5th Grade presentation on polygons and their properties (angles, sides, shapes).

1. SUPER SHAPES
Super shapes!
By Adam and Connor
Editing By
Saahir

2. CATEGORISING
You can categorise shapes in many
different ways, like parallel sides, names of
shapes, number of sides, and lengths of sides.
But, sides, names, and angles, are most
common used categories. Even though you
might say they are not the three examples we
used in the start of the paragraph fits into
those three big categories.
triangles quadrilateral 5 or more sides

3. CHANGING CATEGORIES
If you are making categories for
quadrilaterals you might categorise them
like this, no sets of parallel sides, one set of
parallel sides, and two sets of parallel sides.
But you can also categorise them like this.
Parallelograms, trapezoids, and
quadrilaterals other than trapezoids and
parallelogram. actually those three
categories are the same as the other three
categories, but just saying them in a more
specific way.
trapezoid
parallelogram
irregular quadrilateral

4. TILING SHAPES
Have you ever seen a tile floor. Was
it square was it triangular was it
hexagonal. There is a reason your tile
floor is most likely one of these. They all
tile. When something tiles it aligns
together so there are no cracks. There
are specific types of shapes you can tile.
(see second sentence).
These tile
These dont
tile

5. Angles
An angle is were two line segments
intersect but does not cross. It also
has a vertex. As you can see an angle
can measure from 0 degrees to 360
degrees. This triangle has three 60
degree angles.
These are angles

6. The TIA’s Method
Angle sums are all the angles of a
polygon added togetone polygon. The
TIA’s method is when you take one vertex
of a polygon. Then draw lines to opposite
vertex of the polygon but stay on the
vertex you started with. Say you have a
hexagon. Then you use T.I.A.’s method
and when you’re done you should see four
triangles.Each triangle in the hexagon has
an interior angle sum of 180 degrees. So
180 times four equals 720 degrees which
is the interior angle sum of a hexagon.
Four triangles

7. Formula For Interior Angle Sums
The formula for interior angle sums is
the number of sides minus two times
180. This formula will work for any
polygon even one with one-thousand
sided shapes.
n=number of sides
(n - 2) 180

8. Exterior Angles
Exterior angles are the outside angles
of a polygon. You have to extend the
sides in a specific way like this example
with a triangle to the left. Extending the
sides will create other angles on the
outside. Those angles are the exterior
angles. All exterior angle sums of any
polygon will be 360 degrees. You might
be thinking how does that work. Well
since the interior angle is 30 degrees,
the adjacent exterior angle is 150
degrees.

9. Conclusion
Thanks for watching , hope you had a
great time and learned alot. Just
remember. SUPER SHAPES!