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