Tuesday, March 02, 2010
Math 6 (Class 118)
Lesson Title
Investigation 4: Polygon Properties and Tiling
Overview
In today’s class students conclude their investigation of the relationship between the number of sides of a polygon and the sum of the measures of the interior angles by developing a rationale for why the pattern they uncovered and justified for side of 3 to 9 can be extended to all polygons. They then turn their attention to “stars” and see if they can construct a formula for the sums of these shapes.
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 find the sum of the interior angles of any covnex polygon.
I can justify the sum of the interior angles of a polygon by using previously agreed on facts.
I can use what I have learned about the sum of the interior angles of a polygon to develop a method for finding the sum of the interior angles of a polygonal star.
Turn-In (#-1)
Draw an 17-gon. Find the sum of its interior angles. Prove your answer is correct by “cutting” the shape into triangles.
Handouts
No Handouts Posted
Assignment
“Interior Angles” worksheet
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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