OTF Connect – Exploring Proportional Reasoning Through a 4-Part Math Lesson


Ontario Teachers Federation Connect Webinar

February 2nd, 2015

This session is part of a series entitled Incorporating the 4-Part Math Framework Into Your Lesson.

In this OTF Connect Series, participants are introduced to a math lesson framework that unpacks the Minds On, Action, and Consolidation from the well known 3-Part Math Lesson into four, more specific parts. Each session will introduce a lesson exemplar that will incorporate real world problems in a style similar to Dan Meyer’s 3-Act Math Tasks to offer the context necessary for students to successfully make connections between what we see in the real world and its mathematical representation.

Session 1: Introducing Proportional Reasoning and Extensions with the 4-Part Math Lesson Framework

Join us for the first of three OTF Connect Sessions introducing the 4-Part Math Lesson exploring real world examples related to Proportional Reasoning and how it can easily be extended to what traditionally are considered difficult concepts in linear relations. During this webinar, you will engage as the student and solve problems with ease regardless of your mathematical background and participate in the consolidation to their abstract representations using algebra. Upon leaving the session, you will have access to all the resources used during the session to engage your students from grade 6 all the way to grade 9 academic to prove to them that they really DO understand math!

Replay the webinar and access OTF Resources here.

Resources Related to This Session:

Stacking Paper [3 Act Math Task]

How many packages of paper will it take to reach the ceiling?



Stacking Paper - 3 Act Math Task - Real World Math

Real World Math in Proportional Reasoning and Linear Relations Here's a new Real World / 3 Act Math Task that is related to proportional reasoning and a direct variation linear relation with a partial variation sequel to boot! Please note that this is part one of three tasks in a series: Stacking Paper - Direct Variation (y-intercept equal to 0) Stacking Paper Sequel - Partial ...


Summary & Resources

Stacking Paper Sequel [3 Act Math Task]

What is the height of the table?



Finding the Equation of a Line Given Slope and a Point - 5 Stacks of Paper on a Table

Finding the Equation of a Line Given Slope and a Point This 3 Act Math Task is a sequel to the Stacking Paper Real World Math Problem I created a couple weeks back. In the previous task, students were asked "How many stacks of paper will it take to reach the ceiling?" That problem had a sequel that explored the scenario of stacking the paper on a table instead of on the floor in order to see i...


Summary & Resources

Thick Stacks [3 Act Math Task]

How tall is the table?



Thick Stacks 3 Act Math Task - Height of 12 Stacks and 5 Stacks

Finding the Equation of a Line Given Two Points This 3 Act Math Task is yet another sequel to the Stacking Paper and Stacking Paper - Sequel 3 Act Math Tasks where we look at linear relations with respect to a real world situation involving packages of paper stacked into a tower. While the original task begins with a direct variation requiring only basic proportional reasoning skills, th...


Summary & Resources

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