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Transparency 1. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 1-4b. Objective. Express ratios as fractions in simplest form and determine unit rates. Example 1-4b. Vocabulary. Ratio. A comparison of two numbers by division. Example 1-4b.

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-4b Objective Express ratios as fractions in simplest form and determine unit rates

  4. Example 1-4b Vocabulary Ratio A comparison of two numbers by division

  5. Example 1-4b Vocabulary Rate A comparison of two quantities with different types of units

  6. Example 1-4b Vocabulary Unit Rate When a rate is simplified so it has a denominator of 1

  7. Example 1-4b Vocabulary Math Symbols Approximately equal to 

  8. Lesson 1 Contents Example 1Write Ratios in Simplest Form Example 2Write Ratios in Simplest Form Example 3Find a Unit Rate Example 4Compare Unit Rates

  9. Answer:The ratio = Example 1-1a Express 12 blue marbles out of 18 marbles in simplest form. Write rate as fraction Begin with numerator Put fraction bar Write denominator Put fraction in calculator and simplify 1/4

  10. Example 1-1b Express 5 blue marbles out of 20 marbles in simplest form. Answer: Ratio = 1/4

  11. Example 1-2a Express 10 inches to 2 feet in simplest form. Write rate as fraction Must have same unit in numerator as in denominator Convert to the smaller unit which is inches Convert 2 feet to 24 inches. Cancel like units 2/4

  12. Answer: The ratio = Example 1-2a Express 10 inches to 2 feet in simplest form. Put fraction in calculator and simplify 2/4

  13. Example 1-2b Express 14 inches to 2 feet in simplest form. Answer: 2/4

  14. Example 1-3a READINGYi-Mei reads 141 pages in 3 hours. How many pages does she read per hour? Write rate as fraction Find a unit rate Divide the numerator by the denominator 141 pages ÷ 3 3 hours ÷ 3 Divide the denominator by the denominator 47 pages 1 hour Answer: Yi-Mei reads an average of 47 pages per hour 3/4

  15. Example 1-3b TRAVEL On a trip from Columbus, Ohio, to Myrtle Beach, South Carolina, Lee drove 864 miles in 14 hours. What was Lee’s average speed in miles per hour? Answer: 61.71 miles per hour 3/4

  16. Example 1-4a SHOPPINGAlex spends $12.50 for 2 pounds of almonds and $23.85 for 5 pounds of jellybeans. Which item costs less per pound? By how much? Write a rate for each item Almonds: Find unit rates of each item Jellybeans: 4/4

  17. Example 1-4a SHOPPINGAlex spends $12.50 for 2 pounds of almonds and $23.85 for 5 pounds of jellybeans. Which item costs less per pound? By how much? ÷ 2 Divide numerator by denominator Almonds: ÷ 2 Divide denominator by denominator $6.25 1 pound 4/4

  18. Example 1-4a SHOPPINGAlex spends $12.50 for 2 pounds of almonds and $23.85 for 5 pounds of jellybeans. Which item costs less per pound? By how much? ÷ 5 Divide numerator by denominator Jellybeans: ÷ 5 Divide denominator by denominator $4.77 1 pound 4/4

  19. Example 1-4a Which item costs less per pound? By how much? Since the denominators are both the same (1 pound) then compare the numerators Almonds: Jellybeans: Since the denominators are both the same (1 pound) then subtract numerators Jellybeans cost less (Almonds) $6.25 – $4.77 (Jellybeans) $1.48 Answer: Jellybeans cost $1.48 per pound less than almonds 4/4

  20. Example 1-4b * SHOPPINGCameron spends $22.50 for 2 pounds of macadamia nuts and $31.05 for 3 pounds of cashews. Which item costs less per pound? By how much? Answer: Cashews cost $0.90 less than macadamia nuts 4/4

  21. End of Lesson 1 Assignment

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