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MEASUREMENT & DIMENSIONS

MEASUREMENT & DIMENSIONS. STEM Foundations. MEASUREMENT & DIMENSIONS. Essential Question for the Lesson: How do we use measurement in both the SI and English Standard measurement systems?. Measurement Background Over 20 billion measurements are made daily in the US.

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MEASUREMENT & DIMENSIONS

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  1. MEASUREMENT &DIMENSIONS STEM Foundations

  2. MEASUREMENT &DIMENSIONS Essential Question for the Lesson: How do we use measurement in both the SI and English Standard measurement systems?

  3. Measurement Background • Over 20 billion measurements are made daily in the US. • Old standard systems dates back to early monarchy of England (8th & 9th century) • King Henry I – nose to finger tip = yard • King Edgar- knuckle = inch • King Charles- royal foot = 1 foot

  4. Measurement Background • SI system is an international system based off of units of 10 • US is the only industrial nation not to use SI system as its standard system • Why? • Used world wide in science, engineering & trade

  5. International System (SI) • Developed by the French in the early 1800’s • Base unit is a meter • Smallest division is a millimeter • 10 mm=1 centimeter (cm) • 10 cm=1 decimeter (dm) • 10 dm = 1 meter

  6. PRACTICE SHEET • Complete the Metric Measurement Lab #1 handout for review

  7. READING A RULER • The red lines on these rulers are marked at 1/2, and 1 • The red marks on these rulers are at 1/4, 1/2, 3/4, and 1. (1/2 is the same as 2/4) • The red marks on these rulers are at 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, and 1. • The red marks on this ruler are at 1/16, 1/8, 3/16, 1/4, 5/16, 3/8, 7/16, 1/2, 9/16, 5/8, 11/16, 3/4, 13/16, 7/8, 15/16, and 1.

  8. DIVIDING FRACTIONS • In building/designing there will be several times you will need to determine half of a specific measurement. When dividing fractions by 2, we will multiply the fraction by the reciprocal of 2 which is ½. • Our numerator is multiplied by 1 and the denominator is multiplied by 2. Ex: What is half of 5/8? *Hint: Simply double the denominator. Answer=5/16

  9. DIVIDING FRACTIONS • Divide the following fractions in half: • ¾= • 1/8= • 5/16= • 7/8= • 1-11/16= 3/8 1/16 5/32 7/16 27/32

  10. ADDING FRACTIONS • Make sure the bottom numbers (the denominators) are the same (Least common denominator) • Add the top numbers (the numerators). Put the answer over the same denominator as in step 1 • Simplify the fraction Ex: What is ¼” +5/8”? *Hint: Find the least common denominator of each fraction. Answer=7/8” 8 is the LCD ¼=2/8 5/8=5/8

  11. ADDING FRACTIONS • Add the following fractions: • ½ +1/4= • 1/8+3/4= • 5/16+1/4= • 7/8+3/16+3/4= • 11/16+1/8+1/4= 3/4 7/8 9/16 29/16=1-13/16 17/16= 1-1/16

  12. Converting Decimals ½ = .5 ¼ = .25 ¾ = .75 1/8 = .125 3/8 = .375 5/8 = .625 7/8 = .875

  13. Converting Decimals 9/16 = .5625 11/16 = .6875 13/16 = .8125 15/16 = .9375 1/16 = .0625 3/16 = .1875 5/16 = .3125 7/16 = .4375

  14. PRACTICE SHEET • Complete the following practice sheet individually. Be sure to make your answers are recorded in feet and inches.

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