The Hidden Picture: A Coordinate Graphing Activity

Art Comes Alive on the Coordinate Plane

In this engaging and hands-on math activity, students explored the beauty hidden within numbers by plotting a series of coordinates across all four quadrants of the Cartesian plane. With careful attention to each point and the connections between them, a stunning image emerged — revealing how mathematics can create more than just answers; it can create art. This activity not only reinforced their understanding of coordinate geometry and graph interpretation, but also sparked creativity and excitement in learning. It's a perfect example of how math and imagination can come together to form something truly memorable.

Objective:

To apply coordinate geometry concepts by plotting points in all four quadrants and visually interpreting geometric relationships through line segments.

Learning Outcome:

• Students will understand how plotting ordered pairs (x, y) on a Cartesian plane creates visual structures.
  
  

• They will gain skills in scaling, graph interpretation, and shape recognition.
  
  

• Students enhance spatial reasoning by visualizing patterns and designs formed through sequential plotting.

Plot the following points on a graph sheet. Connect them one by one. The moment you finish, you must have a beautiful picture.

Activity1

1. Start at

(4.2) → (5,2) → (6,0)→(0,0)→(1, 2)→(4, 2)→(4, 8)→(1,8)→(4, 16)→(22, 16)→(26,8)→(23, 8)→(23,6)→(21,7)→(16,7)→(14,6)→(12, 8)→(10,8)→(9,7)→(9, 5)→(6,3)→(6,1) → (7,0) → (9,0)→(11,2)→(12, 1)→(11, 1)→(10,0)→(17,0)→(17, 1)→(16, 2) →  Break.

Begin again at (9, 5)→ (10.5, 5) → Break

Begin again at (20, 4)→(20, 3)→(22, 1)→ (20, 1)→(19,1.5)→(18, 1)→(18,0)→(23,0)→(25, 1)→(25, 3)→(24, 5)→(23, 6) → Break.

Begin again at (24, 5)→(28, 1)→(27,0)→(25,0)→(27, 1)→(25, 3)  → Break

Begin again at (11,6)→(12, 5)→(11,4)→(11,2)→ (12, 1)→(14, 1)→(15,2)→(15,4)→(14, 6) →  Break.

Begin again at (7, 0)→ (9, 1)→ (10, 2) →  STOP

I Quadrant. 

Scale

X axis 1 cm 2 units

y axis 1 cm 1 unit

(or as you please)

Activity 2

II. Begin at

(4, 4)→(0,0)→(-3,0)→(-2,2.5)→(4, 4)→(-3,7) → (-3.5,9.5)→(0,10)→(4, 4)→(3,9)→(5, 11)→(6, 9)→(4, 4)→(9, 9)→(11,8)→(10,6)→(4, 4)→(12, 4)→(14, 2)→(11,0)→(4, 4)→(8,-2) → (7,-5) → (4,-3)→(4, 4)→(-1,-11)→(-4,-6)→(-7, -5)→(-6, -8)→(-1,-11)→(3,-21) → Break

Begin again at (1, -16)→ (4, -11)→ (8, -10)→ (7,-13)→ (1, -16)  →  STOP

All the 4 quadrants are needed.

[scale:x axis 1 cm → 2 units, y axis: 1 cm → 2 units]

(or as you please)