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CCGPS Coordinate Algebra Day 2 (8-14-12)

CCGPS Coordinate Algebra Day 2 (8-14-12). UNIT QUESTION: Why is it important to understand the relationship between quantities? Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4 Today’s Question: How are unit conversions performed, and why is it important?

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CCGPS Coordinate Algebra Day 2 (8-14-12)

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  1. CCGPS Coordinate AlgebraDay 2 (8-14-12) UNIT QUESTION: Why is it important to understand the relationship between quantities? Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4 Today’s Question: How are unit conversions performed, and why is it important? Standard: MCC9-12.N.Q.1 and N.Q.2

  2. Measurement Words Pound Gram Meter Liter

  3. How would you measure this?

  4. Measurement Conversion Graphic Organizer

  5. Quantity- an exact amount or measurement

  6. A ratio is a comparison of two quantitites (numbers or measures). A ratio can be written three ways: 3:5 3/5 3 to 5 BACK

  7. Ratios are often expressed as fractions in simplest or as a decimal. BACK

  8. A ratio is the comparison of two numbers with the same units by division. A ratio may be written in three ways. What ratios can we form from the tiles above? 12 to 8 BACK

  9. Create as many ratios as possible. Write each ratio three different ways. BACK

  10. Simplest Form • Write the ratio 50 to 300 in simplest form. BACK

  11. Simplest Form • Write the ratio 60¢ per dozen in simplest form. BACK

  12. Look over the ratios you have written. Is there another way that you can write those ratios? The ratio illustrated here is four filled cells to ten total cells. The ratio shown here is twofilled cells to five total cells. What do you know about these two ratios? How can you prove your answer? BACK

  13. Proportion • An equation that sets two ratios equal to one another BACK

  14. Unit Rate A comparison of two measurements in which the second term has a value of 1 “How much for just 1?” BACK

  15. Unit Rate If it costs $78 for 13 sandwiches, What is the unit rate? BACK

  16. The cost of a 12-ounce box of Cheerios is $3.29. Publix brand Cheerios cost $4.89 for an 18-ounce box. Find the unit rate to find the better buy. BACK

  17. Mile per Gallon • M.P.G. stands for miles per gallon and is usually used for gas mileage in cars. BACK

  18. Unit Rate • If it takes 11 gallons to drive 250 miles, What is the unit rate or m.p.g.? BACK

  19. Solving Word Problems • Write problem as proportions: • Solve using cross multiplication. X=22.7 mpg BACK

  20. Measurements Problem Solving Using Conversion Factors

  21. Example 1 1. Bob studied for 2.5 hrs. How many minutes did he study for? Initial unit = hr. Final unit = _______ Multiply by: What you want What you have

  22. How many minutes are in 2.5 hours? Initial unit 2.5 hr Conversion Final factor unit 2.5 hr x 60 min = 150 min 1 hr cancel Answer (2 SF)

  23. Learning Check A rattlesnake is 2.44 m long. How long is the snake in cm? 1) 2440 cm 2) 244 cm 3) 24.4 cm

  24. Solution A rattlesnake is 2.44 m long. How long is the snake in cm? 2) 244 cm 2.44 m x 100 cm = 244 cm 1 m

  25. Example 2 How many seconds are in 1.4 days? Unit plan: days hr min seconds 1.4 days x 24 hr x ?? 1 day LecturePLUS Timberlake

  26. Solution Unit plan: days hr min seconds 1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min = 120,000sec

  27. Learning Check If the ski pole is 3.0 feet in length, how long is the ski pole in mm?

  28. Solution 3.0 ft x 12 in x 2.54 cm x 10 mm = 1 ft 1 in. 1 cm = 214.4 mm.

  29. Example 3 John Isner serves 140 miles per hour. How fast is that feet per second?

  30. Solution 140 miles x 5,280 ft. x 1 hr x 1 min = 1 hr 1 mile 60 min 60 sec. = 205.3 ft/sec.

  31. Why are unit conversions important?

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