Mr. Alongi Math
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Formulas & graphing

Coordinate Plane Guide

The coordinate plane is a grid used to show exact locations. Every point has an address written as an ordered pair: (x, y).

Remember:Move along the x-axis first, then move along the y-axis. Think: “across, then up or down.”
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Why should I care?

Coordinates are used in maps, games, graphs, designs, construction plans, and GPS systems.

Know the parts

Coordinate Plane Vocabulary

x-axis

The horizontal line that moves left and right.

y-axis

The vertical line that moves down and up.

Origin

The center where both axes meet: (0, 0).

(-2, 4)

Ordered Pair

A point’s address. Move with x first, then y.

Sign patterns

The Four Quadrants

Quadrant I

Both the x-value and y-value are positive.

Example: (3, 2)

Quadrant II

The x-value is negative, but the y-value is positive.

Example: (-3, 2)

Quadrant III

Both the x-value and y-value are negative.

Example: (-3, -2)

Quadrant IV

The x-value is positive, but the y-value is negative.

Example: (3, -2)
x-axisy-axisorigin (0, 0)Quadrant IQuadrant IIQuadrant IIIQuadrant IV(3, 2)(-3, 2)(-3, -2)(3, -2)

Step by step

Plot the Point (-3, 2)

Step 1: Start

Begin at the origin, (0, 0).

Start at the center.

Step 2: Move x

The x-value is -3, so move 3 spaces left.

Move left 3.

Step 3: Move y

The y-value is 2, so move 2 spaces up.

Move up 2.

Step 4: Plot

Place a point at your final location.

Point: (-3, 2)

Try it

Plot a Point

Choose an x-value and y-value, then see where the point belongs.

Point: (2, 3)Move 2 right, then 3 up.
x-axisy-axisorigin (0, 0)Quadrant IQuadrant IIQuadrant IIIQuadrant IV(2, 3)

Watch out

Common Mistakes

  • Switching x and y. Always move x first.
  • Moving right for a negative x-value.
  • Calling a point on an axis part of a quadrant.

Quick reminder

Across, Then Up or Down

The doorway to every point is the origin. Start there, move across using x, and finish using y.

Your turn

10-Question Coordinate Practice

Type the coordinate-plane word, number, direction, or quadrant.

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