🔢 MathGrade 5Lesson 27
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Coordinate Grid & Graphing

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Learning Objectives

  • 1Identify the x-axis, y-axis, and origin on a coordinate grid
  • 2Read an ordered pair as (x, y) with x across and y up
  • 3Plot a point on a grid given an ordered pair
  • 4Name the ordered pair that matches a plotted point
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Mini Lesson

A coordinate grid is a flat map made of evenly spaced horizontal and vertical lines. Every point on the grid has its own address called an ordered pair, written (x, y). Coordinate grids are used in maps, graphs, video games, and science to show exactly where something is.

Parts of the Grid

  • The x-axis is the horizontal number line that runs left to right.
  • The y-axis is the vertical number line that runs up and down.
  • The origin is the point (0, 0) where the two axes meet.
  • Each square on the grid is one unit wide and one unit tall.

Ordered Pairs (x, y)

  • Always write the x-coordinate first and the y-coordinate second.
  • The x-coordinate tells you how far to move ACROSS from the origin.
  • The y-coordinate tells you how far to move UP from there.
  • The order matters: (3, 5) and (5, 3) are different points.

Plotting a Point

  • Start at the origin (0, 0).
  • Slide along the x-axis to the x-coordinate (move right).
  • From there, slide up to the y-coordinate.
  • Mark the point with a clear dot and label it with its ordered pair.

Reading a Plotted Point

  • Drop straight down from the point to the x-axis to read the x-coordinate.
  • Slide straight left from the point to the y-axis to read the y-coordinate.
  • Write them as (x, y) with a comma between.
Coordinate grid with four pointsCoordinate Grid (0-10)012345678910012345678910xy(2, 3)(5, 7)(8, 4)(1, 1)
How to read (x, y)How to Read (x, y)Step 1: x firstMove ACROSS from originStep 2: y secondMove UP from thereExample: plot (4, 6)Across 4, then up 6.x = 4 (across)y = 6 (up)Always (x, y) - never (y, x)(4, 6)across 4up 6xy
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Tip: x comes before y in the alphabet, so x comes first in the ordered pair. Across, then up - that is the order, every time.

Vocabulary
coordinate grid
A grid of evenly spaced horizontal and vertical lines used to locate points.
x-axis
The horizontal number line on a coordinate grid.
y-axis
The vertical number line on a coordinate grid.
origin
The point (0, 0) where the x-axis and y-axis meet.
ordered pair
Two numbers written as (x, y) that name the location of a point.
x-coordinate
The first number in an ordered pair - tells how far to move across.
y-coordinate
The second number in an ordered pair - tells how far to move up.
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