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ALGEBRA SESSIONALGEBRA SESSION
Session 4: Range of Learners
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12 x 3 Array
Using the same picture, show 6 x 6 and prove that array also has the same value
How did your representation change? What mathematical "rule" or property
did you apply? How would this help students
struggling with computational fluency?
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Students in action
Video 1 and Video 2
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Computational Fluency Major focus in elementary grades Obstacle to success and confidence in
math Students see each problem as a separate
endeavor (trying to remember the "right steps" to follow rather than building on what they already know)
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CCSS Connections
Our goal: students learn computation strategies deriving from the operations' properties and the structure of the base ten system.
Where do you see evidence of this goal across grade level standards?
Where is it that we expect kids to master these ideas within the CCSS specifically?
Stay in OA even though NBT would also be relevant
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Karly (p. 69-70)
What does she understand?
What does she need to work on?
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Karly (pg. 71)
What has changed? What property is she using when she
talks about dispersing the 9 into 3 bags of 3?
4 x 9 = 4 x (3 x 3) What does this tell us about her
progress? What are the teacher's next steps?
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Quick vs. Efficient
What is the difference? Work as a table to come up with an explanation.
Many times with struggling learners teachers what to give them quick strategies for success
Quick: non transferrable, procedural Efficient - you can reuse you work, long range
planning, investment, working smarter, not harder
Analogy - math center vs. copies of recording sheets
Fad diet vs. changing of eating habits. Long term effects!
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Reflecting on Work
The equivalent of "Night Writes" - when I was doing this work, I was thinking about...
Show Me - exciting for kids Is it different than "checking your work?" Brainstorm some sentence starters
students can use when expressing their ideas about strategies
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Sharing Homework
Sharing Protocol - 1 minute explanation, questions, rebuttal
Talking chips - get rid of chips At the end of your discussion, please
highlight the work of your team
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HW Share Out
Recognizing each other's work Comparing what we saw at different
schools How will we share our work? Everyone?
Small groups? Jigsaw?