Ratios, Rates, and Unit Rates across the Universe
An introduction by aliens
RATES & RATIOSThe information on the next slide needs
to be written on page 1 of your rates and ratios book.
Aliens are not going to do it for you.
RATIOSA ratio is a comparison of two numbers.
Ratios can be written in three different
ways…3 to 4
3:4
𝟑𝟒
RATIOSA RATIO makes a comparison.
There are 3 green aliens and 4 purple aliens.
The ratio of green aliens to
purple aliens is…
3 to 43:4
𝟑𝟒
RATIOSA ratio is a comparison of two
numbers. The ratio of green aliens
to total aliens is
.
The ratio of total
aliens to purple
aliens is
.
3 to 7
7 to 4
RATIOSDo you know the ratio of red
letters to red numbers? I agree, if you said…
5 to 3, 5:3 or
A B C D E
1 2 3
RATIOSWhat do you think the ratio of
blue numbers to red letters is?
I agree, if you said…
1 to 3, 1:3 or
A B C D E
1 2 3
RATES & RATIOSThe definition of RATE on the next slide
needs to be written on page 1 of your Comparing & Scaling packet.
Aliens are not going to do it for you.
RATESA RATE is a ratio comparing
different units.
This spaceship travels at a certain speed. Speed is an example of a rate.
Speed can be measured in many different ways. This spaceship can travel
100 miles in 5 seconds. 100 miles in 5 seconds is a rate.
RATES
A RATE is a ratio comparing different units.
Rates are often written in fraction form.100 miles in 5 seconds is a rate.It can be written as…..
5
100 Miles
Seconds
RATESA train travels 185 miles in
two hours. Talk to your group members and figure out the rate of speed? I agree, if you said…
185 to 2,
185:2 or
RATES
A RATE is a ratio comparing different units.
One key word that often identifies a rate is PER.Miles per gallon, Points per game,Dollars per pizza, Sticks of gum per pack.
What other examples of rates can your group think of?
RATES & RATIOSThe definition of UNIT RATE on the next
slide needs to be written on page 2 of your Rates and Ratios packet.
Aliens are not going to do it for you.
UNIT RATESMost of the time when we work with rates we use a unit rate. A unit rate compares a quantity
to ONE unit of another quantity.
This alien can walk at a rate of 10 miles in 2 hours. His speed is aunit rate of 5 miles per 1 hour orsimply 5 miles per hour.
2
10 Miles
Hours 1
5 Miles
Hour=
UNIT RATESA UNIT RATE compares a quantity to one unit of
another quantity. These are all examples ofunit rates.
2 eyes per alien1 foot per leg
6 tentacles per head1 tail per body
3 windows per spaceship3 riders per spaceship
2 people riders per dog rider
RATES & RATIOS
Aliens are not going to do it for you.
• Turn to page 9 in your rates and ratios book
At the top of your page write Skittle Ratios
Number of orange skittles:
Number of yellow skittles:
Number of green skittles:
Number of red skittles:
Number of purple skittles:
Total number of skittles:
Write 3 part-to-part ratios(label)
Write 3 part-to-whole ratios (label
