Graphing

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Graphing
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Data Tables
Time (seconds) Distance (meters)


Dependent Variable
Independent Variable
Units
Straight lines drawn with a ruler
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Or like this.
Independent Variable
Straight lines drawn with a ruler
Time (seconds)
Distance (meters)
Units
Dependent Variable
4
Types of Graphs

• Bar Graph
• Comparison
• Line Graph
• Trend over time
• Circle Graph
• Parts of a whole

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Rules for Graphing

• You MUST use graph paper and a ruler!!!
• The independent variable is on the X-axis
• The dependent variable is on the y-axis
• DRY MIX
• DRY Dependent, Responding, Y-axis
• MIX Manipulated, Independent, X-axis

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The axes should be labeled with the measured
quantity and the unit in which it was measured.
Use Both!!!
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Scales on the axes should be appropriate for the
data, spread out as much as possible, and the
axis must be divided evenly giving each square
the same value.
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Title should be in Y-axis vs. X-axis format
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Is there a relationship between thumb length and
number of wins?

• Independent Variable?
• Thumb length
• Dependent Variable?
• Number of wins

Thumb Length (mm)
Number of Wins
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Is there a relationship between thumb length and
number of wins?
of wins vs. thumb length
Thumb length (mm) Number of Wins
0-15
16-30
31-45
46-60
of wins
Thumb Length (mm)
Use this if we are comparing the number of wins
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Is there a relationship between thumb length and
number of wins?
of wins vs. thumb length
Thumb length (mm) Number of Wins
0-15
16-30
31-45
46-60
of wins
Use this if we are looking for a trend in the
number of wins
Thumb Length (mm)
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Extrapolation

• Extrapo huh??
• Extrapolation using a graph to make an
  estimation outside the known range.
• Example please.

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Physical science students poured liquid into a
graduated cylinder and measured the mass of
several pre-determined volumes. Use your graph
to predict the mass of 23 mL of liquid

1. Draw a line of best fit a straight line that
   encompasses as many points as possible.
2. Draw a line up from 23 until it reaches the line
   of best fit.
3. Draw a line over to the y-axis and read the
   measurement.
4. The mass of 23mL of water is approximately 79.0
   grams.
5. Why doesnt the line of best fit go through the
   origin?
6. The container that holds the liquid has mass

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Interpolate

• So the opposite of extrapolate is.
• INTERPOLATE!
• using a graph to make an estimation within the
  known range
• This process is very similar to extrapolating.

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Physical science students poured liquid into a
graduated cylinder and measured the mass of
several pre-determined volumes. Use your graph
to predict the mass of 10 mL of liquid

• Draw a line of best fit
• Draw a line up from 10 until it reaches the line
  of best fit.
• Draw a line over to the y-axis and read the
  measurement.
• The mass of 10mL of water is approximately 61.0
  grams.

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Table of Contents09/07/07 Juiced Up Lab
page 1011

• Purpose To practice extrapolating data from
  graphs.
• Place graph on page 11

Height of Water (cm) Mass of Water (g)
2
4
6
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Barbie Bungee Jump Part 1

• Purpose To ensure a safe and thrilling jump,
  you will determine the relationship between the
  drop distance and the number of rubber bands to
  make the bungee cord.
• Materials Barbie, meter stick, rubber bands
• Procedure
• Use one rubber band to secure Barbies ankles
  together and to serve as a point of attachment.
  Use another rubber band to secure hair and arms
  (see teacher demonstration).
• Construct a bungee cord composed of 2 rubber
  bands and attach to Barbies ankles.
• Barbie will fall freely from a standing position,
  plunging head first. Test drop Barbie 3 times to
  practice taking measurements.
• Drop Barbie 3 times and record measurement
• Add a rubber band to your attached bungee cord.
  Drop Barbie three times and record the data.
• Repeat step 4 until you have a total of 6 rubber
  bands. Record data each time.
• Calculate the average of the data and record.

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Table of Contents 09/11/07 Barbie Bungee
Jump Page 12 13
of rubber bands Length of bungee (meters) Drop distance trial 1 (meters) Drop distance trial 2 (meters) Drop distance trial 3 (meters) Average (meters)
2
3
4
5
6
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Barbie Bungee Jump Part 2

• Analysis
• Graph your average drop height vs. number of
  rubber bands
• Use your line of best fit and predict how many
  rubber bands would be needed to allow Barbie a
  successful, yet thrilling, jump from the top of
  the bleachers (4.6 meters).
• Prediction ________________
• Result ___________________
• Conclusion
• How did you use your graph to make the prediction
  of the number of rubber bands for a jump from the
  bleachers?
• How did your result compare to your prediction?
• Why do you think the results turned out the way
  they did?
• Is the origin (0,0) a valid point (meaning will
  the line go through it)? Why/why not?