240 likes | 375 Views
Is Everybody Ready?. Then let’s begin!!!. What is a ratio?. Write as a ratio in simplest form: 1. 44 to 220 1/5 2. 9 to 300 3/100 3. 28 to 14 2/1. What is a rate?. Comparison of two quantities with different units $60 for 2 books Rate is $30/1 book
E N D
Is Everybody Ready? Then let’s begin!!!
What is a ratio? • Write as a ratio in simplest form: • 1. 44 to 220 • 1/5 • 2. 9 to 300 • 3/100 • 3. 28 to 14 • 2/1
What is a rate? • Comparison of two quantities with different units • $60 for 2 books • Rate is $30/1 book • 13 pizzas for 104 people • 1 pizza / 8 people
What is a unit rate? • A rate in which the denominator is 1 is a unit rate. • Travel 480 miles on 15 gallons of gas. Ask how many miles on 1 gallon of gas? Divide: 480 ÷ 15 = 32miles / gallon
Solve for Unit Rate • Earn $720 in 40 hours • $18/hour • 2400 cookies from 15 pounds of dough • 160 cookies/pound • A retailer purchased 15 washing machines for $3525. He sold them for $5,700. How much profit did he make per washing machine? • $145/machine
Let’s Play Bargain A OR Bargain B
Let’s Go Bargain Shopping • Tell which is the better bargain, A or B. Round to the nearest cent, if necessary.
A. 38 ounce bottle of mouthwash for $1.89B. 2-12 ounce bottles of mouthwash for $1.29 B A
A. 2-6 ounce tubes of toothpaste for $4B. 1-10 ounce tube of toothpaste for $2.99 B A
What is a proportion? • Statement that two ratios or rates are equal. 2 = 18 3 27
What is the equality test for fractions? • Cross multiply: • 2 computers = 120 computers 5 students 300 students 2 x 300 = 5 x 120 600 = 600
Let’s Play Proportion OR No Proportion
1. 6 = 15 10 25 No Proportion Proportion
2. 2 1/3 = 11 2/3 3 15 No Proportion Proportion
3. 3/ = 18.6 8 48.8 No Proportion Proportion
4. 49 points = 7 points 56 games 9 games No Proportion Proportion
Commercial Break: Solve the following: (6.7 – 2.5)2 – (3.2 – 1.1)2÷ 0.3 2.94
Method for Solving Equations • Find the cross products • Divide each side of the equation by the number multiplied by N • Simplify the result • Check the answer
Solve the proportion: 1. N = 2 15 5 2. N x 5 = 2 x 15 3. N = 2 x 15 5 4. N = 30/5 5. N = 6 6. Check
Your Turn: • 2 = 11 5 N • 27.5 • 12 3/5 = N 100 5 0.63 • N grams = 7.5 grams 200 liters 40 liters • 3.75
Solve Word Problems • Gather the Facts • What Am I Asked to Do? • How Do I Proceed? • Key Points to Remember
In Class Work • Additional Exercises 4.4 Form III • Practice Test Module 4