Is Everybody Is Everybody Ready?Ready?

Then let’s begin!!!Then let’s begin!!!

What is a ratio?What is a ratio?

Write as a ratio in simplest form:Write as a ratio in simplest form:

1. 44 to 220 1. 44 to 220 1/51/5

2. 9 to 3002. 9 to 300 3/1003/100

3. 28 to 143. 28 to 14 2/12/1

What is a rate?What is a rate?

Comparison of two quantities with Comparison of two quantities with different unitsdifferent units

$60 for 2 books$60 for 2 booksRate is $30/1 bookRate is $30/1 book

13 pizzas for 104 people13 pizzas for 104 people1 pizza / 8 people1 pizza / 8 people

What is a unit rate?What is a unit rate?

A rate in which the denominator is 1 A rate in which the denominator is 1 is a unit rate.is a unit rate.

Travel 480 miles on 15 gallons of Travel 480 miles on 15 gallons of gas. Ask how many miles on 1 gallon gas. Ask how many miles on 1 gallon of gas?of gas?

Divide: 480 Divide: 480 ÷ 15 = 32miles / gallon÷ 15 = 32miles / gallon

Solve for Unit RateSolve for Unit Rate

Earn $720 in 40 hoursEarn $720 in 40 hours$18/hour$18/hour

2400 cookies from 15 pounds of 2400 cookies from 15 pounds of doughdough160 cookies/pound160 cookies/pound

A retailer purchased 15 washing A retailer purchased 15 washing machines for $3525. He sold them for machines for $3525. He sold them for $5,700. How much profit did he make $5,700. How much profit did he make per washing machine?per washing machine?$145/machine$145/machine

Let’s PlayLet’s Play

Bargain A OR

Bargain B

Let’s Go Bargain ShoppingLet’s Go Bargain Shopping

Tell which is the better bargain, A or Tell which is the better bargain, A or B. Round to the nearest cent, if B. Round to the nearest cent, if necessary.necessary.

A. 50 CD’s for $8.29 orA. 50 CD’s for $8.29 orB. 10 CD’s for $2B. 10 CD’s for $2

BA

A. 38 ounce bottle of mouthwash for $1.89A. 38 ounce bottle of mouthwash for $1.89B. 2-12 ounce bottles of mouthwash for B. 2-12 ounce bottles of mouthwash for $1.29$1.29

BA

A. 12 pack of pop for A. 12 pack of pop for $2.99$2.99B. $5.75 for 25 cans of B. $5.75 for 25 cans of sodasoda

BA

A. 2-6 ounce tubes of toothpaste for $4A. 2-6 ounce tubes of toothpaste for $4B. 1-10 ounce tube of toothpaste for B. 1-10 ounce tube of toothpaste for $2.99$2.99

BA

What is a proportion?What is a proportion?

Statement that two ratios or rates Statement that two ratios or rates are equal.are equal.

22 = = 1818

3 273 27

What is the equality test for What is the equality test for fractions?fractions?

Cross multiply:Cross multiply:

2 computers2 computers = = 120 computers120 computers

5 students 300 students5 students 300 students

2 x 300 = 5 x 1202 x 300 = 5 x 120

600 = 600600 = 600

Let’s PlayLet’s Play

Proportion OR

No Proportion

1. 1. 66 = = 1515 10 25 10 25

No Proportio

n

Proportion

2. 2. 2 1/3 2 1/3 = = 11 2/3 11 2/3 3 15 3 15

No Proportio

n

Proportion

3. 3. 33/ = / = 18.618.6 8 48.8 8 48.8

No

ProportionProportio

n

4. 4. 49 points 49 points = = 7 points 7 points 56 games 9 games 56 games 9 games

No Proportio

n

Proportion

Commercial Break:Commercial Break:

Solve the following:Solve the following:

(6.7 – 2.5)(6.7 – 2.5)22 – (3.2 – 1.1) – (3.2 – 1.1)22 ÷ 0.3÷ 0.3

2.942.94

Method for Solving EquationsMethod for Solving Equations

Find the cross productsFind the cross productsDivide each side of the equation by Divide each side of the equation by

the number multiplied by Nthe number multiplied by NSimplify the resultSimplify the resultCheck the answerCheck the answer

Solve the proportion:Solve the proportion:

1. 1. NN = = 22

15 515 5

2. N x 5 = 2 x 152. N x 5 = 2 x 15

3. N = 3. N = 2 x 152 x 15

55

4. N = 30/54. N = 30/5

5. N = 65. N = 6

6. Check6. Check

Your Turn:Your Turn:22 = = 1111

5 N5 N27.527.5

12 3/5 12 3/5 = = NN

100 5100 5

0.630.63N grams N grams = = 7.5 grams7.5 grams

200 liters 40 liters200 liters 40 liters3.753.75

Solve Word ProblemsSolve Word Problems

Gather the FactsGather the Facts

What Am I Asked to Do?What Am I Asked to Do?

How Do I Proceed?How Do I Proceed?

Key Points to RememberKey Points to Remember

In Class WorkIn Class Work

Additional Exercises 4.4 Form Additional Exercises 4.4 Form IIIIII

Practice Test Module 4Practice Test Module 4