1. Ratios, Rates, and Unit Rates across the Universe
An introduction by aliens

2. RATES & RATIOS Aliens are not going to do it for you.
The 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.

3. RATIOS
A ratio is a comparison of two numbers. Ratios can be written in three different
ways…
3 to 4
3:4
𝟑 𝟒

4. RATIOS
A RATIO makes a comparison. There are 3 green aliens and 4 purple aliens.
The ratio of green aliens to
purple aliens is…
3 to 4
𝟑 𝟒
3:4

5. RATIOS
A 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

6. 1 2 3 A B C D E 5 to 3, 5:3 or 𝟓 𝟑 RATIOS I agree, if you said…
Do you know the ratio of red letters to red numbers?
I agree, if you said…
5 to 3, 5:3 or 𝟓 𝟑
1 2 3
A B C D E

7. 1 2 3 A B C D E 1 to 3, 1:3 or 𝟏 𝟑 RATIOS I agree, if you said…
What do you think the ratio of blue numbers to red letters is?
I agree, if you said…
1 to 3, 1:3 or 𝟏 𝟑
1 2 3
A B C D E

8. RATES & RATIOS Aliens are not going to do it for you.
The 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.

9. A RATE is a ratio comparing different units.
RATES
A 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 miles in 5 seconds is a rate.

10. A RATE is a ratio comparing different units.
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…..
Miles
Seconds

11. 185 to 2, 185:2 or 𝟏𝟖𝟓 𝟐 RATES I agree, if you said…
A 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 𝟏𝟖𝟓 𝟐

12. A RATE is a ratio comparing different units.
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?

13. RATES & RATIOS Aliens are not going to do it for you.
The 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.

14. UNIT RATES = Most 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 a
unit rate of 5 miles per 1 hour or
simply 5 miles per hour.
Miles
Hours
Hour =

15. UNIT RATES A UNIT RATE compares a quantity to one unit of
another quantity. These are all examples of
unit rates.
6 tentacles per head
1 tail per body
2 eyes per alien
1 foot per leg
3 windows per spaceship
3 riders per spaceship
2 people riders per dog rider

16. RATES & RATIOS Aliens are not going to do it for you.
Turn to page 9 in your rates and ratios book
Aliens are not going to do it for you.

17. Write 3 part-to-part ratios Write 3 part-to-whole ratios
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