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)
