Metric Measurement Ms. Crusenberry 8 - 2013

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

Chart Prefix Value Symbol Example Kilo One thousand K Kilometer Hecto One hundred H Hectometer Deka Ten Da Dekagram Deci One-tenth D Decimeter Centi One-hundreth C Centigram Milli One-thousandth M Milliliter

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?

Answers Deciliter Milligram 10 100 1000

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

Metric Ruler

Practice Practice Practice Measure each of the following line segments _____________________________________ _________________ ___________________________________________ ___________________________

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

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

Answers 396 m 6 m 23 cm

Measurements of Length 1 kilometer Equals 1000 meters 1 meter 100 centimeters 1 centimeter 10 millimeters 1000 millimeters

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

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

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

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

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

Practice Practice Practice 1a. 10 m = _____ cm 1b. 10 km = ______ m 2a. 30 mm = _____ cm 2b. 2 km = ______ m 3a. 2000 g = ______ kg 3b. 1000 m = _____ km 4a. 1 m = ______ cm 4b. 10 km = ______ m 5a. 2 L = _____ ml 5b. 5 L = _____ ml

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

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

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

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

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

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

Answers 1564 mm2 432 cm2 180 m2 300 km2

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?

Problem Solving Answers 27m + 35m + 28m + 39m = 139m2 8m x 7m = 56 4m x 5m = 20 3.5m x 4.5m = 15.75 56 + 20 + 15.75 = 91.75 m2

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

Practice Practice Practice Calculate the volume of the following rectangluar prisms 1. w = 6 cm, l = 12 cm, h = 4 cm 2. w = 8.7 cm, l = 8.2 cm, h = 7 cm

Answers 288 cm3 499.38 cm3

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?

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