MEASUREMENT & DIMENSIONS STEM Foundations. MEASUREMENT & DIMENSIONS Essential Question for the...
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Transcript of MEASUREMENT & DIMENSIONS STEM Foundations. MEASUREMENT & DIMENSIONS Essential Question for the...
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.
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
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
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
PRACTICE SHEET
Complete the Metric Measurement Lab #1 handout for review
READING A RULERThe 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.
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
DIVIDING FRACTIONS
Divide the following fractions in half:
1.¾=
2.1/8=
3.5/16=
4.7/8=
5.1-11/16=
3/8
1/16
5/32
7/16
27/32
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=2/85/8=5/8
ADDING FRACTIONS
Add the following fractions:
1.½ +1/4=
2.1/8+3/4=
3.5/16+1/4=
4.7/8+3/16+3/4=
5.11/16+1/8+1/4=
3/4
7/8
9/16
29/16=1-13/16
17/16= 1-1/16
Converting Decimals
½ = .5
¼ = .25 ¾ = .75
1/8 = .125
3/8 = .375
5/8 = .625
7/8 = .875
Converting Decimals
1/16 = .0625
3/16 = .1875
5/16 = .3125
7/16 = .4375
9/16 = .5625
11/16 = .6875
13/16 = .8125
15/16 = .9375
PRACTICE SHEET
Complete the following practice sheet individually. Be sure to make your answers are recorded in feet and inches.