0.9 Repeating

This was a precal class but I think would be an awesome activity with Middle Schoolers.

Easing the Hurry Syndrome

I got to teach one of my favorite lessons in a Precalculus class this week, which I developed several years ago from a paper by Thomas Osler, Fun with 0.999…

We started with a Quick Poll. Students could select as many or as few choices as they wanted.

1 Screen Shot 2015-05-01 at 6.22.27 PM

I shared their responses separated

2 Screen Shot 2015-04-27 at 11.36.55 AM

and grouped together.

3 Screen Shot 2015-04-27 at 11.37.22 AM

3_1 Screen Shot 2015-04-27 at 11.37.28 AM

In the first class, one student selected all three choices.

In the second class, 5 students selected all three choices.

4 Screen Shot 2015-04-27 at 2.48.04 PM

I set the timer for a few minutes and asked students to think individually about how they could argue their selection(s).

Then I asked them to talk together about their ideas.

I walked around and listened. These are the conversations I heard:

A: 1/3 is 0.3 repeating. 2/3 is 0.6 repeating. If we add 1/3 and 2/3, we get 1. If we add 0.3 repeating and 0.6 repeating, we get 0.9 repeating.

B: 1/9…

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Michelle Bonds

I was an engineer for 6 years before I became a teacher. I've taught math 6th - 12th grade, computer science, and EAST (Environmental and Spatial Technologies). I also provide professional development in the areas of technology and STEM learning. I have been providing professional development since 2007 locally and nationally. I created an Engineering Club at my current high school for students interested in STEM fields and am proud to be the 2011 Student Racing Challenge National Champs. My two personal passions are NASCAR and travelling.

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