Math 106 - CooleyMath for Elementary Teachers II OCC

Classroom Activity #2 – Greek Names of Polygons

In this lesson, students will familiarize themselves with the less commonly known Greek prefixes.

Learning Objectives

Students will:

  • be able to give the actual names of polygons with 3 or more sides

Materials

  • Greek Names of Polygons Activity Sheet – 1 per student

Instructional Plan

Distribute the Greek Names of PolygonsActivity Sheet to each student. Have students work in groups of two. The instructor should create an example or two of their own to students for clarity and understanding. Have students work on the solutions for exercises 1 thru 10, and perhaps have them write their solutions on the whiteboard.

Extensions

Create additional problems that involve regular polygons, asking questions on exterior and interior

angles. (Only if this topic has been discussed in the past).

NCTM Standards and Expectations

Number & Operations - Understand numbers, ways of representing numbers, relationships among

numbers, and number systems - Pre-K-2

1. Develop a sense of whole numbers and represent and use them in flexible ways,

including relating, composing, and decomposing numbers.

References

This lesson was created by TopCatMath.com.

Greek Names of Polygons Activity SheetNAME ______

Below are the names of polygons with up to 19 sides:

1 / N/A / 11 / hendecagon
2 / N/A / 12 / dodecagon
3 / trigon / 13 / triskaidecagon
4 / tetragon / 14 / tetrakaidecagon
5 / pentagon / 15 / pentakaidecagon
6 / hexagon / 16 / hexakaidecagon
7 / heptagon / 17 / heptakaidecagon
8 / octagon / 18 / octakaidecagon
9 / enneagon or nonagon / 19 / enneakaidecagon
10 / decagon

To construct the name of a polygon with 20 through 99 sides, combine the prefixes as follows:

Tens / and / Ones / final suffix
-kai- / 1 / -hena- / -gon
20 / icosi- / 2 / -di-
30 / triaconta- / 3 / -tri-
40 / tetraconta- / 4 / -tetra-
50 / pentaconta- / 5 / -penta-
60 / hexaconta- / 6 / -hexa-
70 / heptaconta- / 7 / -hepta-
80 / octaconta- / 8 / -octa-
90 / enneaconta- / 9 / -ennea-

Note: The "kai" is not always used. Opinions differ on exactly when it should, or need not, be used.

To construct the name of a polygon with 100 or more sides, combine the prefixes as follows:

Additional Prefixes
100 / hecta-
1,000 / chilia-
10,000 / myria-
100,000 / decemyria-
1,000,000 / hecatommyria- or hekatommyria- or mega-
10100 / googol-

Examples:

So, a 42-gon would be named as follows:

Tens / and / Ones / final suffix / full polygon name
tetraconta- / -kai- di- / -gon / tetracontakaidigon or tetracontadigon

and a 3679-gon would be named as follows:

3 / 1000 / 6 / 100 / 70 / and / Ones / final suffix / full polygon name
Tri- / chilia- / hexa- / hecta- / heptaconta- / -kai- / ennea- / -gon / Trichiliahexahectaheptacontakaienneagon

Note: In practice we use the full name of the n-gon when referring to polygons having up to 12 sides. For polygons with 13 sides or more sides they are generically referred to as an n-gon, where n represents the number of sides. Thus, a 13-sided polygon would not be referred to as a “triskaidecagon” and instead is referred to as a 13-gon.

Exercises:

1)Write the correct full name for a 38-gon?

2)Write the correct full name for a 79-gon?

3)Write the correct full name for a 113-gon?

4)Write the correct full name for a 356-gon?

5)Write the correct full name for a 702-gon?

6)Write the correct full name for a 2,467-gon?

7)Write the correct full name for a 2,033-gon?

8)Write the correct full name for a 13,579-gon?

9)Write the correct full name for a 4,444,444-gon?

10)What is the measure of each internal angle of a regular megagon?

Decimal / Greek / Prefix / Group / Polygon / Polyhedron
1 / αʹ / mono- / monad / monogon*
2 / βʹ / di- / dyad / digon*
3 / γʹ / tri- / triad / trigon (triangle)
4 / δʹ / tetra- / tetrad / tetragon (quadrilateral) / tetrahedron
5 / εʹ / penta- / pentad / pentagon / pentahedron
6 / ϝʹ / hexa- / hexad / hexagon / hexahedron
7 / ζʹ / hepta- / heptad / heptagon / heptahedron
8 / ηʹ / octa- / octad / octagon / octahedron
9 / θʹ / ennea- / ennead / enneagon / enneahedron
10 / ιʹ / deca- / decad / decagon / decahedron
11 / ιαʹ / hendeca- / hendecad / hendecagon / hendecahedron
12 / ιβʹ / dodeca- / dodecad / dodecagon / dodecahedron
13 / ιγʹ / triskaideca- / triskaidecad / triskaidecagon / triskaidecahedron
14 / ιδʹ / tetrakaideca- / tetrakaidecad / tetrakaidecagon / tetrakaidecahedron
15 / ιεʹ / pentakaideca- / pentakaidecad / pentakaidecagon / pentakaidecahedron
16 / ιϝʹ / hexakaideca- / hexakaidecad / hexakaidecagon / hexakaidecahedron
17 / ιζʹ / heptakaideca- / heptakaidecad / heptakaidecagon / heptakaidecahedron
18 / ιηʹ / octakaideca- / octakaidecad / octakaidecagon / octakaidecahedron
19 / ιθʹ / enneakaideca- / enneakaidecad / enneakaidecagon / enneakaidecahedron
20 / κʹ / icosa- / icosad / icosagon / icosahedron
21 / καʹ / icosikaihena- / icosikaihenad / icosikaihenagon / icosikaihenahedron
22 / κβʹ / icosikaidi- / icosikaidyad / icosikaidigon / icosikaidihedron
23 / κγʹ / icosikaitri- / icosikaitriad / icosikaitrigon / icosikaitrihedron
24 / κδʹ / icosikaitetra- / icosikaitetrad / icosikaitetragon / icosikaitetrahedron
25 / κεʹ / icosikaipenta- / icosikaipentad / icosikaipentagon / icosikaipentahedron
26 / κϝʹ / icosikaihexa- / icosikaihexad / icosikaihexagon / icosikaihexahedron
27 / κζʹ / icosikaihepta- / icosikaiheptad / icosikaiheptagon / icosikaiheptahedron
28 / κηʹ / icosikaiocta- / icosikaioctad / icosikaioctagon / icosikaioctahedron
29 / κθʹ / icosikaiennea- / icosikaiennead / icosikaienneagon / icosikaienneahedron
30 / λʹ / triaconta- / triacontad / triacontagon / triacontahedron
31 / λαʹ / triacontakaihena- / triacontakaihenad / triacontakaihenagon / triacontakaihenahedron
32 / λβʹ / triacontakaidi- / triacontakaidyad / triacontakaidigon / triacontakaidihedron
33 / λγʹ / triacontakaitri- / triacontakaitriad / triacontakaitrigon / triacontakaitrihedron
34 / λδʹ / triacontakaitetra- / triacontakaitetrad / triacontakaitetragon / triacontakaitetrahedron
35 / λεʹ / triacontakaipenta- / triacontakaipentad / triacontakaipentagon / triacontakaipentahedron
36 / λϝʹ / triacontakaihexa- / triacontakaihexad / triacontakaihexagon / triacontakaihexahedron
37 / λζʹ / triacontakaihepta- / triacontakaiheptad / triacontakaiheptagon / triacontakaiheptahedron
38 / ληʹ / triacontakaiocta- / triacontakaioctad / triacontakaioctagon / triacontakaioctahedron
39 / λθʹ / triacontakaiennea- / triacontakaiennead / triacontakaienneagon / triacontakaienneahedron
40 / μʹ / tetraconta- / tetracontad / tetracontagon / tetracontahedron
41 / μαʹ / tetracontakaihena- / tetracontakaihenad / tetracontakaihenagon / tetracontakaihenahedron
42 / μβʹ / tetracontakaidi- / tetracontakaidyad / tetracontakaidigon / tetracontakaidihedron
43 / μγʹ / tetracontakaitri- / tetracontakaitriad / tetracontakaitrigon / tetracontakaitrihedron
44 / μδʹ / tetracontakaitetra- / tetracontakaitetrad / tetracontakaitetragon / tetracontakaitetrahedron
45 / μεʹ / tetracontakaipenta- / tetracontakaipentad / tetracontakaipentagon / tetracontakaipentahedron
46 / μϝʹ / tetracontakaihexa- / tetracontakaihexad / tetracontakaihexagon / tetracontakaihexahedron
47 / μζʹ / tetracontakaihepta- / tetracontakaiheptad / tetracontakaiheptagon / tetracontakaiheptahedron
48 / μηʹ / tetracontakaiocta- / tetracontakaioctad / tetracontakaioctagon / tetracontakaioctahedron
49 / μθʹ / tetracontakaiennea- / tetracontakaiennead / tetracontakaienneagon / tetracontakaienneahedron
50 / νʹ / pentaconta- / pentacontad / pentacontagon / pentacontahedron
51 / ναʹ / pentacontakaihena- / pentacontakaihenad / pentacontakaihenagon / pentacontakaihenahedron
52 / νβʹ / pentacontakaidi- / pentacontakaidyad / pentacontakaidigon / pentacontakaidihedron
53 / νγʹ / pentacontakaitri- / pentacontakaitriad / pentacontakaitrigon / pentacontakaitrihedron
54 / νδʹ / pentacontakaitetra- / pentacontakaitetrad / pentacontakaitetragon / pentacontakaitetrahedron
55 / νεʹ / pentacontakaipenta- / pentacontakaipentad / pentacontakaipentagon / pentacontakaipentahedron
56 / νϝʹ / pentacontakaihexa- / pentacontakaihexad / pentacontakaihexagon / pentacontakaihexahedron
57 / νζʹ / pentacontakaihepta- / pentacontakaiheptad / pentacontakaiheptagon / pentacontakaiheptahedron
58 / νηʹ / pentacontakaiocta- / pentacontakaioctad / pentacontakaioctagon / pentacontakaioctahedron
59 / νθʹ / pentacontakaiennea- / pentacontakaiennead / pentacontakaienneagon / pentacontakaienneahedron
60 / ξʹ / hexaconta- / hexacontad / hexacontagon / hexacontahedron
61 / ξαʹ / hexacontakaihena- / hexacontakaihenad / hexacontakaihenagon / hexacontakaihenahedron
62 / ξβʹ / hexacontakaidi- / hexacontakaidyad / hexacontakaidigon / hexacontakaidihedron
63 / ξγʹ / hexacontakaitri- / hexacontakaitriad / hexacontakaitrigon / hexacontakaitrihedron
64 / ξδʹ / hexacontakaitetra- / hexacontakaitetrad / hexacontakaitetragon / hexacontakaitetrahedron
65 / ξεʹ / hexacontakaipenta- / hexacontakaipentad / hexacontakaipentagon / hexacontakaipentahedron
66 / ξϝʹ / hexacontakaihexa- / hexacontakaihexad / hexacontakaihexagon / hexacontakaihexahedron
67 / ξζʹ / hexacontakaihepta- / hexacontakaiheptad / hexacontakaiheptagon / hexacontakaiheptahedron
68 / ξηʹ / hexacontakaiocta- / hexacontakaioctad / hexacontakaioctagon / hexacontakaioctahedron
69 / ξθʹ / hexacontakaiennea- / hexacontakaiennead / hexacontakaienneagon / hexacontakaienneahedron
70 / οʹ / heptaconta- / heptacontad / heptacontagon / heptacontahedron
71 / οαʹ / heptacontakaihena- / heptacontakaihenad / heptacontakaihenagon / heptacontakaihenahedron
72 / οβʹ / heptacontakaidi- / heptacontakaidyad / heptacontakaidigon / heptacontakaidihedron
73 / ογʹ / heptacontakaitri- / heptacontakaitriad / heptacontakaitrigon / heptacontakaitrihedron
74 / οδʹ / heptacontakaitetra- / heptacontakaitetrad / heptacontakaitetragon / heptacontakaitetrahedron
75 / οεʹ / heptacontakaipenta- / heptacontakaipentad / heptacontakaipentagon / heptacontakaipentahedron
76 / οϝʹ / heptacontakaihexa- / heptacontakaihexad / heptacontakaihexagon / heptacontakaihexahedron
77 / οζʹ / heptacontakaihepta- / heptacontakaiheptad / heptacontakaiheptagon / heptacontakaiheptahedron
78 / οηʹ / heptacontakaiocta- / heptacontakaioctad / heptacontakaioctagon / heptacontakaioctahedron
79 / οθʹ / heptacontakaiennea- / heptacontakaiennead / heptacontakaienneagon / heptacontakaienneahedron
80 / πʹ / octaconta- / octacontad / octacontagon / octacontahedron
81 / παʹ / octacontakaihena- / octacontakaihenad / octacontakaihenagon / octacontakaihenahedron
82 / πβʹ / octacontakaidi- / octacontakaidyad / octacontakaidigon / octacontakaidihedron
83 / πγʹ / octacontakaitri- / octacontakaitriad / octacontakaitrigon / octacontakaitrihedron
84 / πδʹ / octacontakaitetra- / octacontakaitetrad / octacontakaitetragon / octacontakaitetrahedron
85 / πεʹ / octacontakaipenta- / octacontakaipentad / octacontakaipentagon / octacontakaipentahedron
86 / πϝʹ / octacontakaihexa- / octacontakaihexad / octacontakaihexagon / octacontakaihexahedron
87 / πζʹ / octacontakaihepta- / octacontakaiheptad / octacontakaiheptagon / octacontakaiheptahedron
88 / πηʹ / octacontakaiocta- / octacontakaioctad / octacontakaioctagon / octacontakaioctahedron
89 / πθʹ / octacontakaiennea- / octacontakaiennead / octacontakaienneagon / octacontakaienneahedron
90 / ϟʹ / enneaconta- / enneacontad / enneacontagon / enneacontahedron
91 / ϟαʹ / enneacontakaihena- / enneacontakaihenad / enneacontakaihenagon / enneacontakaihenahedron
92 / ϟβʹ / enneacontakaidi- / enneacontakaidyad / enneacontakaidigon / enneacontakaidihedron
93 / ϟγʹ / enneacontakaitri- / enneacontakaitriad / enneacontakaitrigon / enneacontakaitrihedron
94 / ϟδʹ / enneacontakaitetra- / enneacontakaitetrad / enneacontakaitetragon / enneacontakaitetrahedron
95 / ϟεʹ / enneacontakaipenta- / enneacontakaipentad / enneacontakaipentagon / enneacontakaipentahedron
96 / ϟϝʹ / enneacontakaihexa- / enneacontakaihexad / enneacontakaihexagon / enneacontakaihexahedron
97 / ϟζʹ / enneacontakaihepta- / enneacontakaiheptad / enneacontakaiheptagon / enneacontakaiheptahedron
98 / ϟηʹ / enneacontakaiocta- / enneacontakaioctad / enneacontakaioctagon / enneacontakaioctahedron
99 / ϟθʹ / enneacontakaiennea- / enneacontakaiennead / enneacontakaienneagon / enneacontakaienneahedron
100 / ρʹ / hecto- / hectad / hectogon / hectohedron