Vocabulary
What is a special kind of ratio that has different units? (distance vs time, price vs weight)
Rate
250 miles
John went 6 feet in 3 seconds on his bike. How far did he go in 1 second?
2 feet
A bag of rice costs $2.00 for 1 lb. How much would you spend if you bought 8 lbs of rice?
$16.00
What is an equivalent ratio to 1:3?
2:6
3:9
4:12
etc.
A rate where the first quantity is compared to 1 unit of a second quantity
Unit Rate
A worker can ship 15 packages in 10 minutes. How many packages can they ship in 2 minutes?
3 packages
A hummingbird flaps its wings 1,950 times in 30 seconds, how many times does the hummingbird flap its wings in 1 second.
65 times per 1 second
Caroline's Mother is taking her and 4 friends to a water park. She could either buy the 5-pack of tickets for $138 or pay $28 for each individual ticket. Which ticket option has the cheaper (lesser) unit price?
The 5 pack of tickets ($26 per ticket)
How many cups are in one gallon?
16 cups
The cost per unit of an item
Unit Price
If red peppers cost $.40 per lb at the grocery store and we spend $6.40, how many lbs of red peppers did we buy?
16 lbs
Jane can bike 9 kilometers in 24 minutes, how far can Jane bike in 1 minute?
.375 kilometer per minute
A grocery store sells a 6 oz container of yoghurt for $0.78, it also sells a 32 oz container of yoghurt for $3.84. What is the price per oz of the cheaper yoghurt?
$0.12 per ounce (The 32 oz container for $3.84)
John's bakery uses 2 bananas to make a batch of 20 banana muffins. A rival bakery uses 1 banana to make 5 banana muffins. Which bakery has the greatest ratio of bananas to muffins?
meaning which bakery uses the most bananas per muffin
The rival bakery.
1 banana:10 muffins for Johns
1 banana: 5 muffins for the rival
True!
Which of the following ratios are also rates?
a) 60 miles : 2 hours
b) 3 feet : 1 yard
c) 15 dollars : 1 lb
a) 60 miles : 2 hours
c) 15 dollars : 1 lb
We are looking at rates, not necessarily unit rates
If Amber ran 1 lap in 5 minutes, how many laps did she win in 1 minute?
0.2 or 1/5 of a lap in one minute.
A store sells a pack of 20 baseball cards for $25.95 or a single baseball card for $1.75 each. What is the lesser unit price?
The package of 20 baseball cards
How many yards did Sophie jog if she went 2.5 miles?
4,400 yards
Which of the following are Unit Rates... (there may be more than one correct answer)
a) 4 miles : 10 minutes
b) 60 minutes : 1 hour
c) 50 meters : 1 day
C) 50 meters per 1 day
A track runner can go .5 laps in 45 seconds. How many laps can that same runner go in 15 minutes?
10 laps
60 seconds = 1 minute
45 seconds = .75 minutes
.5 laps : .75 minutes (x 20) = 10 laps in 15 minutes
A runner ran 6 miles in 50 minutes on Thursday. She then ran 4 miles in 32 minutes on Friday. How much faster did she run on Friday?
.005 miles per minute faster
A butcher sells 1 package of ground beef for $6.50. That package weighs 2 lbs. How many pounds of ground beef did the butcher sell if someone bought $52.00 worth of ground beef?
Lucas collected 36 shells on vacation. His sister collected more shells than him. For every 3 shells he collected, his sister collected 4 shells. How many total shells did Lucas's sister collect?
48 shells