Reflection: Discourse and Questioning Many Names for Fractions - Section 4: Closure and Ticket to Go


After grading the pre-test, I saw that I needed to include this lesson in Unit 4.  After discussing the do now, I drew a number line and asked students to think about this question: What fraction is exactly between 2/6 and 3/6?  This question is similar to a question that was on the pre-test.  I told students that we were not going to talk about their ideas until the end of the lesson. Unit 4.1 Question.jpg

As an extra part of the closure, I returned to this question.  Students participated in a Think Pair Share.  I walked around and listened to students talk.  I asked one student to share his thinking.  He said that you could create equivalent fractions for 2/6 and 3/6 that both had 12 as the denominator.  You would get 4/12 and 6/12, so 5/12 would be exactly between them.  Then I called on a girl who I had heard talk during the think pair share.  She said that she had thought that 2.5/6 was exactly between the two fractions.  I asked the class if she was correct.  Another student explained that she was correct because if you multiply 2.5/6 by 2/2 you would create 5/12.  About 1/3 of the class said, “Ohhhhhh” at the same time.  It was clear that many students had initially thought of 2.5/6, but had abandoned it. 

Over the next few lessons, I will include questions that build on this concept.  For example, I may ask, “Which fraction is exactly between ¼ and 1/3?” I will ask if 21/72 is correct.  I want students to extend their knowledge of equivalent fractions to realize that 21/72 is equivalent to 7/24.  

  Discourse and Questioning: Framing Question
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Many Names for Fractions

Unit 4: Fraction Operations
Lesson 2 of 19

Objective: SWBAT: • Identify the numerator and denominator of a fraction and how each relates to the part and the whole • Develop strategies for finding equivalent fractions • Simplify a fraction

Big Idea: What does it mean for two fractions to be called equivalent? Students develop strategies for generating equivalent fractions and simplifying fractions.

  Print Lesson
Math, Number Sense and Operations, equivalent fractions, 6th grade, master teacher project, simplifying fractions
  65 minutes
unit 4 1 image
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