## The Progression of Fractions

Exploring Fraction Constructs and Proportional Reasoning Fractions are a beast of a concept that causes struggles for many adults and students alike. While we all come to school with some intuition to help us with thinking fractionally and proportionally, the complexity quickly begins to increase as we move from concrete, to visual, to symbolic and from identifying, to comparing, to manipulating. Fractions are formally introduced in the Ontario Math Curriculum when students begin dividing whole objects into pieces and identify these pieces using fractional names (e.g.: halves; fourths or quarters) and continues to promote the development fractional fluency concretely through each grade. Interestingly enough, it is often said that student...

## OTF Connect – Making Connections Between Proportional Thinking and Fractional Thinking

Ontario Teachers Federation Connect Webinar December 5th, 2016 Make connections from the relational thinking behind proportional reasoning and represent these number relationships as fractions. Join Kyle Pearce as we explore fractional thinking using tasks that are contextual, visual and concrete in order to examine fraction constructs, uncover multiple representations of fractions, and discover different perspectives that build the conceptual understanding behind the rules for multiplying and dividing fractions. Replay the webinar and access OTF Resources here. Resources Related to This Session: Slide Deck OTF Connect - Making Connections Between Proportional Thinking and Fractional Thinking from Kyle Pearce Download the S...

## Gimme A Break

Adding/Subtracting and an Intro to Multiplying/Dividing Fractions A colleague and good friend, Dave Burke, reached out to me recently for some ideas around adding and subtracting fractions. In particular, he was interested in trying to make the topic a little more enjoyable by adding some context. This was a challenge I was really eager to work on because working with fractions is such a sore spot for so many students and their teachers. In the past, I tried to help make dividing fractions less abstract by using the idea of dividing chocolate bars. With this in mind, I figured using chocolate bars for adding and subtracting would be a good starting point to move towards multiplication and division later. Here are some expectat...

## Counting Candies

Working With Fractions To Find Unknown Values In this task, students see a bunch of candies poured on the table. How many candies should each of four people receive if you know how many there are in two thirds of the whole? Act 1: Introduce the Problem https://youtu.be/S74d7yFoPG4 What's the question? In this case, we're looking at: How many candies should you receive if they are divided evenly amongst 4 people? Act 2: Giving More Information https://youtu.be/fJqRS5QRLOI Students now know how many candies there are in 2/3 of the total. How many should each person get if the total is split amongst 4 people evenly? Desmos Activity Builder Activity I recently created a Desmos Activity Builder Acti...

## Doritos Roulette: Hot or Not?

Don't Get Burned By Doritos Roulette Spicy Hot Chips! Today, I was finally able to record some footage involving the mysterious Doritos Roulette chips when I was working with some colleagues from Tecumseh Vista Academy. If you haven't heard of the new Doritos flavour, here is the commercial: https://youtu.be/MJTr39UJlAs Special thanks to: Joey Demarse, Dan Frezell, Diane Gardin, Craig Guthrie, Jeff Hillman, Dee Kruc, and Justin Levack for volunteering to eat a bag of chips with me while I recorded the footage. Act 1: The Teaser Show your students this video: http://youtu.be/pAwgNAwD_iA What questions come to mind? Act 2: Give Some Details Some questions students might have: How many doritos in a b...