Monday, March 01, 2010
Math 6 (Class 117)
Lesson Title
Investigation 4: Polygon Properties and Tiling
Overview
In the last class students began to explore how we might be able to use our new found fact that the sum of the interior angles of any triangle might help us confirm or refute our conjecture about the sum of the interior angles of a pentagon. In today’s class this exploration resumes.
Textbook Sections
Problem 4.1 (Txt. p.42) Relating Sides to Angles
Vocabulary
tiling
regular polygon
polygon
pentagon
hexagon
octagon
angle ruler
precisely
vertex
Key Attitudes
Willingness to work as a group to help meet individual and group goals.
Enduring Understandings
Change is fundamental to understanding functions.
Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral).
Essential Question
Why do we compare contrast and classify objects?
How do decomposing and recomposing shapes help us build our understand of mathematics?
Key Knowledge
An angle can be measured with an angle ruler.
Key Skills
I can measure an angle with an angle ruler.
I can determine with shapes in the shape set can be used to make a tiling.
I can use facts about parallel lines to show that the sum of the interior angles of a triangle always add to 180˚
Turn-In (#-1)
No Homework
Handouts
No Handouts Posted
Assignment
Draw an 17-gon. Find the sum of its interior angles. Prove your answer is correct by “cutting” the shape into triangles.
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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