Lyle`s Triangles

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Welcome to
Day 3!
Please do the following…
Sign in and find your name tag.
Help yourself to refreshments.
Sit where there is a binder at the table with
your district’s name on a table tent.
Comment Cards
SVMI Coaching Institute
Day 3
Common Core State
Standards and Fractured
Numbers
What are the big
mathematical ideas in
Fractured Numbers
across the grade levels?
Mathematical
Practices
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the
reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Reflecting on the POM through the
Mathematical Practices as a LEARNER
∆ Solo, read the Mathematical Practices. Highlight
elements within the practices you experienced by
doing the Problem of the Month & the Gallery Walk.
∆ In table groups of 3 or 4, discuss…
∆ Which mathematical practices you used while
working on the POM,
∆ How you used that mathematical practice(what
element or descriptor), and
∆ For the mathematical practices you identified as
using…
∆ What it looked like,
∆ What it sounded like, and
∆ What it felt like.
Mathematical Practices – TEACHER LENS
What do they look like in the classroom?
• In your groups…
o Divide the 8 Mathematical Practices among yourselves.
o Read that section silently, then discuss with your group:
• the key ideas of this section
• what it may look like in the classroom (using
examples given and building upon them with
examples of your own)
• how the reading may have deepened your own
understanding this Mathematical Practice
• any other “aha’s” or ideas that resonated with you
3 – 2 – 1 Reflection
Thinking about your reading and discussions of the
Mathematical Practices through the lenses of a
learner and teacher, record your responses to the
following:
3 ideas you learned about the Mathematical
Practices.
2 areas within the Mathematical Practices for
which you have gained or are gaining confidence.
1 question you still have about the Mathematical
Practices (or 1 of them).
Problem of the Month
Lyle’s Triangles
Lyle’s Triangles
 During this quiet think time, please read all levels of the
Problem of the Month.
 As you read…
•Think of clarifying questions you may
have for your group.
•Think of possible strategies you might
like to try to help you make sense of
the problem.
Lyle’s Triangles
In your group…
•Ask your clarifying questions of your group
and share your ideas on possible
strategies.
•Begin working on Level A. When you feel
you have gone as deeply as possible on
a level, go on to the next one.
•While working, keep note of which
Mathematical Practices you are using.
Be Mindful of Our Norms
Community Agreements
“No one is as smart as all of us are together”
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Respect individual think time
Everyone participates
Everybody helps
Leave no one behind
Take responsibility
Where are we?
Quick Write
Think about and record the following…
• Where are you in your thinking process? (What
strategies have you tried? What worked? What didn’t?)
• What questions do you have at this point?
• Where will you begin tomorrow?
• What Mathematical Practices have you used during
this POM so far? Give concrete examples.
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