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Introduction to Measurement Developing Standard and Metric Measuring Skills Design and Modeling © 2011 Project Lead The Way, Inc. Why Learn to Measure? Valuable skill for a job Valuable skill for hobbies Valuable skill for every day life Measurement Systems Two types of measurement systems exist. – Standard (Customary) - Metric (SI or International System) Standard (Customary) System Inches Fractions The Whole Inch First Half Second Half ¼ ¾ 1/ 3/ 5/ 7/ 8 8 8 8 2 4 8 1/ 16 3/ 16 5/ 16 7/ 16 9/ 16 11/ 16 13/ 16 15/ 16 16 Steps in Using the Standard (Customary) System 1. Find out how many parts the inches are divided into. Count the spaces in 1 inch. This number will be the denominator. 2. Count the number of whole inches. Write down the number. 3. Count the number of spaces after the last whole inch. This number will be the numerator. 4. Reduce fraction, if necessary. Let’s Review 1 Count Step Whole 2 Inches Find Step Numerator 7 3 Find Step Denominator 16 1 Reduce Fraction, Step 4 If Necessary Let’s Practice What is the distance from the end of the ruler to A? What is the distance from the end of the ruler to B? What is the distance from the end of the ruler to C? What is the distance from the end of the ruler to D? What is the distance from the end of the ruler to E? ¼ in. 15/16 in. 1 ¾ in. 2 3/8 in. 3 1/16 in. Metric System International System of Units (SI) Millimeters and Centimeters Decimals 1 mm = 0.1 cm 5 mm = 0.5 cm 10 mm = 1 cm Steps in Using the Metric (SI) System 1. Count the number of whole centimeters (cm). These are the larger lines with numbers 2. Count the number of lines after the whole number. The smaller lines are millimeters (mm). 3. Put in correct terms. Since mm are 1/10th of a cm, if you measure 7 marks after 1 cm, the measure is 1.7 cm or 17 mm long. Let’s Practice What is the distance from the end of the ruler to A? What is the distance from the end of the ruler to B? What is the distance from the end of the ruler to C? What is the distance from the end of the ruler to D? What is the distance from the end of the ruler to E? 4 mm = 0.4 cm 19 mm = 1.9 cm 37 mm = 3.7 cm 63 mm = 6.3 cm 73 mm = 7.3 cm Converting from Standard to Metric Convert from: mile inch inch foot yard To: kilometer (km) millimeter (mm) centimeter (cm) meter (m) meter (m) Multiply by: 1.609347 25.4 2.54 0.3048 0.9144 Converting from Metric to Standard Convert from: kilometer (km) millimeter (mm) centimeter (cm) meter (m) meter (m) To: mile inch inch foot yard Multiply by: 0.6214 0.0394 0.3937 3.281 1.094 Let’s Practice You used a meter stick to measure your window for new shades. However, the shade packages list the measurements in English units. Luckily your cell phone has a calculator so that you can quickly convert your 81.3 cm by 91.4 cm window opening to English units. What size is your window using English units? Round to the nearest inch. 81.3 x .3937 = 32 in. 91.4 x .3937 = 36 in. Therefore, the window opening is 32 in. by 36 in. Image Resources Microsoft, Inc. (2008). Clip Art. Retrieved October 7, 2008, from http://office.microsoft.com/en-us/clipart/default.aspx