# 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:

- Fractal multiplication coloring sheet – Fractal multiplication table_blank b&w
- pencil crayons

## 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:

- Fractal multiplication table – fractal multiplication table
- plastic sleeve
- whiteboard markers

## Day 4:

### Materials needed:

- scissors
- Expression sheet – Fractal puzzle solution table

## 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.