**Lesson 16: From Ratios to Rates**

Exercise 1

Teagan went to Gamer Realm to buy new video games. Gamer Realm was having a sale: $65 for 4 video games. Teagan bought 3 games for himself and one game for his friend, Diego but does not know how much Diego owes him for one game. What is the unit price of the video games? What is the rate unit?

# 3

A publishing company is look for new employees to type novels that will soon be published. the publishing company wants to find someone who can type at least 45 words per minute. Dominique discovered she can type at a constate rate of 704 words in 16 minutes. Does Dominique type at a fast enough rate to qualify for the job? Explain why or why not.

SKILL

Solve basic problems

Know-4 square

Illustrate-tape diagram, table, double number line

Link to real life

Launch a project

What is a rate? Is part of a ratio?

Make sure you learn this!!!

Look at number 2 and answer a and b

Ratios can be transformed to rates and unit rates

Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.

Exercise 1

a. How much do 2 packs of diet cola cost?

Answer

We can still use our knowledge of tables. We can still use our knowledge of simplified fraction. Four divided by 2 is 2 and 10 divided by 2 is 5.

Exercise 1 p. 68

b. How much does 1 pack of diet cola cost?

This we may have to do something

different...or do we?

Answer

Unit rate

Why we need math...

Solve basic problems

Unit rate

72 miles in 2 hours

How many miles in one hour?

Knowledge

4square, map math, rap, song

Illustrate

4 bottles at 2 $

How many bottles for 1 dollar?

Link to real life

1. Buying candy at a grocery store to find the better buy

2. Driving miles per hour

3. Racing how fast are we going

4. Cooking

Launch a project

Project should include everything:

Solve and create a word problem

Knowledge

Illustrate the problem

Link to real life

We need to divide 4 into 65

65 divide by 4=

The unit price is 16.25.

The rate unit is dollars/video

game.

Four football fans took turns driving the distance from New York to Oklahoma to see a big game. Each driver set the cruise control during his leg of the trip, enabling him to travel at a constant speed. The men changed drivers each time they stopped for gas and recorded their driving times and distances in the table.

Fan Distance(miles) Time(hours)

Andre 208 4

Matteo 456 8

Janaye 300 6

Greyson 265 5

What two quantities are being compared?

Miles and Hours

b. What is the ratio of the two quantities for Andre's car? What is the associated rate?

Andre's ratio is 208:4

Andres' Rate=

208 divided by 4=

52 miles per hour

Answer the same two questions in part b for the other three drivers.

Matteo's ratio: 456:8

Janaye's ratios: 300:6

Greyson's ratio: 265:5

Matteo's rate is 57 miles per hour

Janaye's rate is 50 miles per hour

Greyson's rate is 53 miles per hour

part c continued

Part c

d For each driver circle the

unit rate and put a box around the rate unit

Let's use our knowledge of rate.

Rate means divide to find one.

704 divided by 16=

1 minute in 44 words

Dominique does not type at a fast enough rate because she only types 44 words per minute, which is slower than 45 words per minute.

Lesson Summary

A ratio of two quantities such as 5 miles per 2 hours, can be written as another quantity called a rate.