Graphing
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Graphing
• Back in Caveman days, there was only one way to measure where you were. • NUMBER LINE
• There’s Trog the caveman. He usually hunted around number 6.
Then he would go home, which was at “0”
Nobody ever left the trail. You just didn’t do it!
• BUT…..One day, Trog gets crazy and LEAVES the path!!
NOBODY ever did this before!!!! It was TOTALLY CRAZY!!
• Now Trog is lost. He’s not on the number line. How do we tell where Trog is?
• Easy!! With TWO number lines! One will measure sideways…
The other will measure up and down!!!
• Where is Trog from his house?
Start Here…
6 sideways, 5 up !
•These two number lines put together is called The Coordinate Plane
The line that measures sideways is called the x-axis.
SIDEWAYS = X
Up and Down = Y
The line that measures up and down is called The y-axis.
Where the lines meet is called the Origin
When giving a position on the coordinate plane, you always say the X-axis first….
(8, 6) …then the Y-axis
Let’s Practice. Give the coordinates:
(4,10) (0,0)
(-2,2) a.
(-6,-4)
k.a
: T (4,-2) HE OR IG
IN
• The “COORDINATE PLANE” used to show how TWO THINGS ARE RELATED….
Let’s see how Hours of Daily Sunlight affects How Tall Plants Grow: Hours Sunlight per day
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Hours Sunlight per day
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5
3
7
9
12
16
20
This is the part YOU control.
This is what CHANGES AS A RESULT. Called the This shows WHAT HAPPENS
INDEPENDENT VARIABLE
Called the DEPENDENT VARIABLE
What you did here!! Hours Sunlight
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5
3
7
9
12
16
20
What happens here DEPENDS ON….
Hours Sunlight
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
All of the numbers from the INDEPENDENT VARIABLE are known as the DOMAIN All of the numbers of the DEPENDENT VARIABLE are known as the
RANGE
Hours Sunlight
0
2
4
6
8
10 12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
16
20
12
Numbers in the DOMAIN Numbers in the RANGE are graphed on the X-AXIS Are graphed on the Y-AXIS
Hours Sunlight
0
2
4
6
8
10
12
14
16
X
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Y
Each match up to form a COORDINATE PAIR that you can graph!
Hours Sunlight
0
2
4
6
8
10
12
14
16
X
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Y
LET’S GRAPH IT !!!!!!
• Back in Caveman days, there was only one way to measure where you were. • NUMBER LINE
• There’s Trog the caveman. He usually hunted around number 6.
Then he would go home, which was at “0”
Nobody ever left the trail. You just didn’t do it!
• BUT…..One day, Trog gets crazy and LEAVES the path!!
NOBODY ever did this before!!!! It was TOTALLY CRAZY!!
• Now Trog is lost. He’s not on the number line. How do we tell where Trog is?
• Easy!! With TWO number lines! One will measure sideways…
The other will measure up and down!!!
• Where is Trog from his house?
Start Here…
6 sideways, 5 up !
•These two number lines put together is called The Coordinate Plane
The line that measures sideways is called the x-axis.
SIDEWAYS = X
Up and Down = Y
The line that measures up and down is called The y-axis.
Where the lines meet is called the Origin
When giving a position on the coordinate plane, you always say the X-axis first….
(8, 6) …then the Y-axis
Let’s Practice. Give the coordinates:
(4,10) (0,0)
(-2,2) a.
(-6,-4)
k.a
: T (4,-2) HE OR IG
IN
• The “COORDINATE PLANE” used to show how TWO THINGS ARE RELATED….
Let’s see how Hours of Daily Sunlight affects How Tall Plants Grow: Hours Sunlight per day
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Hours Sunlight per day
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5
3
7
9
12
16
20
This is the part YOU control.
This is what CHANGES AS A RESULT. Called the This shows WHAT HAPPENS
INDEPENDENT VARIABLE
Called the DEPENDENT VARIABLE
What you did here!! Hours Sunlight
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5
3
7
9
12
16
20
What happens here DEPENDS ON….
Hours Sunlight
0
2
4
6
8
10
12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
All of the numbers from the INDEPENDENT VARIABLE are known as the DOMAIN All of the numbers of the DEPENDENT VARIABLE are known as the
RANGE
Hours Sunlight
0
2
4
6
8
10 12
14
16
Plant Height (inches)
0
1
1.5 3
7
9
16
20
12
Numbers in the DOMAIN Numbers in the RANGE are graphed on the X-AXIS Are graphed on the Y-AXIS
Hours Sunlight
0
2
4
6
8
10
12
14
16
X
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Y
Each match up to form a COORDINATE PAIR that you can graph!
Hours Sunlight
0
2
4
6
8
10
12
14
16
X
Plant Height (inches)
0
1
1.5 3
7
9
12
16
20
Y
LET’S GRAPH IT !!!!!!
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