factors pattern tasks

Odd Factors

I am teaching 5 new classes next year. I am trying not to think of it that way; rather, I am taking it one step at a time. Unfortunately, most of these steps need to be taken during my summer vacation. This isn’t the end of the world; I am fairly stationary, and enjoy a mental workout as much as some enjoy time on the beach or in a foreign shopping mall. I began my massive preparation marathon with a unit for Grade 10 Precalculus on factoring. As I dove into the curriculum and textbooks, I found myself actually enjoying the intricacies of the topic…nerdy, I know!

factors fractions numeracy tasks

Fractions From Digits

This week marked my baptism by fire into the twitter world. It was not long until I was neck deep in tweets, favourites, re-tweets, and followers. The eternal nerd awoke inside me when I was confronted with my first NCTM “Problem of the Day”. A simple, yet dangerously deep, question was posed. Wanting to cement my reputation as a responsible twit, I sat down and began to tinker with the theory.

The question was as follows:
How many different fractions can you write using only the digits 1,2,3 & 4?
Be sure to include fractions greater than 1.