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Two Types of Relative Thinking You Need To Know

In this week’s video we pull a lesson from our 12-week course on Proportional Reasoning: The Concept Holding Your Students Back.

Our 12-week course aimed at grades 3-10 educators is designed to help you:

  • Fill in learning gaps your students arrive in your class with that prevent them from reaching their potential?
  • Possess a deep understanding of the connections in mathematics from spatial reasoning to proportional reasoning to measurement to algebraic reasoning so you can build that capacity in your students?
  • Help your students think like mathematicians while reasoning deeply about proportions…everyday?
  • Stop second guessing your abilities in your math block and look forward to your teaching day?
  • Feel so confident & knowledgeable about your math content that other teachers sought you out for advice?

In this Video from Module 6 You’ll Learn:

  • Ratios involve comparisons using relative thinking; and,
  • Ratios can be sorted into two distinct groups or categories.

Resources Related To The Video

The Concept Holding Your Students Back → https://makemathmoments.com/proportions

 

 

 

Want to Run Problem Based Lessons Without a Hitch In Your Classroom?

Head over to the Make Math Moments 3-Part Framework page to dive right in or click below to download the guidebook to take with you!

DOWNLOAD THE 3-PART FRAMEWORK GUIDEBOOK

Why not bring the 3-Part Framework Guidebook with you?

Download the PDF so you can share with your professional learning network via print or email!

LESSONS TO MAKE MATH MOMENTS

Each lesson consists of:

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Each Teacher Guide consists of:

  • Intentionality of the lesson;
  • A step-by-step walk through of each phase of the lesson;
  • Visuals, animations, and videos unpacking big ideas, strategies, and models we intend to emerge during the lesson;
  • Sample student approaches to assist in anticipating what your students might do;
  • Resources and downloads including Keynote, Powerpoint, Media Files, and Teacher Guide printable PDF; and,
  • Much more!

Each Make Math Moments Problem Based Lesson begins with a story, visual, video, or other method to Spark Curiosity through context.

Students will often Notice and Wonder before making an estimate to draw them in and invest in the problem.

After student voice has been heard and acknowledged, we will set students off on a Productive Struggle via a prompt related to the Spark context.

These prompts are given each lesson with the following conditions:

  • No calculators are to be used; and,
  • Students are to focus on how they can convince their math community that their solution is valid.

Students are left to engage in a productive struggle as the facilitator circulates to observe and engage in conversation as a means of assessing formatively.

The facilitator is instructed through the Teacher Guide on what specific strategies and models could be used to make connections and consolidate the learning from the lesson.

Often times, animations and walk through videos are provided in the Teacher Guide to assist with planning and delivering the consolidation.

A review image, video, or animation is provided as a conclusion to the task from the lesson.

While this might feel like a natural ending to the context students have been exploring, it is just the beginning as we look to leverage this context via extensions and additional lessons to dig deeper.

At the end of each lesson, consolidation prompts and/or extensions are crafted for students to purposefully practice and demonstrate their current understanding. 

Facilitators are encouraged to collect these consolidation prompts as a means to engage in the assessment process and inform next moves for instruction.

In multi-day units of study, Math Talks are crafted to help build on the thinking from the previous day and build towards the next step in the developmental progression of the concept(s) we are exploring.

Each Math Talk is constructed as a string of related problems that build with intentionality to emerge specific big ideas, strategies, and mathematical models. 

Make Math Moments Problem Based Lessons and Day 1 Teacher Guides are openly available for you to leverage and use with your students without becoming a Make Math Moments Academy Member.

Use our OPEN ACCESS multi-day problem based units!

Make Math Moments Problem Based Lessons and Day 1 Teacher Guides are openly available for you to leverage and use with your students without becoming a Make Math Moments Academy Member.

MMM Unit - Snack Time Fractions Unit

SNACK TIME!

Partitive Division Resulting in a Fraction

Shot Put Multi Day Problem Based Unit - Algebraic Substitution

SHOT PUT

Equivalence and Algebraic Substitution

Wooly Worm Race - Representing and Adding Fractions

WOOLY WORM RACE

Fractions and Metric Units

 

Scavenger Hunt - Data Management and Finding The Mean

Scavenger Hunt

Represent Categorical Data & Explore Mean

Downloadable resources including blackline mastershandouts, printable Tips Sheetsslide shows, and media files do require a Make Math Moments Academy Membership.

Use our OPEN ACCESS multi-day problem based units!

Register For Free:
2021 Make Math Moments Virtual Summit 
Learn the smartest ways to Engage, Reach, and Strengthen your students in K-12 math classrooms.

NOVEMBER 13 & 14, 2021