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WARM-UP

WARM-UP. Planner: Metric Conversion and Problem Solving. 21. 210 mm = _____ cm _____ mL = 0.0817 L 5.25 kg = _____ g 6,700 mg = _____ kg _____ m = 524 cm How many centimeters are in 0.58 meter?. 81.7. 5,250. 0.0067. 5.24. 58 cm. WARM-UP cont.

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WARM-UP

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  1. WARM-UP Planner: Metric Conversion and Problem Solving 21 • 210 mm = _____ cm • _____ mL = 0.0817 L • 5.25 kg = _____ g • 6,700 mg = _____ kg • _____ m = 524 cm • How many centimeters are in 0.58 meter? 81.7 5,250 0.0067 5.24 58 cm

  2. WARM-UP cont. Write the unit that you would use to measure each of the following. Then estimate the mass or capacity. • A can of soup • A rice cake • A picnic jug • A camera • An oak leaf Milliliter, 350 mL Gram, 2 g Liter, 2 L Kilogram, 0.5 kg Milligram, 5 mg

  3. TAKS WARM-UP D. ____ 2. Estimate the circumference of a circle with a radius of 26 inches. a. 75 inches c. 40 inches b. 100 inches d. 150 inches ____ 3. Janet drove 4.7 miles from home to work. At lunch, she drove 3.9 miles round-trip to a restaurant. She stopped to pick up groceries on her way home, which made the drive from work to her house a total of 7.1 miles. About how many miles did Janet drive? a. 14 miles c. 13.5 miles b. 16 miles d. 17 miles B.

  4. HAPPY PI DAY (3.14) Pi day is celebrated on March 14 at the Exploratorium in San Francisco (March 14 is 3/14). Pi was known by the Egyptians, who calculated it to be approximately (4/3)^4 which equals 3.1604. The earliest known reference to pi occurs in a Middle Kingdom papyrus scroll, written around 1650 BC by a scribe named Ahmes. He began the scroll with the words: "The Entrance Into the Knowledge of All Existing Things" and remarked in passing that he composed the scroll "in likeness to writings made of old." Toward the end of the scroll, which is composed of various mathematical problems and their solutions, the area of a circle is found using a rough sort of pi (3.14).

  5. OBJECTIVE • (Part I) You will become familiar with the metric system and how to convert units using it. • (Part II) You will be asked to recall the 4-step method to problem solving and apply it to solving problems involving the metric system.

  6. LAUCH: CHANGING METRIC UNITS (Part I) • To change from one unit to another within the metric system, you either multiply or divide by powers of 10 • 10, 100, 1000, 0.1, etc. • To change from a larger unitto a smaller unit, you need to multiply. • To change from a smaller unit to a larger unit, you need to divide.

  7. HOW TO MULTIPLY x 1,000 x 100 x 10 km m cm mm ÷ 1,000 ÷ 100 ÷ 10 DIVIDE

  8. EXAMPLES • 345 mL = _______ L • Remember, 1 liter = 1,000 milliliters • Or 1,000 milliliters = 1 L • So, we divide by 1,000 to convert to liters. • Answer: 345 ÷ 1000 = 0.345 • 0.9 cm = _______ mm • Remember, 1 cm = 10 mm • So, we multiply by 10 to convert to milliliters • Answer: 0.9 x 10 = 9 0.345 9

  9. EXAMPLES • 0.45 g = _____ mg • 8,960 m = _____ km • A chemistry experiment requires 3.05 grams of 3% hydrogen peroxide to produce one liter of oxygen. If a scientist wanted 24 liters of oxygen, how many kilograms of hydrogen peroxide will she need? 450 8.96 0.0732

  10. EXPLORE • Make 2 pairs of cards with equivalent metric measurement units on them. Example: 500 mL and 0.5 L (do not use) • Ensure you have different numbers than the people sitting around you. • Play “Concentration” with your table, matching equivalent measures. • When you have completed one game, exchange your sets of cards with another group.

  11. SUMMARIZE Whether it’s meters, liters, or grams: • Kilo – anything means thousand (1,000) • The plain unit means one (1) • Centi – anything means hundredth (0.01) • Milli – anything means thousandth (0.001)

  12. METRIC CONVERSION PROBLEM SOLVING (Part II) • Recall your problem solving methods. • Whether you’re going to break it down into steps . . . • Or, if you’re going to draw a picture . . . • Always remember . . . Slow down and read the problem carefully!

  13. LAUNCH: EXAMPLE • A can holds 355 milliliters of soft drink. How many cans would equal 2 liters? 2 liters 355 milliliters How can we get these two values to “speak the same language” or be compatible with each other? How many milliliters are in 2 liters? 2 L = 2,000 mL

  14. EXAMPLE 2,000 mL = 2 L So, how many cans of 355 mL can fit in 2,000 mL? ? 355 2,000 ANSWER: About 5.6 cans

  15. EXAMPLE • Tyra exercises every morning by running twice around a rectangular neighborhood. The route she takes is 5.2 kilometers long for one circuit. How many meters does she run in total? ANSWER: 10,400 meters

  16. EXAMPLE • Rashid cut a ribbon into 5 equal pieces. If each piece was 24 centimeters long, how long was the ribbon in meters before he cut it? ANSWER: 1.2 meters

  17. EXPLORE • Create three word problems involving converting metric units. • One problem should involve length, one should involve mass, and the other should involve capacity. • Ensure your word problems are reasonable and try to make them about things that interest you.

  18. SUMMARIZE • The circumference of the Earth is about 40,000 kilometers. How many meters is it around the Earth? ANSWER: 40,000,000 meters

  19. PRACTICE • WORKSHEET • 4-9 PRACTICE INTEGRATION: MEASUREMENT CHANGING METRIC UNITS • TAKS Convert within the Metric System (Quiz)

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