## Reflection: Developing a Conceptual Understanding A thought is an idea in transit - Section 3: Application Task 1

Students in task 1 must write their conclusion. Some may simply write sentences like.."all the tiles form another square on the hypotenuse", or similar statements without really demonstrating in their writing that the concept was understood. I "poke" these students and have them rewrite the conclusion until the concept is correctly expressed.

Yet, even those that may correctly write what is expected, may not have made the connection between the geometric idea and the algebraic equation, a^2 + b^2 = c^2. Some may be outspoken enough to express this, but others may not. I try and make sure the connection is made. Task 2 may help strengthen their understanding of the concept.

Did they make the connection?
Developing a Conceptual Understanding: Did they make the connection?

# A thought is an idea in transit

Unit 9: The Pythagorean Theorem
Lesson 1 of 10

## Big Idea: An introduction to what some say is the most important theorem in all of mathematics.

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Standards:
Subject(s):
Math, Pythagorean Theroem, Pythagoras, area (Measurement), modeling, right triangle, hypotenuse, Pythagorean Triples
55 minutes

### Mauricio Beltre

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