1. Measurement and Dimensional Analysis
Unit 1

2. Making Measurements
Length - the distance between any two points (m or cm)
Mass - the quantity of matter in an object (kg or g)
Volume - a measure of space, in cubic units (m3 or cm3)
Weight - the force with which gravity pulls on a quantity of matter (measured in Newtons)
Temperature - the degree of hotness or coldness of a body or environment (measured in Celsius or Kelvin)

3. Units of Measurement
Scientists use the International System of Units (SI) for consistency
Quantity
Unit
Abbreviation
Length
meter m
Mass
kilogram kg
Time
second s
Temperature
kelvin K
Electric Current
ampere A
Amount of substance
mole
mol

4. SI Prefixes for large measurements
1 km = 1,000 m
Prefix
Symbol
Meaning
Multiple of base unit
kilo- k
thousand
1,000
mega- M
million
1,000,000
giga- G
billion
1,000,000,000

5. SI Prefixes for small measurements
Symbol
Meaning
Multiple of base unit
deci- d
tenth
0.1
centi- c
hundredth
0.01
milli- m
thousandth
0.001
micro- μ
millionth
nano- n
billionth
1 centimeter = 0.01 meters

6. Calculating Volume of a Box
Measure the length.
Measure the width.
Measure the height.
Calculate the volume
V = l * w * h
Units3 (cm3, m3, etc)

7. Calculating Volume of a Box
Practice Calculation!
What is the volume of this box?
V = l * w * h

8. Reading a Graduated Cylinder
Always look at the graduated cylinder at eye-level (not above it or below).
Always measure the volume from the BOTTOM of the menicus (the curved surface of the liquid)

9. Warm Up
Open up to page 12 in your notebook, and answer the following question IN COMPLETE SENTENCES:
How can this information be used in everyday life?
What types of measurements will I be using in my future jobs?

10. Key Conversion Factors
1 cm = 10 mm
1 m = 100 cm
1 m = 1000 mm
1 km = 1000 m
*The base unit (meters) can be changed to other units (grams, liters, etc). Prefixes remain the same (centi-, milli-, kilo-)

11. Dimensional Analysis
So, how do we know how many meters are in 4.6 kilometers?
We use dimensional analysis to convert from one unit to another!

12. Dimensional Analysis Write down what you know, with units.
Set up a T-chart.
Fill in the units FIRST, making sure that given units cancel out.
Add your key conversion factor into your T- chart.
If necessary, continue steps 3 and 4 until you reach your desired answer.

13. Practice # 1 So, how do we know how many meters are in 4.6 kilometers?
Write down what you know, with units.
Set up a T-chart.
Fill in the units FIRST, making sure that given units cancel out.
Add your key conversion factor into your T- chart.

14. Practice Convert 13 cm to m. Convert 1.7 m to mm. Convert 16 cm to mm.
Convert 1987 km to m.
Convert 98 m to cm.
Convert mm to m.
Convert 189 mm to cm.