5.G.A.1
*This standard is part of an additional cluster
Standard
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with
the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a
given point in the plane located by using an ordered pair of numbers, called its
coordinates. Understand that the first number indicates how far to travel from the origin
in the direction of one axis, and the second number indicates how far to travel in the
direction of the second axis, with the convention that the names of the two axes and the
coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Unpacked
For this standard, students learn to reconstruct the levels of counting and quantification
that they had already constructed in the domain of discrete objects to the coordination of
(at first) two continuous linear measures. That is, they learn to apply their knowledge of
number and length to the order and distance relationships of a coordinate grid and to
coordinate this across two dimensions.
5.G.1 and 5.G.2 deal with only the first quadrant (positive numbers) in the coordinate plane.
Although students can often “locate a point,” these understandings are beyond simple skills. For
example, initially, students often fail to distinguish between two different ways of viewing the
point (2, 3), say, as instructions: “right 2, up 3”; and as the point defined by being a distance 2
from the y-axis and a distance 3 from the x-axis. In these two descriptions the 2 is first associated
with the x-axis, then with the y-axis.
Questions to check for understanding/ increase the rigor?
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How are (1,7) and (7,1) different when plotted on a coordinate grid?
How would you describe to a friend who does not understand coordinate grids to plot X
and Y coordinates? What is the difference between the X axis and the Y axis? Explain by using examples.
Show students a picture of city streets showing a grid system. For example, this section
of New Orleans:
Do you see something similar to the coordinate grid? How can coordinate grids help you
if you are navigating this city?
If each unit on the x and y axis represents one mile and travel can only occur horizontally
or vertically, how many miles does Sally travel when she moves from (4,5) to (7,11)?
Without actually graphing the points (2,3), (2,6) and (2,1), will the graph result in a
horizontal, diagonal, or vertical line?
Domain: Writing
Level 2
Emerging
Level 3
Developing
Level 4
Expanding
Level 5
Bridging
Explain how to
write the
ordered pair for
a point on the
coordinate grid
using gestures
and key words
from a word
bank.
Explain how to
write the
ordered pair for
a point on the
coordinate grid
using general
language,
sentence stems,
and a word
bank.
Explain how to
write the
ordered pair for
a point on the
coordinate grid
using specific
language, simple
sentences and a
word bank.
Explain how to
write the
ordered pair for
a point on the
coordinate grid
using some
technical
language in
simple
sentences.
Explain how to
write the
ordered pair for
a point on the
coordinate grid
using technical
language in
complex
sentences.
ELD Standard #3: English Language Learners communicate information, ideas,
and concepts necessary for academic success in the content area of
Mathematics.
Level 6 Reaching
Level 1
Entering