7-2 ratio and rate problems warm up warm up lesson presentation lesson presentation problem of the...

7-2 Ratio and Rate Problems

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpFind the unit rate.

1. 16 miles in 4 hours

2. 3 oranges for $2.40

3. 3 bottles for $0.93

4. 6 DVDs for $36.60

4 mi/h

$0.80 per orange

$0.31 per bottle

$6.10 per DVD


Objective- Solve problems in real world context using ratios and rates.

MAFS.6.RP.1.3

Common Core Standards


Additional Example 1B: Finding Equivalent Ratios and Rates

Use a table to find three equivalent ratios or rates.

B. Samantha walks at a rate of .

60

3

Original Rate

3 • 2 3 • 3 3 • 4

60 • 2 60 • 3 60 • 4

Multiply the numerator and the denominator by 2 3, and 4.

6 9 12

120 180 240

3 miles

60 minutes _________

The ratios , , , and are equivalent. 360

___ 9120___

180___

240___ 6 12


Additional Example 2: Comparing Rates

The cost of each additional minute over 500

minutes on Jill's cell phone plan is .

Which person's cell phone plan has the same rate for additional minutes over 500 minutes?

Name Rate

Allison

Juan

Zach

$6.50 24 min

$3.25 12 min

$12.00 48 min

$0.25 1 min

Find rates equivalent

to .

$0.25 1 min


Additional Example 2: Comparing Rates

The cost of each additional minute over 500 minutes on Jill's cell phone plan is

Which person's cell phone plan has the same rate for additional minutes over 500 minutes?

Original Rate

$0.25 • 12

$0.25 • 24

$0.25 • 48

1 • 12 1 • 24 1 • 48

Zach's rate of is equivalent to Jill's rate.

Cost

Minutes

$0.25

$0.25 1 min

1 12 24 48

$3.00 $6.00 $12.00

$12.00 48 min


Check It Out Example 2

Plane W traveled at an average speed of

. Which plane traveled at the same rate as plane W?

Plane Rate

X

Y

Z

750 miles 2 hours

750 miles 1 hour

2200 miles 3 hours

3250 miles 4 hours

7-2 Ratio and Rate ProblemsCheck It Out Example 2 continued

1

750=

750 . 2_______

1 . 2=

2

1500______________

which is the same as plane X


Additional Example 3: Application

Several groups of friends are going to take a shuttle bus to the park. It costs $24 for a group of 12 people to ride the bus. How much will a group of 15 friends pay?

Find the unit rate.

24 ÷ 12 = 2 Divide the bus fare by the number in each group to find the amount paid per person.

2 • 15 = 30 Multiply the unit rate by 15 to find the rate for 15 people.

A group of 15 friends will pay $30 in bus fare.


Check It Out: Additional Example 3A

Several groups of friends are going to take a shuttle bus to the park. It costs $40 for a group of 10 people to ride the bus. How much will a group of 8 friends pay?

$40 ÷ 10 $4

$4

10 ÷ 10 1

1

=

• 8 = $32


Check It Out: Additional Example 3B

Groups of friends are going to ride the Ferris wheel at the county fair. It costs $6.00 for a group of 3 people to ride the Ferris wheel. How much will a group of 8 friends pay?

$6 ÷ 3 $2

$2

3 ÷ 3 1

1

=

• 8 = $16


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson Quiz: Part IUse a table to find three equivalent ratios.

1. 2.

3.

1 3

__

12 60

__

9 4

__ 2 6

__ 3 9

__ 412

__ , ,18 8

__ 2712

__ 3616

__ , ,

630

__ 210

__ 1 5

__ , ,

Possible Answers:


Lesson Quiz: Part II

4. Fred is saving for a new sound system. The table shows some amounts he could save in different numbers of weeks. Predict the amount of his savings after 10 weeks. $125

15010050Savings

1284Weeks


1. Use a table to identify three equivalent

ratios of .

A. B.

C. D.




ratios of .

A. B.

C. D.



4. A grocery store sells eggs in crates. The following table shows the prices of some crates. Predict how much Lee will pay for a crate of 18 eggs at the rate shown in the table.

A. $2.75 B. $3.00

C. $3.25 D. $3.50


7-2 ratio and rate problems warm up warm up lesson presentation lesson presentation problem of the...

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