6.A.1.1 Plot integer and rationalvalued (limited to halves and fourths) orderedpairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs.
In a Nutshell
This objective expands on previous knowledge using whole numbers to plot ordered pairs. Halves and fourths are added to either the x or y coordinate resulting in points that do not fall on the grid intersections of the graph. Knowledge of horizontal and vertical number lines provides the foundation for understanding how to plot these points within the grid squares. Negative and positive values of the same numeral are opposites. For example, the ordered pair (4, 1) in the second quadrant is a reflection across the xaxis of the ordered pair (4,1) in the third quadrant.
Student Actions

Teacher Actions


Develop procedural fluency by plotting ordered pairs in all four quadrants, and identify Q1 points as (+, +), Q2 points as (, +), Q3 points as (,), and Q4 points as (+, ).

Continue to develop a deep understanding of vertical and horizontal number lines when using the coordinate grid, moving in the appropriate direction and plotting points that include halves and fourths.


Key Understandings

Misconceptions


Ordered pairs must be graphed by first locating the x coordinate, then the y coordinate.

Halves and fourths can be represented between grid lines on a graph or in the squares created by those lines.
 Changing one coordinate (either the x or the y) in an ordered pair to the opposite sign creates a reflection.


Which is the x and which is the y coordinate.

Positive and negative directions.

The x and yaxes.

That points must be plotted on grid intersections.

OKMath Framework Introduction
6th Grade Introduction
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