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

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

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.

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

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

Scale down by 3

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

Scale 7.50 down by 3

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

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

 

Jack would pay $25 for 10 pairs of socks.

What your work should look like.

YOUR TURN!

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