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polygons. Draw and post. Draw a picture of a polygon on each of your post-it notes. Try to draw two different types of polygons (be creative). Post them on the front chalkboard (right side). Think/pair/share. Take a minute to think about your drawings, what makes a figure a polygon?

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Draw and post
Draw and post

  • Draw a picture of a polygon on each of your post-it notes.

  • Try to draw two different types of polygons (be creative).

  • Post them on the front chalkboard (right side)


Think pair share
Think/pair/share

  • Take a minute to think about your drawings, what makes a figure a polygon?

  • Pair up with someone and share your thoughts. (Be sure to listen to their thoughts as well.)

  • Write down properties you think must exist to call something a polygon.


Section 6 1 what is a polygon write down
Section 6.1What is a polygon? (Write down)

Polygons

Not Polygons


A polygon has write down
A polygon has…(Write Down)

  • Three or more sides

  • No curved sides

  • Each segment connects to only two others (segments don’t cross)


Decide and check
Decide and check

  • Aces - come up the board and remove any examples from the board that you think are not polygonsand put them on the cabinet.

  • Twos – Check to see if you agree with the drawings that were removed. Then go to the board and make sure that Row 1 removed all the drawings that should have been removed.


Convex vs concave write down
Convex vs concave (Write Down)

Convex Polygons

Concave Polygons


What s the difference
What’s the difference?

Convex Polygons

Concave Polygons


Decide and check1
Decide and check

  • Threes– Go to the board and divide the drawings into two groups (Concave/Convex)

  • Fours – Check to see that the Threes grouped the drawings correctly


equiangular

equilateral


Polygon names
Polygon Names

  • Polygon Names


Decide and check2
Decide and check

  • Fives – Go to the board and label all the drawings with the appropriate name.

  • Sixes – Go to the board and check to see if you agree with all of the names


Diagonals
Diagonals

  • A diagonal connects two non-consecutive vertices (write down)


Diagonals1
Diagonals

  • A rectangle has 2 diagonals

  • Draw the diagonals of a pentagon (5 sides)



Triangles in a polygon
Triangles in a polygon

  • In your notes create a table, the size of a full sheet of paper, that has 4 columns and 12 rows. Leave enough room to draw a picture below the name.

(n – 2) x 180

n

n - 2


Solve for x
Solve for x

  • 113+98+42+x=360

  • 253+x=360

  • X=107


Solve for x1
Solve for x

  • 90+90+2x+25+3x+5=360

  • 210+5x=360

  • 5x=150

  • X=30


Equiangular polygons
Equiangular Polygons

  • What does each interior angle equal in an equiangular 20-gon?

  • What does each interior angle equal in an equiangular n-gon?

  • Use this formula to find what each interior angle equals in an equiangular 40-gon.


Exit ticket homework
Exit Ticket Homework

  • First: Name the Polygon.

  • Second: Determine whether the polygon is convex or concave.

  • Third: Determine whether the polygon is equilateral, equiangular, regular, or neither.

  • Fourth: Solve for x.

  • Pg. 325: 12 – 20, 24 – 34, 37 – 46, 54 - 59

x

x

x

x


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