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

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Presentation transcript:

Ratios and Unit Rate Reminder By: Mr. Menjivar

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

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

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

Objective  Review the meaning of equivalent rates, the meaning of a unit rate, and give examples

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

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

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.

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

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

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

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.

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

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 4 hours 22 pages / hour

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

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.

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? $ fl.oz $0.04 per fl.oz. $ fl.oz $0.05 per fl.oz. The 48 fl.oz. bottle is the better value.

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