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Ratios and Unit Rate Reminder

Ratios and Unit Rate Reminder. By: Mr. Menjivar. 03/31/11. 03/31/11. Observe, Question, Comment. Ratios and Unit Rates Reminder. Ratios and Unit Rate Reminder Reflection. Standard:. L. R. Standard.

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Ratios and Unit Rate Reminder

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  1. Ratios and Unit RateReminder By: Mr. Menjivar

  2. 03/31/11 03/31/11 Observe, Question, Comment Ratios and Unit Rates Reminder Ratios and Unit Rate Reminder Reflection Standard: L R

  3. Standard • AF 2.2:Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.

  4. 03/31/11 03/31/11 Observe, Question, Comment Ratios and Unit Rates Reminder Ratios and Unit Rate Reminder Reflection Standard: Objective: L R

  5. Objective • Review the meaning of equivalent rates, the meaning of a unit rate, and give examples

  6. 03/31/11 03/31/11 Observe, Question, Comment Ratios and Unit Rates Reminder Ratios and Unit Rate Reminder Reflection Standard: Objective: Vocabulary: L R

  7. Vocabulary • A ratio is a comparison between two numbers by division. • It can be written in three different ways: 5 to 2 5 : 2 5 2

  8. Vocabulary • A rate is a ratio that compares two quantities measured in different units. • The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.

  9. 03/31/11 03/31/11 Observe, Question, Comment Ratios and Unit Rates Reminder Ratios and Unit Rate Reminder Reflection Standard: Objective: Vocabulary: Notes/Example: L R

  10. Equal Ratios • When two ratios name the same number, they are equal. It’s like writing an equivalent fraction. 20 : 30 Equal Ratios: 80 : 120 2 : 3 10 : 15

  11. Ratios in Simplest Form • Ratios can be written in simplest form. • Divide both terms in the ratio by their GCF. Example: 12 to 8 3 to 2

  12. Using Unit Rates • You can find the missing terms of equal ratios. • Use the unit rate, and set it equal to another ratio. • Solve for what is missing by dividing or multiplying.

  13. Examples 150 heartbeats Rate: 2 minutes Unit Rate: 75 heartbeats per minute

  14. Find the Unit Rate Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?) 88 pages 22 pages / hour 4 hours

  15. Example Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline? x 8 25 miles = Unit Rate 8 gallons 1 gallon x 8 25 x 8 = 200. Joe’s car can go 200 miles on 8 gallons of gas.

  16. Comparing Unit Prices • Use division to find the unit prices of the two products in question. • The unit rate that is smaller (costs less) is the better value.

  17. Example Juice is sold in two different sizes. A 48-fluid ounce bottle costs $2.07. A 32-fluid ounce bottle costs $1.64. Which is the better buy? $2.07 $0.04 per fl.oz. 0.043125 48 fl.oz. $1.64 $0.05 per fl.oz. 0.05125 32 fl.oz. The 48 fl.oz. bottle is the better value.

  18. 03/31/11 03/31/11 Observe, Question, Comment Ratios and Unit Rates Reminder Ratios and Unit Rate Reminder Reflection Summarize: Standard: Objective: Vocabulary: Notes/Example: L R

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