Number Project: Prime Hex Spiral

Project: https://scratch.mit.edu/projects/203251492/

Description: If you arrange the natural numbers in a hexagonal pattern, and colour in the prime numbers, they form a pattern where the prime numbers greater than 3 radiate from the 1 and 5 sections only. This Scratch program checks the first 390 natural numbers for primes and plots them in the hexagon (prime numbers in blue, non-prime in green).

Ideas: This is an example “number project” exploring primes and geometry. A number project is a project-based learning activity in which students explore their own questions or their own mathematical interests and produce some kind of product that expresses/communicates their learning.

Example curriculum: Ontario Grade 6 mathematics, NSN strand

A Closer Look at Curriculum Connections

In the process of creating coding projects over time, students must use very specific thinking skills and usually all of the mathematical processes are engaged:

Gr6-Process

In addition to all of the process expectations being engaged (in long-term, creative, ongoing, PBL coding projects) it is often difficult to clearly define specific mathematics expectations from the curriculum that are ‘covered’ by any coding project. Instead, it is common that many different concepts and expectations are involved in a single project. Number projects, such as this “Prime Hex Spiral” project has connects to the following concepts / expectations:

  • prime and composite numbers
  • factors
  • algebraic and algorithmic thinking
  • geometry and spatial sense
  • 2D figures
  • coordinate geometry
  • variables
  • integers
  • operational sense

 

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s