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Cartesian Plane Exploration

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Cartesian Plane Exploration

Cartesian coordinate plane with four quadrants

📍 Part 1: Understanding the Cartesian Plane

1. Label the parts of the Cartesian plane below:

Fill in the blanks: x-axis, y-axis, origin, Quadrant I, Quadrant II, Quadrant III, Quadrant IV

2. Which quadrant contains points with these sign patterns?

a) Positive x, Positive y:

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

b) Negative x, Positive y:

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

c) Negative x, Negative y:

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

d) Positive x, Negative y:

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

3. The origin is located at coordinates __________, __________.
4. When writing coordinates, which value comes first?

The y-coordinate (vertical)

The x-coordinate (horizontal)

It doesn't matter

🎯 Part 2: Plotting and Reading Coordinates

5. Plot the following points on a coordinate grid and label each point with its letter:

A (3, 4)    B (-2, 5)    C (-4, -3)    D (1, -6)    E (0, 2)

6. Write the coordinates for each plotted point and identify its quadrant:
7. Connect points A, B, C, and D in order to form a quadrilateral. What type of shape did you create?
8. If you moved point A three units to the left, what would its new coordinates be?

New coordinates: ( _____ , _____ )

🔍 Part 3: Coordinate Polygons and Reflection

9. Plot these points to create a triangle: F(-3, 2), G(1, 4), H(-1, -2)
10. Calculate the distance from point F to point G by counting grid squares. Show your work.
11. Describe a real-life situation where you might use coordinates to describe location:
12. Reflection: What was the most challenging part about working with negative coordinates? How did you overcome this challenge?
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