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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.
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
slide10

If all the angles in a polygon are equal it’s called

  • If all the sides in

a polygon are equal

it’s called

  • If a polygon is both equilateral and equiangular it is regular(write down)

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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