Coordinate Plane

Grade 5 Mathematics

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The Big Idea

A coordinate plane is like a map that uses two number lines to describe exact locations!

We use ordered pairs written as (x, y) to tell someone exactly where a point is located.

Parts of the Coordinate Plane

x-axis y-axis Origin (0,0) 1 2 3 4 5 1 2 3 4 5

X-axis: The horizontal (across) number line. Goes left to right.

Y-axis: The vertical (up/down) number line. Goes up and down.

Origin: The point (0, 0) where the axes cross. This is where we START!

Memory Trick: How to Plot Points

"Run then Jump!" or "Across the Hall, Up the Elevator!"

X comes first (go RIGHT), then Y (go UP)

Example: Plot the Point (4, 3)

(4, 3) 0 1 2 3 4 5 1 2 3 4
1

Start at the origin (0, 0)

2

Go RIGHT 4 units along the x-axis (the orange dashed line)

3

Go UP 3 units (the blue dashed line)

4

Mark the point! This is (4, 3)

TRAP ALERT: Don't Switch X and Y!

WRONG: For (4, 3), going UP 4 first then RIGHT 3. That would plot (3, 4)!

RIGHT: X always comes FIRST - go RIGHT first, then UP.
Remember: (x, y) is like (across, up) or (run, jump)

Example: Reading Coordinates from a Graph

A B C 0 1 2 3 4 5 1 2 3 4

To read coordinates:

Point A: Go across to 2, up to 4 = (2, 4)

Point B: On the y-axis at 2 = (0, 2)

Point C: On the x-axis at 5 = (5, 0)

Notice: Points on an axis have a 0 in their coordinates!

Your Turn: Practice Problems

1. Write the ordered pair for each description:

a) 3 units right, 5 units up: (, )

b) 6 units right, 2 units up: (, )

c) 4 units right, on the x-axis: (, )

2. Describe how to plot each point:

a) (1, 7): Start at origin, go right _____, then up _____

b) (5, 0): Start at origin, go right _____, then up _____

3. What is the x-coordinate of (8, 3)? _____ What is the y-coordinate? _____

Remember!