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•  Mixed Number Lesson Study
• A VDOE SPONSORED MSP PROFESSIONAL DEVELOPMENT
  OPPORTUNITY THROUGH GEORGE MASON UNIVERSITY
• Denice Arroyo Natalie Webb
• John Adams Elementary John Adams
  Elementary
• Alexandria City Public Schools Alexandria City
  Public Schools
• Eve Hall Joanne Ortiz
• Crestwood Elementary Marumsco
  Hills Elementary
• Fairfax County Public Schools Prince William
  County Public Schools
• Erin Sublett Brenda Dreesbach
• Cora Kelly Elementary Elizabeth Vaughan
  Elementary
• Alexandria City Public Schools Prince William
  County Public Schools

GMU COMPLETE Center
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Mixed Number Lesson Study

• Brownie Sharing Tasks
• Host teacher Eve Hall
• School Crestwood Elementary
• Grade Third

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Lesson Goals Professional

• Professional Learning Goal
• Our short term professional goal is to learn and
  implement successful teaching techniques and
  behaviors from other teachers into our own
  classrooms.
• Our long term professional goal is to develop
  peer and co-coaching skills.

WG
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Lesson Goals Student

• Immediate Student Goal
• Students will be able to demonstrate an
  understanding of mixed numbers using words or
  pictures.
• Solidifying the concept of whole, equal parts,
  mixed numbers.
• Long Term Student Goal
• Students will demonstrate flexibility of thought
  and solid fraction number sense.

WG
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Related SOL

• Number and Number Sense
• 3.3 The student will
• a.) divide regions and sets to represent a
  fraction and
• b.) name and write the fractions represented by a
  given model (area/region, length/measurement, and
  sent). Fractions (including mixed numbers)
  include halves, thirds, fourths, eighths, and
  tenths.

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Math Task Warm up

• We created a Sharing Problem to correspond with a
  unit on learning Fractions
• We wanted to introduce the idea of Mixed Numbers
  by creating a Fair-Share problem for a third
  grade classroom.
• The Objective Students would be able to
  demonstrate an accurate understanding of Mixed
  Numbers using words or pictures
• There are 2 students sharing 5 brownies. How can
  you share all the brownies so everyone gets a
  fair share?

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Math Task Main Task

• There are 4 people sharing 5 brownies. How can
  you share them so everyone gets a fair share?

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The Process

• Students attempt to solve the problem, first
  individually, and then in pairs or groups, using
  drawing or brownie cut manipulatives to express
  and explain their thinking.

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Example of Student Work
Figure 2
Figure 1.
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Modifications and Enhancements

• We changed the beginning of the lesson. Instead
  of introducing the lesson with 2 share 5, we
  decided to introduce the lesson with whole class
  work on 4 share 1 creating anchor charts. In
  this way, naming and writing fourths would be
  fresh in their minds and available on the anchor
  chart.
• We added sentence frames for student use.

• 5 students could label, but not name their work
• 5 students could not label or name their work

EK
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What we learned..

• Highlights the importance of teachers
  collaborating to influence student achievement
• Teaching and learning centered on reflection,
  creative thinking, problem solving
• Students can represent their thinking visually,
  orally, in writing, with manipulatives

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What I learned..(Joanne)
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What I learned..(Brenda)

• Adaptations
• Moving it down to 2nd grade and using just the
  fractions and not mixed numbers.
• Added a read aloud.
• Best Result from Lesson Study Day
• Used the debrief from lesson study day.
• Avoided pitfalls.
• Implementation
• Student engagement.
• Focus on vocabulary.

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What I learned(Denice)
Fair Share Cookie Task 10 cookies 2 kids and 6
cookies 2 kids.
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What I learned(Natalie)
Beginning to cut cookies into 3 pieces
Shared equally 4 cookies for 3 people
Cutting cookies into quarters
10 equal pieces.
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Further Questions to Explore

• How many lesson study cycles should you do in one
  year?
• How do you get to be better at the leading
  questions?
• What is the best way to deal with resistant
  teammates?