The Rectangular Coordinate System

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3.1

• The Rectangular Coordinate System

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Objectives

• Parts of the rectangular coordinate system
• plotting ordered pairs (Points)
• Graphing a mathematical relationship
• Reading a step graph

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Quadrant II
Quadrant I
Origin
Quadrant III
Quadrant IV
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An Ordered Pair

• (x, y)
• The x-coordinate is 1st and tells us left or
  right movement
• The y-coordinate is 2nd and tells us up or down
  movement.

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Lets Practice graphing (plotting) some points.

• A (3, 5)
• B (-2, 7)
• C (-5, 0)
• D (6, -1)
• E (-4,-2)

Chalkboard activity
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What are the coordinates of each point?

• z ( , )
• y ( , )
• x ( , )
• w ( , )
• v ( , )
• u ( , )

Chalkboard activity
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Graphing a mathematical relationship
Number of CDs
Cost
0 1 3 5
0 12 36 60
(0, 0) (1, 12) (3, 36) (5, 60)
x
y
Chalkboard activity
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Graphing a mathematical relationship
Minutes from start of show
Attendance
-30 -10 0 10 60 70
0 100 200 200 200 50
What are the ordered pairs?
x
y
Chalkboard activity
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Step Graphs

• Step Graphs are graphs that have jumps that form
  steps.

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A Step Graph Example
Package weight
Cost to ship
0 to 1 1 to 2 2 to 3 3 to 4 4 to 6
3 4 6 8 11
x
y
Chalkboard activity
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More Examples.

• Page 145 35
• Page 146 41
• Page 146 40

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