Virginia SOL 6.MG.3

6.MG.3 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 6.MG.3.a

  Identify and label the axes, origin, and quadrants of a coordinate plane.

• 6.MG.3.b

  Identify and describe the location (quadrant or the axis) of a point given as an ordered pair. Ordered pairs will be limited to coordinates expressed as integer...

• 6.MG.3.c

  Graph ordered pairs in the four quadrants and on the axes of a coordinate plane. Ordered pairs will be limited to coordinates expressed as integers.

• 6.MG.3.d

  Identify ordered pairs represented by points in the four quadrants and on the axes of the coordinate plane. Ordered pairs will be limited to coordinates express...

• 6.MG.3.e

  Relate the coordinates of a point to the distance from each axis and relate the coordinates of a single point to another point on the same horizontal or vertica...

• 6.MG.3.f

  Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to determine the length of a side joining points with the same first c...

01

What Students Need to Do

Students label the axes, origin, and quadrants, then graph and read ordered pairs with integer coordinates. They describe each point’s location and distance from the axes. They also draw polygons and find side lengths when sides are horizontal or vertical.

02

What Mastery Looks Like

Students correctly label the coordinate plane and plot or read integer ordered pairs in all quadrants and on both axes. They explain how each coordinate gives distance and direction from an axis. They draw polygons from given vertices and find horizontal or vertical side lengths.

03

Common Misconceptions

Students often reverse the x- and y-coordinates or move in the wrong direction for negative values. They may place points on an axis in a quadrant. Some count grid marks instead of units when finding horizontal or vertical side lengths.

04

How to Assess It

Give students a blank grid and ask: Label both axes and the origin, then plot A(-3, 2), B(-3, -4), C(2, -4), and E(0, 3). Name each point’s location, complete rectangle ABCD, and find the lengths of AB and BC.

1. 01

   Build a floor grid with painter’s tape, then have students stand at coordinate cards and name their quadrant or axis.

2. 02

   Ask students to explain why (-4, 3) is four units from the y-axis and three units from the x-axis.

3. 03

   Play Coordinate Bingo by calling ordered pairs while students cover matching points on grids that include all four quadrants and both axes.

4. 04

   Give a city map grid with landmarks, then ask students to plot a route and calculate horizontal and vertical block lengths.

• 8.PFA.3

  The student will represent and solve problems, including those in context, by using linear functions and analyzing their key characteristics (the value of the y...