Solve Rate Problems

Solving Rate Problems

Day 2

Open Ended

What is something that you learned yesterday?

Yesterday we discussed:

• Using Unit Rate to Solve Rate Problems

• Converting Measurements Using Ratios

Today we will:

• Review & Practice Solving Rate Problems

Don't forget:

• Progress Reports come out on Nov. 19th

• Your Spiral Review is due tonight!

QUICK QUESTION

Open Ended

What do you think of when you hear "unit rate"?

Unit Rate is

• scaling down to 1

• finding the amount per unit

Open Ended

What is an equivalent ratio?

Equivalent Ratios are..

Let's Review!

you should be using your notes.

Multiple Choice

True or False:

Turning a middle man into Unit Rate will help you scale up/down to the new rate

• True

• False

Poll

Solve in your notebook:

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmin already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

• Finished & I feel confident

• Finished & I am unsure

Use your ratio work for Yasmin's punch to answer the following questions.

Multiple Choice

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmin already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

True or False:

Yasmin is comparing cups to pineapple juice.

• True

• False

False.

Yasmin is comparing cups of papaya juice to cups of pineapple juice.

Multiple Choice

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmin already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

True or False:

The ratio below is set up correctly to represent Yasmin's punch.

 $\frac{papaya}{pineapple}=\frac{4}{6}$  

• True

• False

True!

4 to 6 is our "given ratio"

Multiple Choice

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmin already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

True or False: 

The ratio below is set up correctly to represent Yasmin's punch.

 $\frac{papaya}{pineapple}=\frac{4}{6}=\frac{24}{?}$  

• True

• False

False.

The 24 should be on the top since the 24 represents pineapple juice.

Multiple Choice

 $\frac{papaya}{pineapple}=\frac{4}{6}=\frac{?}{24}$  

Will you need a middle man to solve for the equivalent ratio?

• Yes

• No

No, you do not need a middle man.

6 can scale up to 24 evenly

Open Ended

When is it necessary to use a middle man to solve?

You need a middle man when you can not scale down or scale up with a whole number.

Remember: with ratios you do not add or subtract

Fill in the Blanks

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmin already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

Write your answer in the box.

 $\frac{papaya}{pineapple}=\frac{4}{6}=\frac{16\ cups\ of\ papaya}{24}$  

Yasmin needs 16 cups of papaya juice.

What your work should look like.

Poll

Solve in your notebook:

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

• Finished & I feel confident

• Finished & I am unsure

Use your ratio work for Jack's socks to answer the following questions.

Fill in the Blanks

Jack bought 3 pairs of socks for $7.50.

What two things are we comparing?

*put a space between the items*

Pairs of socks and money!

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

Multiple Choice

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

if

 $\frac{money}{socks}=\frac{?}{?}$  what number goes on top?

• 7.50

• 3

• 10

Multiple Choice

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

if

 $\frac{money}{socks}=\frac{?}{?}$  what number goes on bottom?

• 7.50

• 3

• 10

Multiple Choice

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

if

 $\frac{money}{socks}=\frac{?}{?}=\frac{?}{?}$  where will the 10 go?

• Top

• Bottom

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{10}$  

Remember, money is ALWAYS on the top

Multiple Choice

if

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{10}$  , what is my next step?

• Scale up by 7

• Create a middle man

• Scale down by 3

• Divide 10 by 3

Next Step: Create a Middle Man

Open Ended

Why do you need a middle man for this ratio?

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{10}$  

Because you cannot scale up from 3 to 10 with a whole number.

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{10}$  

Multiple Choice

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{?}=\frac{?}{10}$ 

Can I use unit rate for this ratio?

• No

• Yes

Yes.

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{?}=\frac{?}{10}$  

Multiple Choice

Is the middle man set up correctly?

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{1}{?}=\frac{?}{10}$  

• Yes

• No

No, the 1 goes on the bottom to find the price per pair

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{1}=\frac{?}{10}$  

Fill in the Blanks

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{1}=\frac{?}{10}$  


How do you go from 3 to 1?

Scale down by 3

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{1}=\frac{?}{10}$  

Fill in the Blanks

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{?}{1}=\frac{?}{10}$  

if you scaled down by 3 to get to 1, what is the next step?

Scale 7.50 down by 3

remember, what you do to the bottom you do to the top

Fill in the Blanks

Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{2.50}{1}=\frac{?}{10}$  

Write your answer in the box:

 $\frac{money}{socks}=\frac{7.50}{3}=\frac{2.50}{1}=\frac{25}{10}$ 

 

Jack would pay $25 for 10 pairs of socks.

What your work should look like.

YOUR TURN!

Fill in the Blanks

The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?

Fill in the Blanks

Alejandro read 4 pages in a book in 6 minutes. How long would you expect him to take to read 6 pages at this rate?

Fill in the Blanks

A recipe that will make 3 pies calls for 7 cups of flour. Find how many pies can be made with 28 cups of four.

Fill in the Blanks

Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate?

Fill in the Blanks

The Wildcats won 5 of their first 7 games this year. There are 28 games in the season. About how many games would you expect the Wildcats to win this season?

Fill in the Blanks

A factory produces 6 motorcycles in 9 hours. Find how many hours it takes to produce 16 motorcycles at this rate.

Poll

Rate yourself:

How do you feel about Solving Rate problems?

1 - I need more practice.

2 - I think I get it.

3 - Easy, so easy.

• 1

• 2

• 3