Mrs. Sanford’s Amazing Metric Measurement

1. Mrs. Sanford’s Amazing Metric Measurement

2. Metric System • The metric system is based on a base unit that corresponds to a certain kind of measurement • Length = meter • Volume = liter • Weight (Mass) = gram

3. length is measured in meters • a football field

4. length is measured in meters • Distance to the neighbor’s house

5. length is measured in meters • length of a spool of twine

6. length is measured in meters • width of your bedroom

7. mass is measured in grams • weight of a bunch of grapes

8. mass is measured in grams • weight of a your dog

9. mass is measured in grams • weight of a bar of gold

10. volume is measured in liters • a beaker of solution

11. volume is measured in liters • a bottle of water

12. volume is measured in liters • paint in a bucket

13. Metric System • Prefixes plus base units make up the metric system • Example: • Centi + meter = Centimeter • Kilo + liter = Kiloliter • Milli + gram = Milligram

14. Metric System • So if you needed to measure length you would choose meter as your base unit • Length of a tree branch • 1.5 meters • Length of a room • 5 meters • Length of a soccer field • 100 meters

15. Metric System • But what if you need to measure a longer distance, like from your house to school?

16. Let’s say you live approximately 10 miles from school • 10 miles = 16093 meters • 16093 is a big number, but what if you could add a prefix onto the base unit to make it easier to manage: • 16093 meters = • 16.093 kilometers (or 16.1 if rounded to 1 decimal place)

17. Metric System • These prefixes are based on powers of 10. What does this mean?

18. From each prefix every “step” is either: • 10 times larger or • 10 times smaller • For example • Centimeters are 10 times larger than millimeters • 1 centimeter = 10 millimeters

19. Metric System Centimeters are 10 times larger than millimeters so it takes more millimeters for the same length 1 centimeter = 10 millimeters Example not to scale

20. Metric System • For each “step” to right, you are multiplying by 10 • For each “step” to the left, you are dividing by 10

21. Metric Conversion Mnumonic • King (kilo, 1,000) • Henry (hecto, 100) • Died (deka, 10) • Unexpectedly (Unit- 1 l, m, g) • Drinking (deci 1/10) • Chocolate (centi 1/100) • Milk (milli, 1/1,000)

22. To convert to a smaller unit, move decimal point to the right or multiply. Meter, Gram, Liter KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 To convert to a larger unit, move decimal point to the left or divide. MILLI0.001

23. How do you use the “ladder” method? 1st – Determine your starting point. 2nd – Count the “jumps” to your ending point. 3rd – Move the decimal the same number of jumps in the same direction.

24. 1 Starting Point Ending Point 2 4.0 km = 4000.0 m KILO1000 3 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 4000 4 km = _________ m How many jumps does it take?

25. 1 Starting Point Ending Point 2 45.0 g = 45000.0 mg KILO1000 3 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 45000 45 g = _________ mg How many jumps does it take?

26. 1 Starting Point Ending Point 2 3000.0 l = 30.0 hl KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 30 3000 l = _________ hl How many jumps does it take?

27. 1 Starting Point Ending Point 500.0 m= 50000.0 cm 2 KILO1000 HECTO100 DEKA10 Base Unit DECI0.1 CENTI0.01 MILLI0.001 50,000 500 m = _________ cm How many jumps does it take?

28. Try these on your own: 1000 mg = _______ g 1 l = _______ ml 160 cm = _______ mm 14 km = _______ m 109 g = _______ kg 250 m = _______ km