## Tag: fractions

## Cover It Up!

Last year, our district focused our system wide math content learning on number sense and numeration including counting and quantity principles, composing and decomposing numbers, addition and subtraction as well as multiplication and division while exploring these concepts through a spatial perspective. This school year, we continue to our work in number sense and numeration by deepening our understanding of whole number as well as introducing fractions. Thus far, much of our work has been grounded in the ideas in the Paying Attention to Fractions document, the recently released Fraction Learning Pathway and some well known books including Uncomplicating Fractions. Recently, Heidi Horn-Olivito and I were at a Math Knowledge Network...

## Cheese and Crackers

Fractions as Quotient and Fraction as Operator As I've mentioned before, working with fractions can be very difficult for both teachers to teach and students to understand. This reason could contribute to why so many math classrooms teach students fractions procedurally instead of building a conceptual understanding beforehand. My first attempt at tackling fractions in 3 acts was with the Gimme a Break task and I've since shared a Progression of Fractions post to help highlight some of the complexities and misconceptions. In this task, we look at a situation we've all been in before. You cut yourself a few slices of cheese from the brick and grab a handful of crackers from the box. Let's explore fractions as quotient and fractio...

## Roll Up The Rim to Win

Tim Hortons Introduces a Special Edition Roll Up The Rim for Canada's 150th Birthday! As I was sipping on a hot Tim Horton's Dark Roast coffee this morning during a meeting, I happened to notice a big "150" on my cup with that familiar yellow arrow we see when it is Roll Up The Rim to Win time here in Canada. Ironically, it was the second last day of the Canada 150 Math Challenge and I wasn't set on what task I was going to share for the final day of the month long math initiative around Canada's 150th Birthday. How could I not go with something related to roll up the rim? Act 1: Spark Curiosity Show your students this video. https://youtu.be/zamG02-3YAU Then, ask your students what they notice and what they wonder? ...

## 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...