COORDINATE PLANE NOTES STEP BY STEP TO SHOW THE QUADRANT 1, QUADRANT 2, QUADRANT 3, AND QUADRANT 4 OF THE INTERVALS 0.25, 0.5, OR 1.
Step 1: Draw a coordinate plane
On a piece of graph paper or white paper, draw a horizontal (x-axis) and a vertical line (y-axis) intersecting at a right angle in the center of the page. Make sure there is sufficient space on all four sides of the intersection.
Step 2: Label the axes and origin
Label the horizontal line "x," the vertical line "y," and the point of intersection "O" (the origin). The positive x-direction is to the right, and the positive y-direction is up.
Step 3: Add tick marks and labeling
Depending on the intervals you want to use (0.25, 0.5, or 1), create tick marks at equal distances along both the x and y axes. Label each tick mark with its appropriate value.
For example, if you choose an interval of 0.5:
- On the x-axis, mark 0.5 to the right of the origin and label it "0.5." Continue the process for 1, 1.5, and so on.
- On the y-axis, mark 0.5 above the origin and label it "0.5." Continue the process for 1, 1.5, and so on.
Step 4: Identify and label the quadrants
The coordinate plane is divided into four quadrants by the x and y axes:
- Quadrant 1 (Q1) is the top-right section, where both x and y values are positive.
- Quadrant 2 (Q2) is the top-left section, where x is negative and y is positive.
- Quadrant 3 (Q3) is the bottom-left section, where both x and y values are negative.
- Quadrant 4 (Q4) is the bottom-right section, where x is positive and y is negative.
Label each quadrant with the appropriate roman numeral (I, II, III, or IV) in the center of each section.
Step 5: Visualize or plot points
You can now visualize or plot points on your coordinate plane, keeping in mind the interval size used (0.25, 0.5, or 1). To plot a point, identify the x and y values, then find the appropriate location within the proper quadrant.
For example, if you want to plot the point (1.5, 1) and you used an interval of 0.5:
- Locate 1.5 on the x-axis and 1 on the y-axis.
- The point lies in Quadrant 1 since both x and y values are positive.
- Move 1.5 units to the right from the origin along the x-axis and then 1 unit up along the y-axis to plot the point.
You can now use your coordinate plane with labeled quadrants and intervals of 0.25, 0.5, or 1 to plot points, graph equations, and visualize geometric shapes in four quadrants.