## Tag: proportional reasoning

## Area of Saskatchewan

Introducing the Area of a Trapezoid and/or Composite Figures in 3 Acts Here we are in week 3 of the #Canada150Math Challenge and after finally moving west to North Vancouver to mathematize the Canada 150 Mountie salute on the Capilano Suspension Bridge, I thought we should head to the prairies to see what sort of math fun we could have there. This question was inspired by an old EQAO problem from the Winter 2007 Applied Assessment of Mathematics about the area of Saskatchewan: Doesn't quite generate that mathematical excitement I am typically looking for, but still a worthwhile problem. I'm thinking we could have a lot of fun with this and maybe even spark some curiosity at the same time. Act 1: Introduce the Task #C...

## Giant Rubber Duck

More #Canada150Math Challenge 3 Act Fun! We are cruising through week 2 of the #Canada150Math Challenge and I was inspired by @NatashaMFolino to create the visuals for this task when she shared the following tweet on the #Canada150Math hashtag: https://twitter.com/NatashaMFolino/status/870701672011517952 For those who aren't aware, the Giant Rubber Duck will be making a visit to Toronto and five other towns in Ontario for Canada's 150th Birthday during the summer. There are some articles here, here and here that might inspire other questions for you to use in your classroom. We will be continuing the challenge all month long, so be sure to check them all out here. See All Questions Act 1: Introduce the Task #Canada1...

## The Great Canadian Flag

Starting a Month of Math to Celebrate Canada's 150th Birthday As you might have heard, 2017 marks Canada's 150th year of Confederation and me and my Canadian friends are pretty excited about it. You can probably imagine how geeked I was when Heidi Horn-Olivito came to me with a math challenge that she and the collaborative inquiry team at Dr. David Suzuki Public School thought up around Canada's 150th Birthday. They originally wanted to challenge our district, Greater Essex County District School Board (GECDSB) to a month of Canada 150 Math during June. However, I've upped the ante and I'm challenging all of Canada. While we'll be providing a math question and/or provocation during the entire month of June via the @Canada150Math T...

## Sticky Note Challenge

Ratio, Rates and Proportional Reasoning With Sticky Notes This is a 3 Act Math Task that focuses on ratio, rate and proportional reasoning related to a video shared with me recently on Twitter from Jerrold Wiebe: https://twitter.com/Jerroldwiebe/status/865176406136942592 In the video by Design Squad Global, a man sets up a Sticky Note Challenge involving the "shear" of the sticky notes to determine how many sticky note "slings" it would take for him to lift his own weight. I immediately thought that could be a fun situation to mathematize in the classroom. Act 1: Introduce the Task Show students the act 1 video. https://youtu.be/nVyhDO5lxaQ Then ask students to do a rapid write of what they notice and ...

## 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...

## The Progression of Proportional Reasoning From K-9

The Foundation and Development of Multiplicative Thinking Proportional Reasoning is a big idea that is connected in some way to all mathematical strands and stretches across many grades in the Ontario mathematics curriculum. While many focus on the importance of proportional reasoning for students in junior and intermediate grades, I believe that we can see the early development of proportional reasoning in kindergarten and primary grades when students begin unitizing, grouping, and fair sharing. In this post, I'd like to briefly explore some of the progression of proportional reasoning across the Ontario mathematics curriculum. Paying Attention to Proportional Reasoning The Ontario Ministry of Education has done a great job releasing ...

## Solar Panels

Proportional Reasoning With Green Energy This is a 3 Act Math Task that focuses on "Green Energy" proportional reasoning questions related to solar panels in order to address proportions both visually using area models and proportions written as equivalent fractions. Special thanks goes to Dave Raney from CPE Inc. for allowing us to use his video and photos as well as Kathleen Quenneville, Energy & Environmental Officer at GECDSB for her feedback to create problems around solar energy. Act 1: Introduce the Task Show students the act 1 video. https://youtu.be/TVNelm5Xgtk Then ask students to do a rapid write of what they notice and what they wonder. Students will then share out their noticings and wonderings while ...

## Calvin’s Clearance

Working With Percentages to Estimate & Calculate Discounts The following lesson resource material provides Real World Math Problems that were created with the Grade 6 Ontario Mathematics Curriculum in mind, but can be used in all intermediate grades to reenforce an understanding of percentages and discounts. Throughout the lesson, students are asked to estimate the cost of each item of clothing after a discount is applied while encouraging the use of friendly numbers and their understanding of percentage as a part (percentage) of a whole (out of 100). Students will then be able to take their estimate and complete the calculation with a calculator to compare their estimate with the actual result. Learning Goals: After our Real Wo...

## OTF Connect – Exploring the Progression of Proportional Reasoning From K-9

Ontario Teachers Federation Connect Webinar October 26th, 2016 Students begin using proportional reasoning early in their mathematics learning journey when they begin to think of the magnitude of numbers relative to another rather than in absolute terms. Join Kyle Pearce as we explore the progression of proportional reasoning throughout the primary, junior and intermediate math classroom by using tasks that are contextual, visual and concrete and spark curiosity in students. Replay the webinar and access OTF Resources here. Resources Related to This Session: Slide Deck OTF Connect - Exploring The Progression of Proportional Reasoning From K-9 from Kyle Pearce Download the Slide Deck in the following formats: Portable Do...

## Fast Clapper

Using Real World Rates and Proportional Reasoning The following 3 act math task shared by Nathan Kraft (@nathankraft1) involves proportional reasoning with opportunities to address learning goals around rates, proportions, rates of change and creating equations. Jon Orr and I have used this task in presentations a number of times over the past few months and many have asked us to share our slide deck and other resources with a summary. So, here we go! Act 1 - Sparking Curiosity Show the following video: https://youtu.be/wT_d2GOEm_0 *Note that this is an edited version of Nathan's video where I have blacked out the number of claps. You can always add. You can't subtract. I typically give students a prompt to jo...