I constructed a geometric daisy using the following steps:
1) First, I made the center point of the daisy by just putting a dot in the middle of the paper.
2) Second, I used a compass to make a circle around that point. (Put the point on the point and used the pencil to draw a circle)
3) Third, I put the pencil of the compass on the dot in the middle of the first circle and the point of the compass anywhere on the outside of the first circle to draw another circle.
4) Fourth, I put two dots to mark the points of intersection between the middle circle and the new circle.
5) Then, I drew more circles, by putting the point of the compass on one of those two points of intersection, and the pencil on the center of the original (middle) circle.
6) Then, I repeated step 4 and 5 until I got a daisy...
7) Then, I colored the daisy, and decorated it with different shapes (triangles and hexagons) that could be found inside it.
Extra step: You could also repeat step 4 and 5 going outwards to make a field of daisies.
Here is my work:
Highlighted and bold faced = Vocabulary words that are used for the first time (for quick reference)
Bold Faced = Vocabulary words (repeated)

