Ratios, Rates
& Unit Rates

RATIO: A RATIO SHOWS A SIMPLIFIED COMPARISON BETWEEN TWO
QUANTITIES.

AN EXAMPLE WOULD BE IF SOMEONE HAS ONE DESK AND TWO COMPUTERS.

Their desk to computer ratio is 1:2, or 1 to 2

The computer-to-desk ratio is 2:1, 02 2 to 1

Ratios can also be displayed as fractions, like ½

RATIOS

RATIOS

You have 4 hearts, 2 diamonds, 3 clubs, and 1 spade in your hand.

What is the ratio of red cards to black cards?

Examples

In a class, there are 9 guys and 3 girls.

What is the ratio of girls to guys?

Solving Ratio Problems with Proportions

A proportion is just two equal fractions.

A brownie recipe uses 2 and
one-half cups of butter and
serves 4 people. How many

cups of butter do you need to

serve 24 people?

A six foot tall Ukrainian with a 4
foot shadow is trying to take out a
Russian tank with a 12 foot shadow.

How tall is the tank?

Ralph finishes 14 math problems in 7
minutes. How many problems can he
finish in 30 Minutes?

Make change from a $10 bill into a 4: 1 ratio

Solving Ratio Problems

Ratio Problems can be solved with a simple proportion.They're actually
easy if the proportion is set up correctly.
Two types of Problems: Part/Part & Part/Whole

Part to Part

In Lucy’s class there are 12 boys and 18 girls. Write
the ratio of girls:boys in its simplest form.

Part to Whole

In Lucy’s class there are 12 boys and 18 girls. Write
the ratio of girls:students in its simplest form.

Ratio Problems

First, determine if the question asks about one of the parts, or the total (whole)

For every Blue car, there are 3 Silver Cars. If there are 18 silver cars, how many are blue?

For every Blue car, there are 3 Silver Cars. If there are 48 total cars, how many are blue?

3 out of 36 students are left-handed. If there are 165 right handed students, how many are left-handed?

The Warriors have won 34 games and lost 30. How many losses would we expect them to have after winning 51 games?

The Warriors have won 25 and lost 15 games. How many wins should they have after 80 games?

Why Does it Matter? Because it changes the way the proportion is set up.

Frank & Andre robbed a bank and
share the $1225 in a 3:4 ratio.
How much $$ does each person get?

05

The ratio of games lost to games
won is 2:3.The team has played
45 games. How many games have they lost?

At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44

camels at the zoo. How many of each

type of camel are there?

The ratio of games lost to games won is 2:3.The team has won 18 games. How many games have they lost?

Ratio Problems

The ratio of red tickets to blue tickets is

3:4. If there are 48 total tickets, how

many of them are blue?

05

Unit Rate Examples

It took Valerie 80 minutes to
drive 120 miles. How many

miles per hour is this?

Example 2

Example 3

A car travels about 25
miles on 1 gallon of gas.
About how far can the car
travel on 8 gallons of gas?

You score 84 points in 5
games. How many points
do you score per game?

Example 1

Taylor earned $180 last

week for working 20 hours.
How much money did she

earn per hour?

Example 4

Example 5

Example 6

Maria drove 340 miles in 4

hours. What was her

average speed? (In MPH)

A dozen eggs cost $4.99.

What is the cost of a single

egg?

Process:

I. Start with some Khan Academy topics

II. Work together on Classwork

III. Always ask when unsure

IV. Complete Khan topics
V. Complete classwork

VI. Practice test

vii. Take test

Fin