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2. Number Theory 2.1. Fractions 2.1.7. Working with Rates

Liberal Arts Math. 2. Number Theory 2.1. Fractions 2.1.7. Working with Rates. Objectives. By the end of this lesson, you Know the definition of a rate Can solve problems using rates. Video: Unit Rates. Rate. A rate is a fraction that compares two things with different units

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2. Number Theory 2.1. Fractions 2.1.7. Working with Rates

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  1. Liberal Arts Math 2. Number Theory 2.1. Fractions2.1.7. Working with Rates

  2. Objectives • By the end of this lesson, you • Know the definition of a rate • Can solve problems using rates

  3. Video: Unit Rates

  4. Rate • A rate is a fraction that compares two things with different units • Examples: • 50 mph • 2 teaspoons per 12 ounces • 5 apples for $3

  5. Rate • A rate is a fraction that compares two things with different units • Examples: • 50 mph • 2 teaspoons per 12 ounces • 5 apples for $3

  6. Rate • Examples: • 50 mph • I drive 50 miles in 1 hour • In 1 hour I drive 50 miles • 2 teaspoons per 12 ounces • Add 2 teaspoons mix to 12 ounces of water • Every 12 ounces of water needs 2 teaspoons of mix • 5 apples for $3 • I can buy 5 apples for $3 • You need $3 to buy 5 apples

  7. Rate • Examples: • 50 mph • I drive 50 miles in 1 hour • In 1 hour I drive 50 miles • 2 teaspoons per 12 ounces • Add 2 teaspoons mix to 12 ounces of water • Every 12 ounces of water needs 2 teaspoons of mix • 5 apples for $3 • I can buy 5 apples for $3 • You need $3 to buy 5 apples

  8. Questions you can answer with rates • Examples: • 50 mph • How far can I drive in 7 hours? • How long will it take to drive 430 miles? • 2 teaspoons per 12 ounces • How many teaspoons do I add to 48 ounces of water? • How many ounces of water do I need for 10 teaspoons? • 5 apples for $3 • How much will 8 apples cost? • How many apples can I buy with $13?

  9. Questions you can answer with rates • Examples: • 50 mph • How far can I drive in 7 hours? • How long will it take to drive 430 miles?

  10. Questions you can answer with rates • Examples: • 50 mph • How far can I drive in 7 hours? • How long will it take to drive 430 miles?

  11. Questions you can answer with rates • Examples: • 50 mph • How far can I drive in 7 hours? • How long will it take to drive 430 miles?

  12. Questions you can answer with rates • Examples: • 50 mph • How far can I drive in 7 hours? • How long will it take to drive 430 miles?

  13. Questions you can answer with rates • Examples: • 2 teaspoons per 12 ounces • How many teaspoons do I add to 48 ounces of water? • How many ounces of water do I need for 10 teaspoons?

  14. Questions you can answer with rates • Examples: • 2 teaspoons per 12 ounces • How many teaspoons do I add to 48 ounces of water? • How many ounces of water do I need for 10 teaspoons?

  15. Questions you can answer with rates • Examples: • 2 teaspoons per 12 ounces • How many teaspoons do I add to 48 ounces of water? • How many ounces of water do I need for 10 teaspoons?

  16. Questions you can answer with rates • Examples: • 5 apples for $3 • How much will 8 apples cost? • How many apples can I buy with $13?

  17. Worksheet: Working With Rates

  18. Summary Review • Do you think you, • Know the definition of a rate? • Can solve problems using rates?

  19. Liberal Arts Math Any Questions?

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