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Displaying Data and Graphing

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					          Sig Fig Warm Up
How many sig figs
  in:
• 2                 How many sig figs the answer:


• 2.0                • 2.00 × 5.0


• 0.2                • 10.000 ÷ 5.0


• 0.020              • 0.02 + 5.00


• 2.020              • 2.00 - 0.5

                     • 2.00 - 5.0
            Convert….
• 5 mm / day
    • to km / s
                   Calculator Tips
       • the “ans” button….               press: ‘2nd’, ‘-’

                • veeeeeery useful
on your calculator:
to solve:
            7           punch
                          in
                                3.14  562  4 1.2           then   7 / Ans
            2
3.14  56  4  1.2



       • the “EE” button        press: ‘2nd’, ‘comma’)

                • replaces “x10^”

                   on your calculator:

                                     5.12 x 1016 = 5.12e16
       Calculator Tips
• the “Math” button….

    • fraction / decimal converter
    • equation Solver!


• the “Apps” button….

    • check out “Sci Tools”

    • has as a “Sig Fig” and “Sci Notation” calculator
Displaying Data
 and Graphing
           Homework
           yep…right off the bat…




• buy   MULTI
        M U LTI          coloured pens!
• Before we begin graphing we must
  determine the variable types as either
  independent variables or dependent
  variables
        – Independent variables are the ones we can
          manipulate (x-axis)
        – Dependent variables are the ones that
          respond to the manipulation (y-axis)


• Example: A car drives at a certain speed,
  brakes and travels a certain distance before
  it comes to a full stop.
        – What are the two variables?
        – Which is independent and which is
          dependent?
Graphing Rules
– independent variable goes on x-axis and
  dependent goes on y-axis
– determine the range of both variables and
  label both axes accordingly
– decide whether the origin (0,0) is a valid
  data point
– plot data points
– draw a best fit straight line or smooth curve
  (do not do dot to dot)
– give graph and axes a clear title that tells
  what it represents
      Graph Types
   Linear (or direct) Relationships
– the dependent variable varies linearly**
  with the independent variable in the form:
                 y = mx + b

  ** if you double one, the other one doubles,
  if you triple one, the other one triples, etc.

  • b = y-intercept (where line crosses y-axis)
  • m = slope:
                rise y y f  yi
                         
                 run x x f  x i
   Graph Types
Linear Relationships   “directly proportional”

     y∝x




           y = kx
   Graph Types
Quadratic Relations
       y ∝ x2




                y = kx2



                          it’s (half) a parabola
   Graph Types
Inverse Relationships            “inversely proportional”

            y ∝ x-1




                      y = kx-1 = k x .
                                   1



                                                 asymptotic




if you double one, the other one halves,
if you third one, the other one triples, etc.
            Homework
• Graphing Worksheet




                       That’s it!

				
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posted:9/13/2012
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