lots of squares: an example from the digital library sean nank, phd sean.nank@ace.edu tiffany...

Lots of Squares:An Example from the Digital Library

Sean Nank, PhDSean.Nank@ace.eduwww.seannank.com

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, ?,

Sean Nank, PhDSean.Nank@ace.eduwww.seannank.com

Tiffany Obrien

www.ace.edu/info

1-855-704-0317

0 1 2 3

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!