Warm-Up #2Use the table to write each ratio.

1. tulips to daffodils

2. crocuses to total number of bulbs

3. total bulbs to lilies

20:51

9:17

51:5Find the missing value in each proportion.

4. = 5. = 45 x

__ 9 5

__ p 36

__ 5 6

__

x = 25 p = 30

Ratio Versus RateRatio Versus RateRate Versus Unit RateRate Versus Unit Rate

What’s the difference?

Ratio, Rate, and Unit Rate

What am I Learning Today?What am I Learning Today?

How will I show that I learned it?How will I show that I learned it?Compare and contrast ratios and rates.

Express rates in a per unit form, where the denominator is one.

Determine which form of a rational number is most appropriate in a given situation.

VocabularyVocabulary

Rate: A ratio that compares two quantities measured in different units

Unit rate: A rate in which the second quantity in the comparison is ONE unit

EXAMPLE: The fastest running bird is the ostrich. An ostrich can run 240 miles in 6 hours. How far can an ostrich run in an hour?

Questions AnswersWhat is a rate and how is it expressed?

What is unit rate and how

is it used?

How do you determine unit

rate?

Ratio that compares two quantities with different units and expressed in a “per unit” form-Miles per hour-Words per minute

Unit rate is when the comparison is for ONE unit-Used for comparison shopping and finding the better deal

-Can be solved by using proportion-Simply take the rate and divide the numerator by the denominator (“how much” by “how many”)-But since units of measurement are different, both must be kept as part of the final answer.

240 miles 6 hours

40 miles or 40mph 1 hour

What is its rate?

What is its unit rate?

RATIORATIO RATERATE

both- Compares similar units

-Can be written 3 different ways

-Read it using the word “to”

- Compares different units

- Read it using the word “per”

-Allows you to calculate the “better deal”

- Written as

fractions

-Reduce to lowest form

Unit Rate Example: DoughnutsUnit Rate Example: Doughnuts

a) 3 for $1.00

OR

b) $.45 each

What is the better deal??What is the better deal??

To find unit rate….

divide the total rate by total # of items

$1.00 = $0.3333… 3about 33 cents each

$.45 = $0.45 145 cents each

Now let's take a look at a problem that Now let's take a look at a problem that involves finding the best buy.involves finding the best buy.

Find the unit price, or the cost per ounce, of each box. Divide the price by the number of ounces.

12-ounce box $2.64 12 ounces = $0.22 per ounce20-ounce box $3.80 20 ounces = $0.19 per ounce32-ounce box $5.44 32 ounces = $0.17 per ounce48-ounce box $8.64 48 ounces = $0.18 per ounce

The 32-ounce box costs the least per ounce.

Size Price

12 oz $2.64

20 oz $3.80

32 oz $5.44

48 oz $8.64

Is bigger better?Is bigger better? The costs of different sizes of boxes of

cereal are shown. Which box costs the least per ounce?

Now let's take a look at a problem that involves unit price and total cost.

"A sign in a store says: 3 Pens for $2.70. How much would 10 pens cost?" To solve the problem, find the unit price of the pens, then multiply by 10.

2.70 = x 3 12.70 = 3x

$2.70 ÷ 3 = $0.90$0.90 x 10 = $9.00

Finding the cost of one unit first makes it easy to find the total cost of multiple units.

Holiday Shopping Challenge: Unit Rate & Total Cost

What’s the better buy?How much do I owe?

1) Put name and title on your paper.

2) Number your paper from 1-4.

3) Choose the BEST BUY—the one with the lowest unit rate… Not the lowest TOTAL cost.

4) Slide will automatically transition after 4 minutes!

5) At the end we will tabulate your score and see who is the best shopper! Get Ready….

#1: Present for your little sister#1: Present for your little sister

a) 2 Webkinz for $15.50

OR

b) 3 Webkinz for $20.99

Which is the better buy?

#2: Present for your Mom or #2: Present for your Mom or GrandmaGrandma

a) $36.00 for 3.6 oz at Macy’s

OR

b) $17.00 for 1.7 oz at Wal-mart

Where is the better buy?

#3: Present for your BFF#3: Present for your BFF

a) 2 board game $15.99

OR

b) 3 board games for $49.99

Which is the better buy?

#4: Goodies for the Entire Family#4: Goodies for the Entire Family

a) This chest full of candy: 1 chocolate everyday for a year for $60

OR

b) $24.99 for a 100-count bag of chocolate

Which is the better buy?

TIME IS UP !Give yourself 10 points for each

correct answer.

a) 2 Webkinz for $15.50

$15.50/2 = $7.75 per Webkinz

OR

b) 3 Webkinz for $20.99

$20.99/3=$6.996=$7 per Webkinz

Which is the better buy? b) unit rate for 1 Webkinz ~$7.00

#1: Present for your little sister#1: Present for your little sister

#2: Present for your Mom or #2: Present for your Mom or GrandmaGrandma

a) $36.99 for 3.6 oz at Macy’s

$36.99/3.6 = $10.275 per ounce

OR

b) $17.49 for 1.7 oz at Wal-mart

$17.49/1.7= $10.288 per ounce

Where is the better buy?

a) Macy’s. The unit rate is $10.28 per ounce

#3: Present for your BFF#3: Present for your BFFa) 2 board games for $25.99

$25.99/2 = $12.995

=$13 per game

OR

b) 3 board games for $49.99

$49.99/3 = $16.663 per game

What is the better buy?

a) unit cost $13.00 per game

#4: Goodies for the Entire Family#4: Goodies for the Entire Family

a) 1 chocolate everyday for a year for $60

$60/365 = ~$0.164 per candy

OR

b) $24.99 for a 100-count bag of chocolate

$24.99/100 = ~$0.245 per candy

What is the better buy?

a) unit cost per candy ~$0.16

Find Your Total CostFind Your Total CostYou found such a deal that you stocked You found such a deal that you stocked

upup2 Webkinz at a unit rate of $7.00 per Webkinz25 chocolates at $0.16 cents each3 board games at a unit rate of $13 per game1/4 gallon of Lovely at a unit rate of $10.28 per ounce (psst… there are 128 ounces in a gallon)

1) Find the total cost of each type of gift and the subtotal.2) Add 6% sales tax.3) How much did you spend? You had $500. How much do you

have left?

Find Your Total CostFind Your Total Cost 2 Webkinz at a unit rate of $7 per Webkinz 25 chocolates at $0.16 cents each 3 board games, unit rate $13 per game 1/4 gallon of Lovely at a unit rate of $10.28

per ounce

(psst… there are 128 ounces in a gallon)(128 divided by 4 = 32)

Find the subtotal. Add 6% sales tax.Find the total.You had $500. How much money do

you have left?

2 x $7.00 = 14.00 + 25 x $0.16 = 4.00 +4 x $13 = 52.00 +32 x $10.28 = 328.96 __________

$398.96tax 23.94________________

$422.90

500.00 - 422.90

$77.10

Thanks for playing…now go home and SAVE your money.