Metric Measurement: Understanding Units & Conversions

1. Metric Measurement Ms. Crusenberry 8 - 2013

2. Vocabulary • Customary – ordinary • Gram, g – measure of mass about equal to the weight of a paper clip • Liter, l – measure of capacity about equal to the capacity of a coffee can • Meter, m – measure of length about equal to the height of a doorknob • Metric system – a system of measuring using the gram and the meter as basic units • Prefix – set of letters placed before a unit of measuremt

3. Chart

4. Questions • What is one-tenth of a liter called? • What is one-thousandths of a gram called? • How many meters are in a dekameter? • How many liters are in a hectoliter? • How many grams are in a milligram?

5. Answers • Deciliter • Milligram • 10 • 100 • 1000

6. Length • Centimeter, cm – a measure of length about equal to the width of a large paper clip • Millimeter, mm – measure of length about equal to the width of the wire in a paper clip

7. Metric Ruler

8. Practice Practice Practice • Measure each of the following line segments____________________________________________________________________________________________________________________________

9. The Best Unit • Meters – used to measure things such as material for a dress, the width of your yard or the height of a building • Centimeters – used to measure smaller things such as desktops and picture frames • Millimeters – used to measure small things such as nuts, bolts an film • Kilometers – used to measure long distances

10. Choosing the Best Unit • Kilometer, km – a distance of 1000 meters, or a little more than a half a mile 1. height of a building – 396 mm 396 cm 396 m 396 km 2. length of your classroom 6 mm 6 cm 6 m 6 km 3. length of your foot 23 mm 23 cm 23 m 23 km

11. Answers • 396 m • 6 m • 23 cm

12. Measurements of Length

13. Conversion – Centimeters/Meters • Conversion factor – the number you multiply by to change to another unit of measure • Rule – to change meters to centimeters, MULTIPLY by 100 to move the decimal point 2 places to the right ex – 5.2 m = 520 cm • Rule – to change centimeters, DIVIDE by 100 or move the decimal point 2 places to the left. ex – 63 cm = .63 m

14. Conversion – Grams/Liters • 1000 g = 1 kg • .25 L – 250 ml • .50 L = 500 ml • .75 L = 750 ml • 2.75 L = 2750 ml

15. Converting Using Proportions cm = cm Ex. How many millimeters is 10 cm? mm mm 1 = 10 10 = x 1x = 100 (divide each side by 1) X = 100mm

16. Another Way Large to small – MULTIPLY • meters is bigger than centimeter and millimeter • centimeter is bigger than millimeter • kilometer is bigger than meter • gram is bigger than kilogram Small to large – DIVIDE • centimeters and millimeters are smaller than meters • millimeters are smaller than centimeters • meters are smaller than kilometers • kilograms are smaller than grams

17. The Best Way!!!!! K(kilo) H (hecto) D (deka) 1 (m, g, l) D (deci) C (centi) M (milli) move decimal to the left move decimal to the right Example: 10 m = _________ mm * I am moving to the right, and I moved 4 to the right, so I need to move my decimal 4 places to the right 10. 0 0 0 0 which equals 100,000

18. Practice Practice Practice • 1a. 10 m = _____ cm1b. 10 km = ______ m2a. 30 mm = _____ cm2b. 2 km = ______ m3a. 2000 g = ______ kg3b. 1000 m = _____ km4a. 1 m = ______ cm4b. 10 km = ______ m5a. 2 L = _____ ml5b. 5 L = _____ ml

19. Answers 1a. 1000 1b. 1000 2a. 3 2b. 2000 3a. 2 3b. 100 4a. 10 4b. 1000 5a. 2000 5b. 5000

20. Different Increments • Addition – convert all measurements to the same unit ex: .34 km + 63 m + 428 cm 340 m + 63 m + 4.28 m = 407.28 m

21. Practice Practice Practice • 64 m + 168 cm + 12 m = _____ m • 58 mm + 8 cm + 37 mm = _____ mm • 18 km + 7 km + 4380 m = _____ km

22. Answers ***Hint – use proportions • 77.68 cm • 175 mm • 29.38 km

23. Area • The amount of space inside a shape • Measured in square units • cm2 – square centimeter • km2 – square kilometer • Length, l – distance from end to end • m2 – square meter • mm2 – square millimeter • Square unit – a measure of area • Width, w – the distance across • Formula is A = l x w

24. Practice Practice Practice • Rectangle 1 – l = 46 mm, w = 34 mm • Rectangle 2 – l = 24 cm, w = 18 cm • Rectangle 3 – l = 15 m, w = 12 m • Rectangle 4 – l = 20 km, w = 15 km

25. Answers • 1564 mm2 • 432 cm2 • 180 m2 • 300 km2

26. Problem Solving • You want to fence in your yard. You measured the property and found that its sides were 27m, 35m, 28m, and 39m. How many meters of fence will you need? • You are carpeting three rooms. They measure 8 m by 7m, 4m by 5m, and 3.5m by 4.5m. How many square meters of carpet do you need?

27. Problem Solving Answers • 27m + 35m + 28m + 39m = 139m2 • 8m x 7m = 564m x 5m = 203.5m x 4.5m = 15.7556 + 20 + 15.75 = 91.75 m2

28. Volume • Volume – number of cubic units that fill a container • Measured with cubic units • Most commonly seen as the unit with a superscript number 3 - (mm3) • V = l x w x h • cm3 – cubic centimeter • Cubic units – units used to measure volume • m3 – cubic meter • mm3 – cubic millimeter

29. Practice Practice Practice • Calculate the volume of the following rectangluar prisms1. w = 6 cm, l = 12 cm, h = 4 cm2. w = 8.7 cm, l = 8.2 cm, h = 7 cm

30. Answers • 288 cm3 • 499.38 cm3

31. Problem Solving • A rectangular cake pan measures 20 cm by 15 cm by 8 cm. What is its volume? • How much dirt is needed to fill in a hole that measures 4 meters by 3.2 meters by 3 meters?

32. Problem Solving Answers • 20 x 15 x 8 = 2400 cm3 • 4 x 3.2 x 3 = 38.4 m3