Activity 1.3.1 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form of inches, pounds, hours, cups, meters, grams, liters, etc. Standard or Customary units are usually written with fractions or mixed fractions. Metric or SI (International System of Units) values are written as decimals or mixed decimals.

When measuring length in the customary system, the common tools are rulers, yardsticks, and tape measures; the common units are inches, feet, and yards. It is important that you are able to convert between these. Make sure you show your units. 1 foot (ft) = 12 inches (in.) 1 yard (yd) = 36 inches (in.) = 3 feet (ft)

The metric system is the most widely used system of measurement in the world. The United States is the only major country that still has a limited use of this system of measurement. Most U.S. businesses have converted to this system due to the fact that they are competing in a global market that is based on the metric system. The metric system is based on powers of ten. The chart below shows the units of the metric system; meters are used to measure length.

Thousands Hundreds Tens Basic unit Tenths Hundredths Thousandths

3 2 1 0 -1 -2 -3 Power of 10 10 10 10 10 10 10 10

Multiplier 1000 100 10 1 .1 .01 .001

Prefix Kilo Hecto Deca UNIT Deci Centi Milli

Pnemonic King Henry Died Unexpectedly Drinking Chocolate Milk Abbreviations: km hm dam m (meter) dm cm mm Length

Mass kg g mg (gram) Volume kL L mL (liter)

Project Lead The Way, Inc. Copyright 2010 GTT – Unit 1 – Lesson 3 – 1.3.1 – English and Metric Measuring – Page 1 Converting metric measurements can be done by multiplying or dividing by 10, 100, 1000, and so on. Follow these steps: 1. Count the number of zeros in the number you are multiplying or dividing by. 2. If you are multiplying, move the decimal to the right that number of places. 3. If you are dividing, move the decimal to the left that number of places. 4. Don’t forget to include units. Occasionally you may need to convert from English to Metric units or vice versa. The conversion chart for this is below.

Convert from: To: Multiply by: mile kilometer 1.609347 km/mi inch millimeter 25.4 mm/in. inch centimeter 2.54 cm/in. foot meter .3048 m/ft yard meter .9144 m/yd kilometer mile .6214 mi/km millimeter inch .0394 in./mm centimeter inch .3937 in./cm meter foot 3.281 ft/m meter yard 1.094 yd/m

Equipment GTT notebook Measuring devices (ruler, metric ruler, yard stick, meter stick, tape measure)

Procedure In this activity you will have a chance to practice your Metric and English measuring skills.

1. Complete the English and Metric measurement questions in this activity. 5. Complete the “Educated Guess” columns of the chart. 6. Obtain several measuring devices from your instructor and complete the actual measurement section of the chart. 7. Complete the conclusion questions and turn in to your instructor for grading.

Project Lead The Way, Inc. Copyright 2010 GTT – Unit 1 – Lesson 3 – 1.3.1 – English and Metric Measuring – Page 2 1. Does the ruler on the left measure in Metric or English units? Meteric=cm 8. What units would you use? cm 9. What is the distance from the end of the ruler to each point? Don’t forget to include units. A.4mm

B.1.9cm

C.3.7cm

D.6.3

E.7.3

10.What is the equivalent of measurement C in inches? Show all work, round answer to nearest tenth. 3.7cm

11.Does the ruler on the left measure in Metric or English units? English

12.What units would you use? In.

13.What is the distance from the end of the ruler to each point? Don’t forget to include units. A.1/4in

B.7/8in

Project Lead The Way, Inc. Copyright 2010 GTT – Unit 1 – Lesson 3 – 1.3.1 – English and Metric Measuring – Page 3 C.1 7/8

D.2 4/16

E.2 4/8

14.What is the equivalent of measurement C in millimeters? Show all work, round answer to nearest tenth. 41.75 mm

15.

16.Complete the chart below by entering an educated guess of the length of each object in the units provided. Then obtain the proper measuring tool: ruler, metric ruler, yard stick, meter stick, or tape measure. Record the correct measurement in the chart. Don’t forget to include units.

Item Educated Educated Actual English Actual Metric Guess - English Guess - Metric Measurement Measurement Notebook 11in. 22cm 10 7/8in 27.5cm Desk 6.6ft 600.6m Door 7yd 700m Pencil 7in. 14mm Cabinet 3ft 1m Window 90in. 105cm Bulletin Board 1yd 1m 1yd .91m

Conclusion 1. Which measurement system is easier for you to use? Why? I can’t I’m not good at measuring stuff.

2. Convert the length of a 2 ft 6 in. desk to each of the following. Show your equations and math. __30in______inches (in.)

Project Lead The Way, Inc. Copyright 2010 GTT – Unit 1 – Lesson 3 – 1.3.1 – English and Metric Measuring – Page 4 ______.833333yd______yards (yd)

______.762m______meters (m)

__6.6cm______centimeters (cm)

17.Convert the length of a 4.5 meter bulletin board to each of the following. Show your equations and math. a. ____450cm______centimeters (cm)

_____4500dec______decameters (dam)

___14.7ft______feet (ft)

___4.9yd______yards (yd)

4. List four ways that you have used measurement in your life and identify the units that you used. For example, I drove 7 miles to get to school today – English units. I don’t now how to explane it.

Project Lead The Way, Inc. Copyright 2010 GTT – Unit 1 – Lesson 3 – 1.3.1 – English and Metric Measuring – Page 5