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Section 2.2: Rate, Unit Rate, and Unit Price

Section 2.2: Rate, Unit Rate, and Unit Price. Objectives:. I can define what a rate, unit rate, unit price is. I can express rates, unit rates, and unit price using words and symbols. I can identify, describe, and record rates from real-life examples. I can solve problems using rates. Rate.

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Section 2.2: Rate, Unit Rate, and Unit Price

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  1. Section 2.2:Rate, Unit Rate, and Unit Price

  2. Objectives: • I can define what a rate, unit rate, unit price is. • I can express rates, unit rates, and unit price using words and symbols. • I can identify, describe, and record rates from real-life examples. • I can solve problems using rates.

  3. Rate • What is a rate? • A rate is a comparison between two quantities measured in different units of measurement. • What is an example of a rate? • You ran 5 miles in 2 hours. A rate to represent you running would be 5 miles or 5 miles per 2 hours 2 hours • 5 apples cost $2.00. A rate to represent the cost of the apples would be $2.00 5 apples • REMEMBER – ALWAYS put money in the numerator! • Notice:A rate can be written as a fraction only!

  4. Rate • More examples of a rate? • You paid $1.69 for a 100 gram of sugar. A rate to represent your case $1.69 or $1.69 per 100 gram 100 g • Your heart beats 72 beats every one minute. A rate to represent your heart beating would be: 72 beats or 72 beats per minute min • REMEMBER – ALWAYS put money in the numerator!

  5. Unit Rate • What is a unit rate? • A unit rate is a rate in which the second term is one . • What is an example of a unit rate? • You ran 20 km in one hour. A unit rate to represent you running is 20 km or 20 km per hour! h • How do we find unit rate? • 1st: Set up a unit rate • 2nd: Divide by the denominator • 3rd: Write your answer in word form (the numerator PER the denominator).

  6. Unit Rate • Another example of a unit rate. • A car drives 30 miles on 10 gallons. To write a unit rate follow the three step. • 1st: Set up a rate 30 miles 10 gallons • 2nd: Divide by the denominator 30 miles ÷ 10 = 3 miles 10 gallons ÷ 10 1 gallon • 3rd: Write in word form 3 miles per gallon

  7. Unit Rate • Your turn. • Heba earns $78.00 for working 6 hours at Tim Hortons. Determine the unit rate for this situation. • 1st: Set up a rate $78.00 6 hr • 2nd: Divide by the denominator $78.00 ÷ 6 = $13.00 6 hr ÷ 6 1 hr • 3rd: Write in word form $13.00 per hour

  8. Show You Know • In your binder, do Show You Know questions on page 57. • Show All your work! • Answers: • A) 6 m per 1 s • B) $11 per 1 h • C) $1.8 per can

  9. Remember the Key Words • Rate: • A rate is a comparison between two quantities measured in different units of measurement. • Example: 100 words or 100 words per 5 min 5 min • Unit Rate: • A unit rate is a rate in which the second term is one . • Example: 15 km or 15 km per 1 hour 1 hr

  10. Unit Price • What is a unit price? • A unit price is a unit rate that makes it easier to compare the cost of similar items. • Often used when shopping • Usually shown per 100g or 100 mL • What is an example of a unit rate?

  11. Unit Price • How do we find unit price? • 1st: Set up a unit price formula. • 2nd: Divide cost by the volume. • 3rd: Write your answer in word form (the numerator PER the denominator).

  12. Homework • Page 60 • Questions: 4, 5, 6 • Page 61 • Questions: 10, 11, and 13

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