lots of squares: an example from the digital library sean nank, phd [email protected] tiffany...
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Lots of Squares:An Example from the Digital Library
Sean Nank, [email protected]
Tiffany ObrienDel Lago Academy
October 25, 2014Session #652
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• Mathematics• English• General Formative Assessment Strategies• SBAC Guides
Four attributes of formative assessments
1) Clarify intended learning
- Help students and/or teachers understand their goal
2) Elicit evidence
- No single way, can be strategic or on-the-fly
3) Interpret evidence
- In relation to the learning target (misunderstandings)
4) Act on evidence
Let’s try a problem!But first – why introduce proofs in this manner?
Stress associated with formalized proofs
Do we believe all students can learn?
Do we REALLY believe all students can learn?
So why aren’t they all learning?
Let’s try a problem!
Lots of Squares
How many square can you make out of 1 square?
Lots of Squares
Can you divide a square into 3 other squares?
Can you divide a square into 4 other squares?
Can you divide a square into 5 other squares?
Lots of Squares
Share your answers on the board!
Lots of Squares
Can you divide a square into 3 other squares?
Can you divide a square into 4 other squares?
Can you divide a square into 5 other squares?
Lots of Squares
What is the largest number of squares that is impossible to make inside 1 square?
Are all numbers possible?
What is not possible?
Lots of Squares
Do you see any way to organize the numbers that you are getting to help answer the question?
Do you notice any pattern in the numbers you are getting?
What is not possible?
Lots of Squares
Share your answers on the board!
Justify your conclusion.
Lots of Squares
4,
Geometric and arithmetic pattern linking:
7, 10, ?, 6, 8, 10, ?,
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Send your text message to this Phone Number: 37607
Strongly Disagree
Strongly Agree
Disagree Agree
Speaker was well-prepared and
knowledgeable (0-3)
Speaker was engaging and an effective presenter (0-3)
Session matched title and description in
program book (0-3)
Other comments, suggestions, or
feedback (words)
___ ___ ___ ___________ 45054
Example: XXXXX 323 Great session!
5 digit poll code
for this session
(no spaces)
Non-Example: XXXXX 3 2 3 Great session!
(1 space) (1 space)
Non-Example: XXXXX3-2-3Great session!