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Topic: Graphing the
Changing Environment Seasons
Day/Night Time
Graphs
Parts of a Graph
• Variables – quantities that change
Shown on the X & Y Axis
X Axis – Independent Variable
Known in advance
Origin
Y Axis – Dependent Variable
Not known in advance.
Setting up a graph
Relationship between hours worked and pay
Independent Variable –
Working Hours
Dependent Variable –
Pay
Graphing – Hours worked & Paycheck
Time Worked (hours)
Pay (dollars)
28
14
21
7
1 2 3 4
When hours worked is low pay is low
When hours worked is high, pay is high
Direct Relationship
Direct Relationship Independent variable increases, the dependent variables increases
Indirect Relationship
X Axis
Y Axis
Temperature
Density
Independent variable increases, the dependent variables decreases
Cyclic (Cycle) Relationship
Time (hours)
Tid
es
Low
High
Independent variable increases, the dependent variables repeats, is predictable.
Constant Relationship
Travel from the Earth to the Moon
Mass
Independent variable increases, the dependent variables STAYS THE SAME
Non-Sense Graph
DO NOT PICK – NOT
POSSIBLE
Extrapolation
X Axis
Y Axis
Temperature
Density
To extend the line of the
graph beyond its endpoint.
Interpolation
X Axis
Y Axis
Temperature
Density
Fills in the gaps in a line graph, based on the data
already plotted
X Axis
Name that Relationship
Y Axis
Indirect Relationship
Name that Relationship
X Axis
Y Axis
Constant Relationship
Name the relationship
• The relationship between the amount you practice and your skill level
• The temperature change during a year
• The change in a person’s weight as they travel from the Earth to space.
Direct
Cyclic
Indirect
Rate of Change
How long it takes for a change to occur
Front Cover of your best friend!
Take out NOW! Rate of Change = Change in Field Value
Time
Do not forget to include your
UNITS!!!!!!!!!!! No Units, No
Credit!
How did the rate change?
Steep =
Fast
Gentle =
Slow
Equilibrium
• Balance between opposite forces
• Changing
Dynamic
Dynamic Equilibrium
Things are changing but there is no overall change.
FQ
Draw a graph showing the relationship between time studying and grade on a test
Test on Wed., 9/25!!
Study, Study, Study!
Example – Oceans are constantly evaporating, why is the ocean level remaining constant?
Car Shopping I want to buy a fast car.
1st Dealer
0 to 75 mph in 1 min
2nd Deal
0 to 30 mph in 20 sec
Which is the faster car?
75-0mph/60sec = 1.25 mph/sec
30-0mph/20sec = 1.5 mph/sec
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