MJ2 Ch 1.8 – Metric Measurements

Bellwork Identify if the sequence is arithmetic or geometric and name the next 3 numbers 1.2, 8, 32, 128… 2.0.5, 1.0, 1.5, 2.0… 3.3, 15, 75, 375… 4.3, 6, 9, 12…

Assignment Review No homework… Please note: If you were not here yesterday for the class activity you are to read text p. 34 & 35 and then complete text p. 36 # 12 – 23 This assignment will count as a test grade and is due next class…

Before we begin… Please take out your notebook and get ready to work… It is expected that you are familiar with the Customary Measurement System that we use in this country…. This system measures in Feet & inches, gallons & quarts, and pounds & ounces…to name a few. This customary system is mostly used in the United States. In other countries they use the Metric Measurement System…which, is what we will explore today…

Objective Students will convert metric units of length, capacity, and mass

Measurement Categories Like the customary system, in the metric system we can categorize measurements into the following: –Linear (length) Measurement –Liquid (capacity) Measurement –Weight (mass) Measurement

Linear Measurement

Vocabulary Please write down the following terms: In the metric system you need to know the what the following prefixes mean. PrefixMeaning in words Meaning in Numbers kilo-Thousands1,000 centi-hundredths0.01 milli-thousandths0.001

Linear Measurement In the metric system the meter (m) is the base unit. A meter is a little more than a yard…and we all know how long a yard is…don’t we?

Linear Measurement One kilometer is equivalent to 1,000 meters One meter is equivalent to 100 centimeters and 1,000 millimeters The metric prefix indicates the place value position of the measurement

Linear Measurement In the metric we can visually see the order of the measurement from largest to smallest with the following diagram Also listed are the abbreviations for each KilometersMetersCentimetersMillimeters (km)(m) (cm)(mm) In order to convert measurements in the metric system you need to know the relationship of each of the terms

Converting Linear Measurement To convert units from larger to smaller you multiply To convert units from smaller to larger you divide Here is what it looks like: (Please copy the diagram and use it to help you convert measurement)

Converting Linear Measurement KilometersMetersCentimetersMillimeters (km) (m) (cm) (mm) x 1000 x 100x 10  1000  100  10

Example 1 To convert from meters to centimeters you multiply because meters is bigger than centimeters 4.5 m = __?__cm Multiply4.5 x 100 = m = 450 cm

Example 2 To convert from meters to kilometers, you divide because meters is smaller then kilometers 2600 m = ? km Divide2600  1000 = 2.6 Therefore2600 m = 2.6 km

Your Turn In the notes section of your notebook convert the following measurements 1.550m = ? Km 2.3.7m = ? Cm Please make sure that you are writing the original problem so you can refer back to it.

Liquid Measurement

Vocabulary The liter (L) is the base measurement unit of liquids in the metric system One Kiloliter (kL) is equivalent to 1,000 liters One liter (L) is equivalent to 1,000 milliliters (mL)

Converting Liquid Measurement To convert units from larger to smaller you multiply To convert units from smaller to larger you divide Here is what it looks like: (Please copy the diagram and use it to help you convert measurement)

Converting Liquid Measurement The categories for liquid measurement, in order from largest to smallest are: KiloliterliterMilliliter (kL) (L)(mL) x 1000  1000

Example 1 To convert liters to milliliters you multiply by 1,000 because liters are larger than milliliters. 3.2 L = ? mL Multiply3.2 x 1,000 = 3200 Therefore 3.2 L = 3,200 mL

Example 2 To convert from liters to kiloliters you divide by 1,000 because liters is smaller than kiloliters 1,640 L = ? kL Divide1,640  1,000 = 164 Therefore 1,640 L = 164 kL

Your Turn In the notes section of your notebook convert the following measurements kL = ? L 2.8,800 mL = ? L Please make sure that you are writing the original problem so you can refer back to it.

Weight Measurement

Vocabulary In the metric system the gram (g) measures mass – the amount of matter in an object The base unit for mass is kilogram One kilogram (kg) is equivalent to 1, 000 grams (g) 1 gram (g) is equivalent to 1,000 milligrams (mg)

Converting Mass To convert units from larger to smaller you multiply To convert units from smaller to larger you divide Here is what it looks like: (Please copy the diagram and use it to help you convert measurement)

Converting Mass kilogramsgrams milligrams (kg) (g) (mg) x 1000  1000

Example 1 To convert from kilograms to grams you multiply by 1,000 because kilograms are larger then grams 8.43 kg = ? g Multiply8.43 x 1,000 = 8,430 Therefore 8.43 kg = 8,430 g

Example 2 To convert from milligrams to grams you divide by 1,000 because milligrams is smaller than grams 500 mg = ? g Divide500  1000 = 0.5 Therefore 500 mg = 0.5 g

Your Turn In the notes section of your notebook convert the following mass measurements g = ? mg 2.9,014 g = ? kg Please make sure that you are writing the original problem so you can refer back to it.

Summary In the notes section of your notebook summarize the key concepts covered in today’s lesson. Today we discussed: –How to convert larger units to smaller units in the metric system –How to convert smaller units into larger units in the metric system

Assignment Workbook p. 37 –Use your notes to help you with the conversions NOTICE: QUIZ TOMORROW ON CH 1.8 (CONVERTING METRIC MEASUREMENT)