In this Grade 6 Pengi Math lesson, students learn to name and locate Quadrants I through IV on the coordinate plane by connecting each quadrant to its sign pattern — (+/+), (−/+), (−/−), and (+/−). Students practice plotting points with negative coordinates using left/right and up/down direction rules, and determine whether a given point falls within a specific quadrant or on an axis based on coordinate signs and zeros. The lesson also challenges students to generate possible coordinate pairs that satisfy a given quadrant and partial coordinate condition.
Section 1
Quadrants and Points on the Axes
The axes divide a plane into four regions, called quadrants. The quadrants are identified by Roman numerals, beginning on the upper right and proceeding counterclockwise.
| Quadrant I | Quadrant II | Quadrant III | Quadrant IV |
|---|---|---|---|
Points on the Axes
Points with a -coordinate equal to 0 are on the -axis, and have coordinates .
Points with an -coordinate equal to 0 are on the -axis, and have coordinates .
Section 2
Plotting Points in the Coordinate Plane
To plot a point on the coordinate plane:
start at the origin , move units horizontally (right if , left if ), then move units vertically (up if , down if ).
Expand to review the lesson summary and core properties.
Section 1
Quadrants and Points on the Axes
The axes divide a plane into four regions, called quadrants. The quadrants are identified by Roman numerals, beginning on the upper right and proceeding counterclockwise.
| Quadrant I | Quadrant II | Quadrant III | Quadrant IV |
|---|---|---|---|
Points on the Axes
Points with a -coordinate equal to 0 are on the -axis, and have coordinates .
Points with an -coordinate equal to 0 are on the -axis, and have coordinates .
Section 2
Plotting Points in the Coordinate Plane
To plot a point on the coordinate plane:
start at the origin , move units horizontally (right if , left if ), then move units vertically (up if , down if ).