Reflection: Standards Alignment Same Numerator, Different Denominators - Section 2: Active Engagement


Before teaching with the Common Core State Standards in mind, I would not have done a lesson like this.  I always taught students to compare fractions to a half and gave them "tricks" as to how to decide if if was greater than, less than, or equal to 1/2, without ever asking them why. I did not even consider it, thinking it was too much and, frankly, it wasn't in the TE. Now I know, aligning with the standards, offering rich tasks, and trusting the students and myself, brings about much more learning than a page of problems. 

Listening to my students explain their reasoning, and asking them to challenge themselves to problem solve with journal prompts and performance tasks has made me a better teacher.  The winner's in this are the students. Never before have I had the depth of thinking in my classroom.  Never before have a just gotten quiet and traveled the road the students put before me.

To my surprise and delight, we have traveled further than I have ever taken them before…because they are at the head! 

Journal-you will love the way the students lead you through the standards.

  New For Me
  Standards Alignment: New For Me
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Same Numerator, Different Denominators

Unit 8: Comparing Fractions
Lesson 1 of 5

Objective: Students will be able to compare and explain fractions with the same numerator by reasoning about their size.

Big Idea: Understanding that fractions are related to their whole and that comparing fractions means one must compare the same size whole is critical to student's basic understanding of the concept.

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Math, Fractions, Number Sense and Operations, comparing fractions, Critical Area, math journals
  40 minutes
screen shot 2014 03 31 at 2 42 19 pm
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