WODB: Polynomial Functions

 If you haven’t experienced the conversation stemming from Which One Doesn’t Belong? activities, you are missing out.     As far as I can decipher (#MTBoS feel free to correct me), this all began with Christopher Danielson’s Shape Book centered around this structure.   From there, a crew of tweeps (headed up by Mary Bourassa) established WODB.ca (YES! Canadian) to curate a collection of problems of this format.   My unit on polynomial functions (either in Foundations of Mathematics 30 or Pre-calculus 30) requires students to decipher attributes of polynomial functions from their graph and vice versa. These include end behaviour, sign of …

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Central Tendency: 10 Burning Questions

My intern just started a unit on statistics with my favourite starter question of all time. (First blogged near the end of this post in 2011…)The question is simple: floor is very low, and ceiling is very high. Create a data set with the following characteristics: Mean = 3 Mode = 3 Median = 3 During the teacher rotation between groups, I picked up on some lines of reasoning. (Not being directly responsible for the teaching of the lesson, allows me to sit back, be inspired, and follow the lines of inspiration). Student justifications for their data sets were very …

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Navigating Collectivity: Grade 9 Fractions

“I hate fractions” – Everyone Today an amazing thing happened; students put aside the endemic disdain for rational numbers and had a conversation. I’d go further, they weren’t discussing their views on fractions, they were collectively conjecturing–the moves of the room enacted each other. I don’t think that a written document can capture the movement of the body of learners, but I have to try something. Think of it as less of a remembering and more of a re-membering, a reconstruction of a living learning event from the past. My intern and I have worked at fostering a spirit of collectivity …

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