Fractal Multiplication

Fractal Multiplication

A drawing/image based activity to help students understand the relationship between number multiples, prime numbers, prime factors, and division. The image-based puzzles reduce the barrier for those who struggle to memorize while helping them to continue to connect to the meaning of multiplication (whereas using a calculator does not connect to meaning). The idea is that over-time these images are meant to aid the student in memorizing their times tables in a non-stressful way.

Day 1:

Materials needed:

Day 2:

Materials needed:

  • scissors
  • glue
  • paper

Day 3:

This activity starts out with most students confused about how to solve the puzzles, but once the momentum gets going they take to it with ease.

Materials Needed:


Day 4:

Materials needed:

Day 5:

Materials needed:

  • Fractal Multiplication table from day 3 in a plastic sheet
  • whiteboard marker

Activity Description:

This is the same activity as on day 3 but you are introducing them to division, so they write the solution to each puzzle but as a division equation (ie. 24 ÷ 8 = 3 or 24 ÷ 3 = 8).  This is a great way to demonstrate to the students how division is connected to multiplication.

You can then replay the bingo game but with division expressions.

Another version of the FM table for division

Typically I cut these into vertical strips and so that when a student is dividing by 7 they can just pull out the 7 strip and work off of that.

 I find with long-division this to be especially helpful.  I laminate the strips and the student keeps them in their desk in a folder or you can keep it has a whole table.

You can download the whole table here FM times tables_vertical.

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