OzoPrime

In this activity students will think about divisibility relations

Are two numbers coprime? This simple Ozobot activity can quickly answer the question.

Ozobot will be uploaded with a simple code making it following a line counting a fixed number of intersection, then stopping for a while, and then repeating that indefinitely.

Material:

OZOBOTs we suggest to have an Ozobot every two students.

Card with Path an example is provided

Procedure:

• STEP 1

Write a code to have OZOBOT stopping for a while every 2 intersections.

Upload the code on the OZOBOT and run it.

Put a mark on each intersection where OZOBOT stops, until it completes a circle.

Repeat this step, changing the number of intersection in the code (and the associated mark), till 12.

• STEP 2

Analyze the mark you have drawn. Can you observe any regularity? (Tip: start looking at the marks associated with large numbers, and pay attention to the related marks from small ones).

• STEP 3

Write the code for stopping every 14 intersections, run OZOBOT and put the mark.

Write the code for stopping every 5 intersections, run OZOBOT and put the marks.

Are 14 and 5 coprime numbers?

Write the code for stopping every 14 intersections, run OZOBOT and put the mark.

Write the code for stopping every 7 intersections, run OZOBOT and put the marks.

Are 14 and 7 coprime numbers?