Transcript Polygons - Hinchingbrooke

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Polygons
The word polygon has its roots in the Greek language and means
many-angled.
A regular polygon is a polygon with all sides equal and all angles
equal.
A regular
pentagon
Some regular
polygons
3
Equilateral Triangle
Regular
4
5
Square
Pentagon
6
Hexagon
7
8
9
Septagon/Heptagon
Octagon
Nonagon
Decagon
12
16
20
Dodecagon
Hexadecagon
Icosagon
11
Hendecagon
10
What is link between the calendar and the names of the polygons below?
Calendar
10
7
8
9
Septagon
Octagon
Nonagon
1st
January
7th
July
2nd
February
8th
August
3rd
March
9th
September
4th
April
10th
October
5th
May
11th
November
6th
June
12th
December
Decagon
What is link between the calendar and the names of the polygons below.
7
8
9
Septagon
Octagon
Nonagon
1st
January
7th
July
2nd
February
8th
August
3rd
March
9th
September
4th
April
10th
October
5th
May
11th
November
6th
June
12th
December
10
Decagon
What is link between the calendar and the names of the polygons below.
7
8
9
Septagon
Octagon
Nonagon
Januarius
Februarius
5th
Quintilis
6th
Sextilis
1st
Martis
7th
September
2nd
Aprilis
8th
October
3rd
Maius
9th
November
4th
Junius
10th
December
10
Decagon
Romulus’s
daythe
calendar
Legend
has304
it that
mythical
was king
unworkable
for(Romulus),
an
first
of Rome,
agricultural
created
a 10people
monthwho
yearneeded
of 304
a reasonably
days
when heaccurate
founded calendar
the city
to 735
guide
them
through
in
BC.
March
was the first
seasons.
It wasafter
Romulus’s
month,
named
Martis the
successor,
god
of war. King
AprilisNuma,who
may refer to
added 2hogs.
moreHe
months
the
raising
namedtoMaius
calendar
in about
BC – and
after
a local
Italian700
goddess
Januarius
Junius
afterand
theFebruarius.
queen of the
Eventually
Julius
Latin
gods. under
After that
he Caesar,
named
theseby
became
the first using
2
them
their number,
months
of the year.
Latin
prefixes.
The Calendar (David Ewing Duncan)
What is link between the calendar and the names of the polygons below.
7
8
9
Septagon
Octagon
Nonagon
Julius
Quintilis
2nd
Januarius
Februarius
77thth
8th
Augustus
Sextilis
3rd
Martis
9th
September
4th
Aprilis
10th
October
5th
Maius
11th
November
6th
Junius
12th
December
1st
10
Decagon
Over time the Romans
improved the calendar still
further and in tribute to the
improvements made by Julius
Caesar (365 day calendar), the
Senate changed Quintilis to
Julius. Later still, Sextilis was
renamed Augustus in honour of
the great Emperor.
An irregular polygon is a polygon whose sides and angles are
not all equal.
An irregular
pentagon
Some irregular
polygons
Irregular
3
4
5
Triangle
Quadrilateral
Pentagon
6
7
Hexagon
Septagon/Heptagon
8
Octagon
Polygon Arch 1
Quadrilateral
Triangle
Pentagon
Hexagon
Quadrilateral
Pentagon
Pentagon
Heptagon
Polygon Arch 2
Triangle
Quadrilateral
Hexagon
Hexagon
Pentagon
Pentagon
Triangle
Heptagon
Polygon Arch 3
Pentagon
Quadrilateral
Hexagon
Heptagon
Pentagon
Triangle
Pentagon
Nonagon
What’s happened?
(mathematically speaking)
And
finally:
A hendecagon is laying eggsagons!
Thanks E.G (mathematical pie)
Worksheet