine how many people 13 subs would serve. Explain.

52 people. The number of subs is multiplied by 4 to get the number of people served.

Ratio Tables

There are 10 girls and 8 boys in class. If 5 more girls and 5 more boys join the class, will the ratio of girls to boys remain the same? Justify your answer using a ratio table.

Ratio Tables

There are 10 girls and 8 boys in class. If 5 more girls and 5 more boys join the class, will the ratio of girls to boys remain the same? Justify your answer using a ratio table.

No. If 5 girls and 5 boys are added, there would be 15 girls and 13 boys in class. Using a ratio table, it shows the ratio should be 15 girls to 12 boys.

Ratio Tables

Agenda Notes

Homework –

Lesson 6.1.4 Homework Practice

Due Thursday, Aug 28

Mid-Chapter Quiz

Friday, Aug 29

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