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